How would you do public key encryption by hand? - encryption

Can the public key encryption method be used if you were to encrypt and decrypt messages by hand using the pen and paper method? If so then how would you do it?
If it's possible, then can you provide a step-by-step example, perhaps by using keys that are only a few bits in length?

Related

Weak Encryption: Inadequate RSA Padding

The security check tool Fortify has detected vulnerability on the lines
RSAPKCS1SignatureDeformatter deformatter = new RSAPKCS1SignatureDeformatter(key);
deformatter.SetHashAlgorithm("SHA256");
The CreateDeformatter() method performs public key RSA encryption without OAEP padding, thereby making the encryption weak.
Could someone please share some light to find the exact problem for this.
I’m relatively new to the area of RSA.

Using AES encryption across javascript and c#

I'm trying to encrypt a string in javascript and then decrypt it back in server using c#. I thought of using System.Security.Cryptography.Rijndael on server side and some AES implementation like this or this on client-side.
I don't know much about cryptography, so basically I generate a key and send it to client and encrypt my text with that key and send it back to server.
My problem is that Javascript AES implementations use a key to encrypt a text but c# Rijndael class uses a key and a vector. where does that vector come from?
AES is just a block cipher, which is a cryptographic primitive. Its purpose is to encrypt one single block of data (16 bytes).
Encryption requires a lot more than that. You need a method to encrypt an arbitrary amount of data, and hopefully in a way that doesn't give away any information. To do this, you need to break the amount of data into blocks, pad the last part to a full block, and then somehow encrypt each block in a clever way. Doing that is the responsibility of the encryption mode.
The most trivial mode (electronic cookbook, ECB), just encrypts each block with the same key, but that's horribly dangerous. Other modes require some sort of initialization state, which needs to be random but can be publicly known.
To encrypt and decrypt your data, you must know both the block cipher and the encryption mode, on both sides, and you must find a way to generate the initial state on the encrypting side and to recover it on the decrpyting side to initialize the encoder and the decoder, respectively.
In a nutshell: You need a lot more information about what you're doing!
This isn't perhaps exactly what you are looking for. But I can think that what you actually need to do is implement SSL.
http://en.wikipedia.org/wiki/Secure_Sockets_Layer
This might solve your problem without needing to get involved with coding cryptography.

Encryption using SHA1

I am developing a large application and i need encryption when a data is traveling between two machines in different continents. I have never worked on encryption. I want a simple encryption which can be handled in PHP / Ruby / Python without any dependencies.
So i decided to use HMAC SHA1.
$pad=hash_hmac("sha1","The quick brown....","mykey");
This is what i found out after some research on the internet.
How hard it is to decrypt it if someone doesn't know the key? Also, any alternatives to this?
UPDATE - thanks for all the responses. Problem solved.
It's impossible to decrypt it, even if you know the key. HMAC SHA1 is a keyed hash algorithm, not encryption.
A hash is a cryptographic one-way function that always generates a value of the same length (I think SHA1 is 128-bits) regardless of the length of the input. The point of a hash is that, given the output value, it's computationally infeasible to find an input value to produce that output. A keyed hash is used to prevent rainbow table attacks. Even if you know the key you can't reverse the hash process.
For encryption you want to look at AES.
SHA1 is a one-way-hash function, by definition it is not decryptable by anyone. The question becomes if you have a plaintext T that hashes to H. How hard is it to find another T which also hashes to H.
According to Wikipedia, for SHA1, the best known brute force attack would take 2^51 evlautions to find a plain text that matches.
If you need actual encryption where you can reverse the process, you should take a look at AES256.
See:
http://en.wikipedia.org/wiki/Cryptographic_hash_function
For a general discussion on this.
Like Andrew said SHA1 is an hash algorithm and cannot be used for encryption (since you cannot get back the original value). The digest it produce can be used to validate the integrity of the data.
An HMAC is a construct above an hash algorithm that accept a key. However it's not for meant for encryption (again it can't be decrypted) but it allows you to sign the data, i.e. with the same key you'll be able to ensure the data was not tampered with during it's transfer.
Foe encryption you should look at using AES or, if applicable to your application, HTTPS (which will deal with more issues than you want to know about ;-)
SHA-1 , MD-5 are all one way Hashing algorithms.
They just generate a lengthy string. Each and every string when subjected to these functions will yield you a lengthy string which cannot be retained back.
They are far from encryptions.
If you are looking for encryption algorithms , go for AES (Advanced Encryption Standard) , DES (Data Encryption Standard) Algorithms.
As I say, this is a hash, so not an encryption/decryption problem. If you want to implement a straightforward encryption algorithm, I would recommend looking into XOR encryption. If the key is long enough (longer than the message) and your key sharing policy is suitably secure, this is a one time pad; otherwise, it can potentially be broken using statistical analysis.

