I'm looking for a simple encryption tutorial, for encoding a string into another string. I'm looking for it in general mathematical terms or psuedocode; we're doing it in a scripting language that doesn't have access to libraries.
We have a Micros POS ( point of sale ) system and we want to write a script that puts an encoded string on the bottom of receipts. This string is what a customer would use to log on to a website and fill out a survey about the business.
So in this string, I would like to get a three-digit hard-coded location identifier, the date, and time; e.g.:
0010912041421
Where 001 is the location identifier, 09 the year, 12 the month, and 04 the day, and 1421 the military time ( 2:41 PM ). That way we know which location the respondent visited and when.
Obviously if we just printed that string, it would be easy for someone to crack the 'code' and fill out endless surveys at our expense, without having actually visited our stores. So if we could do a simple encryption, and decode it with a pre-set key, that would be great. The decoding would take place on the website.
The encrypted string should also be about the same number of characters, to lessen the chance of people mistyping a long arbitrary string.
Encryption won't give you any integrity protection or authentication, which are what you need in this application. The customer knows when and where they made a purchase, so you have nothing to hide.
Instead, consider using a Message Authentication Code. These are often based on a cryptographic hash, such as SHA-1.
Also, you'll want to consider a replay attack. Maybe I can't produce my own code, but what's to stop me from coming back a few times with the same code? I assume you might serve more than one customer per minute, and so you'll want to accept duplicate timestamps from the same location.
In that case, you'll want to add a unique identifier. It might only be unique when combined with the timestamp. Or, you could simply extend the timestamp to include seconds or tenths of seconds.
First off, I should point out that this is probably a fair amount of work to go through if you're not solving a problem you are actually having. Since you're going to want some sort of monitoring/analysis of your survey functionality anyway, you're probably better off trying to detect suspicious behavior after the fact and providing a way to rectify any problems.
I don't know if it would be feasible in your situation, but this is a textbook case for asymmetric crypto.
Give each POS terminal it's own private key
Give each POS terminal the public key of your server
Have the terminal encrypt the date, location, etc. info (using the server's public key)
Have the terminal sign the encrypted data (using the terminal's private key)
Encode the results into human-friendly string (Base64?)
Print the string on the receipt
You may run into problems with the length of the human-friendly string, though.
NOTE You may need to flip flop the signing and encrypting steps; I don't have my crypto reference book(s) handy. Please look this up in a reputable reference, such as Applied Cryptography by Schneier.
Which language are you using/familiar with?
The Rijndael website has c source code to implement the Rijndael algorithm. They also have pseudo code descriptions of how it all works. Which is probably the best you could go with. But most of the major algorithms have source code provided somewhere.
If you do implement your own Rijndael algorithm, then be aware that the Advanced Encryption Standard limits the key and block size. So if you want to be cross compatible you will need to use those sizes I think 128 key size and 128, 192, 256 key sizes.
Rolling your own encryption algorithm is something that you should never do if you can avoid it. So finding a real algorithm and implementing it if you have to is definitely a better way to go.
Another alternative that might be easier is DES, or 3DES more specifically. But I don't have a link handy. I'll see if I can dig one up.
EDIT:
This link has the FIPS standard for DES and Triple DES. It contains all the permutation tables and such, I remember taking some 1s and 0s through a round of DES manually once. So it is not too hard to implement once you get going, just be careful not to change around the number tables. P and S Boxes they are called if I remember correctly.
If you go with these then use Triple DES not DES, 3DES actually uses two keys, doubling the key size of the algorithm, which is the only real weakness of DES. It has not been cracked as far as I know by anything other than brute force. 3DES goes through des using one key to encrypt, the other to decrypt, and the same one to encrypt again.
The Blowfish website also has links to implement the Blowfish algorithm in various languages.
I've found Cryptographic Right Answers to be a helpful guide in choosing the right cryptographic primitives to use under various circumstances. It tells you what crypto/hash to use and what sizes are appropriate. It contains links to the various cryptographic primitives it refers to.
One way would be to use AES - taking the location, year, month, and day - encoding it using a private key and then tacking on the last 4 digits (the military time) as the inversion vector. You can then convert it to some form of Base32. You'll end up with something that looks like a product key. It may be too long for you though.
A slight issue would be that you would probably want to use more digits on the military time though since you could conceivably get multiple transactions on the same day from the same location within the same minute.
