GOST 28147-89

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GOST 28147-89
Diagram of GOST
General
Designers	USSR
First published	1990
Cipher detail
Key sizes	256 bits
Block sizes	64 bits
Structure	Feistel network
Rounds	32

GOST 28147-89 is a Soviet and Russian government standard symmetric key block cipher.

Developed in the 1970s, the standard had been marked "Top Secret" and then downgraded to "Secret" in 1990. Shortly after the dissolution of the USSR, it has been declassified and released to the public in 1994. GOST 28147 was a Soviet alternative to the United States standard algorithm, DES. Thus, the two are very similar in structure.

In cryptography, this standard is commonly referred to as just GOST (Russian: ГОСТ).

Contents 1 The algorithm 2 Cryptanalysis of GOST 3 See also 4 References 5 External links

[edit] The algorithm

GOST has a 64-bit block size and a key length of 256 bits. Its S-boxes can be secret, and they contain about 512 bits of secret information, so the effective key size can be increased to 768 bits; however, a chosen-key attack can recover the contents of the S-Boxes in approximately 2³² encryptions (Saarinen, 1998).

GOST is a Feistel network of 32 rounds. Its round function is very simple: add a 32-bit subkey modulo 2³², put the result through a layer of S-boxes, and rotate that result left by 11 bits. The result of that is the output of the round function. In the diagram to the left, one line represents 32 bits.

The subkeys are chosen in a pre-specified order. The key schedule is very simple: break the 256-bit key into eight 32-bit subkeys, and each subkey is used four times in the algorithm; the first 24 rounds use the key words in order, the last 8 rounds use them in reverse order.

The S-boxes accept a four-bit input and produce a four-bit output. The S-box substitution in the round function consists of eight 4 × 4 S-boxes. The S-boxes are implementation-dependent - parties that want to secure their communications using GOST must be using the same S-boxes. For extra security, the S-boxes can be kept secret. In the original standard where GOST was specified, no S-boxes were given, but they were to be supplied somehow. This led to speculation that organizations the government wished to spy on were given weak S-boxes. One GOST chip manufacturer reported that he generated S-boxes himself using a pseudorandom number generator (Schneier, 1996).

For example, the Central Bank of Russian Federation uses the following S-boxes:

#	S-Box
1	4 10 9 2 13 8 0 14 6 11 1 12 7 15 5 3
2	14 11 4 12 6 13 15 10 2 3 8 1 0 7 5 9
3	5 8 1 13 10 3 4 2 14 15 12 7 6 0 9 11
4	7 13 10 1 0 8 9 15 14 4 6 12 11 2 5 3
5	6 12 7 1 5 15 13 8 4 10 9 14 0 3 11 2
6	4 11 10 0 7 2 1 13 3 6 8 5 9 12 15 14
7	13 11 4 1 3 15 5 9 0 10 14 7 6 8 2 12
8	1 15 13 0 5 7 10 4 9 2 3 14 6 11 8 12

[edit] Cryptanalysis of GOST

Compared to DES, GOST has a very simple round function. However, the designers of GOST attempted to offset the simplicity of the round function by specifying the algorithm with 32 rounds and secret S-boxes.

Another concern is that the avalanche effect is slower to occur in GOST than in DES. This is because of GOST's lack of an expansion permutation in the round function, as well as its use of a rotation instead of a permutation. Again, this is offset by GOST's increased number of rounds.

There is not much published cryptanalysis of GOST, but a cursory glance says that it seems secure (Schneier, 1996). The large number of rounds and secret S-boxes makes both linear and differential cryptanalysis difficult. Its avalanche effect may be slower to occur, but it can propagate over 32 rounds very effectively.

[edit] See also

• U.S. Data Encryption Standard (DES)
• GOST standards

[edit] References

• Saarinen, Markku-Juhani (1998). A chosen key attack against the secret S-boxes of GOST.
• Schneier, Bruce. Applied Cryptography, 2nd edition, 1996. ISBN 0-471-11709-9.
• Alex Biryukov, David Wagner, Advanced Slide Attacks, EUROCRYPT 2000, LNCS, pp 589-606, 2000.

[edit] External links

• GOST — The Soviet Encryption Algorithm
• Online GOST encrypt and decrypt tool
• Online GOST hashing tool
• SCAN's entry for GOST

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