How to write AES/CBC/PKCS5Padding encryption and decryption with Initialization Vector Parameter for BlackBerry

How to write a BlackBerry program for AES/CBC with Initialization Parameter ecncryption and Decryption
and this encryption and decryption should work independent on Programming language
Ex= If I encrypt some data using BlackBery I must be able to decrypt the same data using Java Program.
Thanks
Deepak
The decryption half of your question is answered here: decrypting data with AES/CBC/PKCS5Padding using blackberry
It should be easy to figure out encryption using the same pattern (use Encryptor instead of Decryptor engines, etc).
Have you read this KB article? http://www.blackberry.com/knowledgecenterpublic/livelink.exe/fetch/2000/348583/800332/800779/How_to_-_Use_Basic_Encryption.html?nodeid=800640&vernum=0
You will also need to use net.rim.device.api.crypto.CBCEncryptorEngine on top of the AESEncryptorEngine (and similar for decryption).
CBCEngine allows you upto 16 bytes for across platform. so donot use CBC. try to use the default supported cipher engine.
I think ECB will be great if you use.
Thanks
Sunil Kumar sahoo
Actually, you write your own code for AES algorithm and CBC mode, it is quite simple, around some hundreds of code lines. And, there should be reference implementation in Java language.

How to prove inconstructable cryptographic scheme?

I realize this question might not be that programming related, and that it by many will sound like a silly question due to the intuitive logical fault of this idéa.
My question is: is it provable impossible to construct a cryptographic scheme (implementable with a turing-complete programming language) where the encrypted data can be decrypted, without exposing a decryption key to the decrypting party?
Of course, I can see the intuitive logical fault to such a scheme, but as so often with formal logic and math, a formal proof have to be constructed before assuming such a statement. Is such a proof present, or can it easely be constructed?
Thank you for advice on this one!
Edit: Thank you all for valuable input to this discussion!
YES!!! This already exists and are called zero knowledge protocols and zero knowledge proofs.
See http://en.wikipedia.org/wiki/Zero-knowledge_proof
However, you have to have a quite a good background in mathematics and crypto to understand the way it works and why it works.
One example of a zero knowledge protocol is Schnorr's ZK protocol
No; but I'm not sure you're asking what you want to be asking.
Obviously any person who is decrypting something (i.e. using a decryption key) must, obviously, have the key, otherwise they aren't decrypting it.
Are you asking about RSA, which has different keys for decrypting and encrypting? Or are you asking about a system where you may get a different (valid) result, based on the key you use?
If by "decrypted" you just mean arrive at the clear text in some way, then it is certainly possible to create such a cryptographic scheme. In fact it already exists:
Take an asymmetric encryption scheme, eg: RSA where you have the public key but not the private key. Now we get a message that's been encrypted with the public key (and therefore needs the private key to decrypt it). We can get the original message by "brute force" (yes, this'll take an enormously long time given a reasonable key/block size) going through all possible candidates and encrypting them ourselves until we get the same encrypted text. Once we get the same encrypted text we know what the decrypted text would be without ever having discovered the private key.
Yes.
Proof: Encryption can be considered as a black box, so you get an input and an output and you have no idea how the black box transforms the input to get the output.
To reverse engineer the black box, you "simply" need to enumerate all possible Turing machines until one of them does produce the same result as the one you seek.
The same applies when you want to reverse the encryption.
Granted, this will take much more time than the universe will probably live, but it's not impossible that the algorithm will find a match before time runs out.
In practice, the question is how to efficiently find the key that will decode the output. This is a much smaller problem (since you already know the algorithm).
It's called encoding.
But everyone with the encoding algorithm can "decrypt" the message. This is the only way of keyless encryption.

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