What I want to use is XOR. It's simple enough that we can do it in the proprietary scripting language ( we're not going to be able to do any real encryption in it ), and if someone breaks it, they we can change the key easily enough.
Related
I need to encrypt user names that i receive from an external partners SSO. This needs to be done because the user names are assigned to school children. But we still need to be able to track each individual to prevent abuse of our systems, so we have decided to encrypt the user names in our logs etc.
This way, a breach of our systems will not compromise the identity of the children.
Heres my predicament. I have very limited knowledge in this area, so i am looking for advice on which algorithm to use.
I was thinking of using an asymmetrical algorithm, like PGP, and throwing away one of the keys so that we will not be able to decrypt the user name.
My questions:
Does PGP encryption always provide the same output given the same input?
Is PGP a good choice for this, or should we use an other algorithm?
Does anyone have a better suggestion for achieving the same thing - anonymization of the user
If you want a one-way function, you don't want encryption. You want hashing. The easiest thing to do is to use a hash like SHA-256. I recommend salting the username before hashing. In this case, I would probably pick a static salt like edu.myschoolname: and put that in front of the username. Then run that through SHA-256. Convert the result to Base-64 or hex encoding, and use the resulting string as the "username."
From a unix command line, this would look like:
$ echo -n "edu.myschoolname:robnapier#myschoolname.edu" | shasum -a 256
09356cf6df6aea20717a346668a1aad986966b192ff2d54244802ecc78f964e3 -
That output is unique to that input string (technically it's not "unique" but you will never find a collision, by accident or by searching). And that output is stable, in that it will always be the same for the given input. (I believe that PGP includes some randomization; if it doesn't, it should.)
(Regarding comments below)
Cryptographic hash algorithms are extremely secure for their purposes. Non-cryptographic hash algorithms are not secure (but also aren't meant to be). There are no major attacks I know of against SHA-2 (which includes SHA-256 and SHA-512).
You're correct that your system needs to be robust against someone with access to the code. If they know what userid they're looking for, however, no system will be resistant to them discovering the masked version of that id. If you encrypt, an attacker with access to the key can just encrypt the value themselves to figure out what it is.
But if you're protecting against the reverse: preventing attackers from determining the id when they do not already know the id they're looking for, the correct solution is a cryptographic hash, specifically SHA-256 or SHA-512. Using PGP to create a one-way function is using a cryptographic primitive for something it is not built to do, and that's always a mistake. If you want a one-way function, you want a hash.
I think that PGP is a good Idea, but risk to make usernames hard to memorize, why not simply make a list of usernames composed with user + OrderedNumbers where user can be wichever word you want and oredered number is a 4-5 digit number ordered by birth date of childrens?Once you have done this you only have to keep a list where the usernames are linked wit the corresponding child abd then you can encript this "nice to have" list with a key only you know.
I've an idea in my mind but I've no idea what the magic words are to use in Google - I'm hoping to describe the idea here and maybe someone will know what I'm looking for.
Imagine you have a database. Lots of data. It's encrypted. What I'm looking for is an encryption whereby to decrypt, a variable N must at a given time hold the value M (obtained from a third party, like a hardware token) or it failed to decrypt.
So imagine AES - well, AES is just a single key. If you have the key, you're in. Now imagine AES modified in such a way that the algorithm itself requires an extra fact, above and beyond the key - this extra datum from an external source, and where that datum varies over time.
Does this exist? does it have a name?
This is easy to do with the help of a trusted third party. Yeah, I know, you probably want a solution that doesn't need one, but bear with me — we'll get to that, or at least close to that.
Anyway, if you have a suitable trusted third party, this is easy: after encrypting your file with AES, you just send your AES key to the third party, ask them to encrypt it with their own key, to send the result back to you, and to publish their key at some specific time in the future. At that point (but no sooner), anyone who has the encrypted AES key can now decrypt it and use it to decrypt the file.
Of course, the third party may need a lot of key-encryption keys, each to be published at a different time. Rather than storing them all on a disk or something, an easier way is for them to generate each key-encryption key from a secret master key and the designated release time, e.g. by applying a suitable key-derivation function to them. That way, a distinct and (apparently) independent key can be generated for any desired release date or time.
In some cases, this solution might actually be practical. For example, the "trusted third party" might be a tamper-resistant hardware security module with a built-in real time clock and a secure external interface that allows keys to be encrypted for any release date, but to be decrypted only for dates that have passed.
However, if the trusted third party is a remote entity providing a global service, sending each AES key to them for encryption may be impractical, not to mention a potential security risk. In that case, public-key cryptography can provide a solution: instead of using symmetric encryption to encrypt the file encryption keys (which would require them either to know the file encryption key or to release the key-encryption key), the trusted third party can instead generate a public/private key pair for each release date and publish the public half of the key pair immediately, but refuse to disclose the private half until the specified release date. Anyone else holding the public key may encrypt their own keys with it, but nobody can decrypt them until the corresponding private key has been disclosed.
(Another partial solution would be to use secret sharing to split the AES key into the shares and to send only one share to the third party for encryption. Like the public-key solution described above, this would avoid disclosing the AES key to the third party, but unlike the public-key solution, it would still require two-way communication between the encryptor and the trusted third party.)
The obvious problem with both of the solutions above is that you (and everyone else involved) do need to trust the third party generating the keys: if the third party is dishonest or compromised by an attacker, they can easily disclose the private keys ahead of time.
There is, however, a clever method published in 2006 by Michael Rabin and Christopher Thorpe (and mentioned in this answer on crypto.SE by one of the authors) that gets at least partially around the problem. The trick is to distribute the key generation among a network of several more or less trustworthy third parties in such a way that, even if a limited number of the parties are dishonest or compromised, none of them can learn the private keys until a sufficient majority of the parties agree that it is indeed time to release them.
The Rabin & Thorpe protocol also protects against a variety of other possible attacks by compromised parties, such as attempts to prevent the disclosure of private keys at the designated time or to cause the generated private or public keys not to match. I don't claim to understand their protocol entirely, but, given that it's based on a combination of existing and well studies cryptographic techniques, I see no reason why it shouldn't meet its stated security specifications.
Of course, the major difficulty here is that, for those security specifications to actually amount to anything useful, you do need a distributed network of key generators large enough that no single attacker can plausibly compromise a sufficient majority of them. Establishing and maintaining such a network is not a trivial exercise.
Yes, the kind of encrpytion you are looking for exists. It is called timed-release encryption, or abbreviated TRE. Here is a paper about it: http://cs.brown.edu/~foteini/papers/MathTRE.pdf
The following is an excerpt from the abstract of the above paper:
There are nowdays various e-business applications, such as sealedbid auctions and electronic voting, that require time-delayed decryption of encrypted data. The literature oers at least three main categories of protocols that provide such timed-release encryption (TRE).
They rely either on forcing the recipient of a message to solve some time-consuming, non-paralellizable problem before being able to decrypt, or on the use of a trusted entity responsible for providing a piece of information which is necessary for decryption.
I personally like another name, which is "time capsule cryptography", probably coined at crypto.stackoverflow.com: Time Capsule cryptography?.
A quick answer is no: the key used to decrypt the data cannot change in time, unless you decrypt and re-encrypt all the database periodically (I suppose it is not feasible).
The solution suggested by #Ilmari Karonen is the only one feasible but it needs a trusted third party, furthermore, once obtained the master AES key it is reusable in the future: you cannot use 'one time pads' with that solution.
If you want your token to be time-based you can use TOTP algorithm
TOTP can help you generate a value for variable N (token) at a given time M. So the service requesting the access to your database would attach a token which was generated using TOTP. During validation of token at access provider end, you'll validate if the token holds the correct value based on the current time. You'll need to have a Shared Key at both the ends to generate same TOTP.
The advantage of TOTP is that the value changes with time and one token cannot be reused.
I have implemented a similar thing for two factor authentication.
"One time Password" could be your google words.
I believe what you are looking for is called Public Key Cryptography or Public Key Encryption.
Another good word to google is "asymmetric key encryption scheme".
Google that and I'm quite sure you'll find what you're looking for.
For more information Wikipedia's article
An example of this is : Diffie–Hellman key exchange
Edit (putting things into perspective)
The second key can be determined by an algorithm that uses a specific time (for example at the insert of data) to generate the second key which can be stored in another location.
As other guys pointed out One Time Password may be a good solution for the scenario you proposed.
There's an OTP implemented in C# that you might take a look https://code.google.com/p/otpnet/.
Ideally, we want a generator that depends on the time, but I don't know any algorithm that can do that today.
More generally, if Alice wants to let Bob know about something at a specific point in time, you can consider this setup:
Assume we have a public algorithm that has two parameters: a very large random seed number and the expected number of seconds the algorithm will take to find the unique solution of the problem.
Alice generates a large seed.
Alice runs it first on her computer and computes the solution to the problem. It is the key. She encrypts the message with this key and sends it to Bob along with the seed.
As soon as Bob receives the message, Bob runs the algorithm with the correct seed and finds the solution. He then decrypts the message with this key.
Three flaws exist with this approach:
Some computers can be faster than others, so the algorithm has to be made in such a way as to minimize the discrepancies between two different computers.
It requires a proof of work which may be OK in most scenarios (hello Bitcoin!).
If Bob has some delay, then it will take him more time to see this message.
However, if the algorithm is independent of the machine it runs on, and the seed is large enough, it is guaranteed that Bob will not see the content of the message before the deadline.
I'm working on a new licensing scheme for my software, based on OpenSSL public / private key encryption. My past approach, based on this article, was to use a large private key size and encrypt an SHA1 hashed string, which I sent to the customer as a license file (the base64 encoded hash is about a paragraph in length). I know someone could still easily crack my application, but it prevented someone from making a key generator, which I think would hurt more in the long run.
For various reasons I want to move away from license files and simply email a 16 character base32 string the customer can type into the application. Even using small private keys (which I understand are trivial to crack), it's hard to get the encrypted hash this small. Would there be any benefit to using the same strategy to generated an encrypted hash, but simply using the first 16 characters as a license key? If not, is there a better alternative that will create keys in the format I want?
DSA signatures are signficantly shorter than RSA ones. DSA signatures are the twice the size of the Q parameter; if you use the OpenSSL defaults, Q is 160 bits, so your signatures fit into 320 bits.
If you can switch to a base-64 representation (which only requires upper-and-lower case alphanumerics, the digits and two other symbols) then you will need 53 symbols, which you could do with 11 groups of 5. Not quite the 16 that you wanted, but still within the bounds of being user-enterable.
Actually, it occurs to me that you could halve the number of bits required in the license key. DSA signatures are made up of two numbers, R and S, each the size of Q. However, the R values can all be pre-computed by the signer (you) - the only requirement is that you never re-use them. So this means that you could precalculate a whole table of R values - say 1 million of them (taking up 20MB) - and distribute these as part of the application. Now when you create a license key, you pick the next un-used R value, and generate the S value. The license key itself only contains the index of the R value (needing only 20 bits) and the complete S value (160 bits).
And if you're getting close to selling a million copies of the app - a nice problem to have - just create a new version with a new R table.
Did you consider using some existing protection + key generation scheme? I know that EXECryptor (I am not advertising it at all, this is just some info I remember) offers strong protection whcih together with complimentatary product of the same guys, StrongKey (if memory serves) offers short keys and protection against cracking. Armadillo is another product name that comes to my mind, though I don't know what level of protection they offer now. But they also had short keys earlier.
In general, cryptographically strong short keys are based on some aspects of ECC (elliptic curve cryptography). Large part of ECC is patented, and in overall ECC is hard to implement right and so industry solution is a preferred way to go.
Of course, if you don't need strong keys, you can go with just a hash of "secret word" (salt) + user name, and verify them in the application, but this is crackable in minutes.
Why use public key crypto? It gives you the advantage that nobody can reverse-engineer the executable to create a key generator, but key generators are a somewhat secondary risk compared to patching the executable to skip the check, which is generally much easier for an attacker, even with well-obfuscated executables.
Eugene's suggestion of using ECC is a good one - ECC keys are much shorter than RSA or DSA for a given security level.
However, 16 characters in base 32 is still only 5*16=80 bits, which is low enough that brute-forcing for valid keys might be practical, regardless of what algorithm you use.
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Duplicate:
Confused about hashes
How can SHA encryption create unique 40 character hash for any string, when there are n infinite number of possible input strings but only a finite number of 40 character hashes?
SHA is not an encryption algorithm, it is a cryptographic hashing algorithm.
Check out this reference at Wikipedia
The simple answer is that it doesn't create a unique 40 character hash for any string - it's inevitable that different strings will have the same hash.
It does try to make sure that close-by string will have very different hashes. 40 characters is a pretty long hash, so the chance of collision is quite low unless you're doing ridiculous numbers of them.
SHA doesn't create a unique 40 character hash for any string. If you create enough hashes, you'll get a collision (two inputs that hash to the same output) eventually. What makes SHA and other hash functions cryptographically useful is that there's no easy way to find two files that will have the same hash.
To elaborate on jdigital's answer:
Since it's a hash algorithm and not an encryption algorithm, there is no need to reverse the operation. This, in turn, means that the result does not need to be unique; there are (in theory) in infinite number of strings that will result in the same hash. Finding out which on those are is practically impossible, though.
Hash algorithms like SHA-1 or the SHA-2 family are used as "one-way" hashes in support of password-based authentication. It is not computationally feasible to find a message (password) that hashes to a given value. So, if an attacker obtains the list of hashed passwords, they can't determine the original passwords.
You are correct that, in general, there are an infinite number of messages that hash to a given value. It's still hard to find one though.
It does not guarantee that two strings will have unique 40 character hashes. What it does is provide an extremely low probability that two strings will have conflicting hashes, and makes it very difficult to create two conflicting documents without just randomly trying inputs.
Generally, a low enough probability of something bad happening is as good as a guarantee that it never will. As long as it's more likely that the world will end when a comet hits it, the chance of a colliding hash isn't generally worth worrying about.
Of course, secure hash algorithms are not perfect. Because they are used in cryptography, they are very valuable things to try and crack. SHA-1, for instance, has been weakened (you can find a collision in 2000 times fewer guesses than just doing random guessing); MD5 has been completely cracked, and security researchers have actually created two certificates which have the same MD5 sum, and got one of them signed by a certificate authority, thus allowing them to use the other one as if it had been signed by the certificate authority. You should not blindly put your faith in cryptographic hashes; once one has been weakened (like SHA-1), it is time to look for a new hash, which is why there is currently a competition to create a new standard hash algorithm.
The function is something like:
hash1 = SHA1(plaintext1)
hash2 = SHA1(plaintext2)
now, hash1 and hash2 can technically be the same. It's a collision. Not common, but possible, and not a problem.
The real magic is in the fact that it's impossible to do this:
plaintext1 = SHA1-REVERSE(hash1)
So you can never reverse it. Handy if you dont want to know what a password is, only that the user gave you the same one both times. Think about it. You have 1024 bytes of input. You get 40 bits of output. How can you EVER reconstruct those 1024 bytes from the 40 - you threw information away. It's just not possible (well, unless you design the algorithm to allow it, I guess....)
Also, if 40 bits isn't enough, use SHA256 or something with a bigger output. And Salt it. Salt is good.
Oh, and as an aside: any website which emails you your password, is not hashing it's passwords. It's either storing them unencrypted (run, run screaming), or encrypting them with a 2 way encryption (DES, AES, public-private key et al - trust them a little more)
There is ZERO reasons for a website to be able to email you your password, or need to store anything but the hash. /rant.
Nice observation. Short answer it can't and leads to collisions which can be exploited in birthday attacks.
The simple answer is: it doesn't create unique hashes. Look at the Pidgeonhole priciple. It's just so unlikely for there to be a collision that nobody has ever found one.
What is the difference between Obfuscation, Hashing, and Encryption?
Here is my understanding:
Hashing is a one-way algorithm; cannot be reversed
Obfuscation is similar to encryption but doesn't require any "secret" to understand (ROT13 is one example)
Encryption is reversible but a "secret" is required to do so
Hashing is a technique of creating semi-unique keys based on larger pieces of data. In a given hash you will eventually have "collisions" (e.g. two different pieces of data calculating to the same hash value) and when you do, you typically create a larger hash key size.
obfuscation generally involves trying to remove helpful clues (i.e. meaningful variable/function names), removing whitespace to make things hard to read, and generally doing things in convoluted ways to make following what's going on difficult. It provides no serious level of security like "true" encryption would.
Encryption can follow several models, one of which is the "secret" method, called private key encryption where both parties have a secret key. Public key encryption uses a shared one-way key to encrypt and a private recipient key to decrypt. With public key, only the recipient needs to have the secret.
That's a high level explanation. I'll try to refine them:
Hashing - in a perfect world, it's a random oracle. For the same input X, you always recieve the same output Y, that is in NO WAY related to X. This is mathematically impossible (or at least unproven to be possible). The closest we get is trapdoor functions. H(X) = Y for with H-1(Y) = X is so difficult to do you're better off trying to brute force a Z such that H(Z) = Y
Obfuscation (my opinion) - Any function f, such that f(a) = b where you rely on f being secret. F may be a hash function, but the "obfuscation" part implies security through obscurity. If you never saw ROT13 before, it'd be obfuscation
Encryption - Ek(X) = Y, Dl(Y) = X where E is known to everyone. k and l are keys, they may be the same (in symmetric, they are the same). Y is the ciphertext, X is the plaintext.
A hash is a one way algorithm used to compare an input with a reference without compromising the reference.
It is commonly used in logins to compare passwords and you can also find it on your reciepe if you shop using credit-card. There you will find your credit-card-number with some numbers hidden, this way you can prove with high propability that your card was used to buy the stuff while someone searching through your garbage won't be able to find the number of your card.
A very naive and simple hash is "The first 3 letters of a string".
That means the hash of "abcdefg" will be "abc". This function can obviously not be reversed which is the entire purpose of a hash. However, note that "abcxyz" will have exactly the same hash, this is called a collision. So again: a hash only proves with a certain propability that the two compared values are the same.
Another very naive and simple hash is the 5-modulus of a number, here you will see that 6,11,16 etc.. will all have the same hash: 1.
Modern hash-algorithms are designed to keep the number of collisions as low as possible but they can never be completly avoided. A rule of thumb is: the longer your hash is, the less collisions it has.
Obfuscation in cryptography is encoding the input data before it is hashed or encrypted.
This makes brute force attacks less feasible, as it gets harder to determine the correct cleartext.
That's not a bad high-level description. Here are some additional considerations:
Hashing typically reduces a large amount of data to a much smaller size. This is useful for verifying the contents of a file without having to have two copies to compare, for example.
Encryption involves storing some secret data, and the security of the secret data depends on keeping a separate "key" safe from the bad guys.
Obfuscation is hiding some information without a separate key (or with a fixed key). In this case, keeping the method a secret is how you keep the data safe.
From this, you can see how a hash algorithm might be useful for digital signatures and content validation, how encryption is used to secure your files and network connections, and why obfuscation is used for Digital Rights Management.
This is how I've always looked at it.
Hashing is deriving a value from
another, using a set algorithm. Depending on the algo used, this may be one way, may not be.
Obfuscating is making something
harder to read by symbol
replacement.
Encryption is like hashing, except the value is dependent on another value you provide the algorithm.
A brief answer:
Hashing - creating a check field on some data (to detect when data is modified). This is a one way function and the original data cannot be derived from the hash. Typical standards for this are SHA-1, SHA256 etc.
Obfuscation - modify your data/code to confuse anyone else (no real protection). This may or may not loose some of the original data. There are no real standards for this.
Encryption - using a key to transform data so that only those with the correct key can understand it. The encrypted data can be decrypted to obtain the original data. Typical standards are DES, TDES, AES, RSA etc.
All fine, except obfuscation is not really similar to encryption - sometimes it doesn't even involve ciphers as simple as ROT13.
Hashing is one-way task of creating one value from another. The algorithm should try to create a value that is as short and as unique as possible.
obfuscation is making something unreadable without changing semantics. It involves value transformation, removing whitespace, etc. Some forms of obfuscation can also be one-way,so it's impossible to get the starting value
encryption is two-way, and there's always some decryption working the other way around.
So, yes, you are mostly correct.
Obfuscation is hiding or making something harder to understand.
Hashing takes an input, runs it through a function, and generates an output that can be a reference to the input. It is not necessarily unique, a function can generate the same output for different inputs.
Encryption transforms the input into an output in a unique manner. There is a one-to-one correlation so there is no potential loss of data or confusion - the output can always be transformed back to the input with no ambiguity.
Obfuscation is merely making something harder to understand by intruducing techniques to confuse someone. Code obfuscators usually do this by renaming things to remove anything meaningful from variable or method names. It's not similar to encryption in that nothing has to be decrypted to be used.
Typically, the difference between hashing and encryption is that hashing generally just employs a formula to translate the data into another form where encryption uses a formula requiring key(s) to encrypt/decrypt. Examples would be base 64 encoding being a hash algorithm where md5 being an encryption algorithm. Anyone can unhash base64 encoded data, but you can't unencrypt md5 encrypted data without a key.