SHACAL

SHACAL
General
Designers	Helena Handschuh, David Naccache
Derived from	SHA-1, SHA-256
Related to	Crab
Certification	NESSIE (SHACAL-2)
Cipher detail
Key sizes	128 to 512 bits
Block sizes	160 bits (SHACAL-1),; 256 bits (SHACAL-2)
Structure	Cryptographic hash function
Rounds	80

SHACAL-1 (originally simply SHACAL) is a 160-bit block cipher based on SHA-1, and supports keys from 128-bit to 512-bit. SHACAL-2 is a 256-bit block cipher based upon the larger hash function SHA-256.

Both SHACAL-1 and SHACAL-2 were selected for the second phase of the NESSIE project. However, in 2003, SHACAL-1 was not recommended for the NESSIE portfolio because of concerns about its key schedule, while SHACAL-2 was finally selected as one of the 17 NESSIE finalists.

Design

SHACAL-1 is based on the following observation of SHA-1:

The hash function SHA-1 is designed around a compression function. This function takes as input a 160-bit state and a 512-bit data word and outputs a new 160-bit state after 80 rounds. The hash function works by repeatedly calling this compression function with successive 512-bit data blocks and each time updating the state accordingly. This compression function is easily invertible if the data block is known, i.e. given the data block on which it acted and the output of the compression function, one can compute that state that went in.

SHACAL-1 turns the SHA-1 compression function into a block cipher by using the state input as the data block and using the data input as the key input. In other words, SHACAL-1 views the SHA-1 compression function as an 80-round, 160-bit block cipher with a 512-bit key. Keys shorter than 512 bits are supported by padding them with zeros. SHACAL-1 is not intended to be used with keys shorter than 128 bits.

Security of SHACAL-1

In the paper "Related-key rectangle attack on the full SHACAL-1", 2006, Orr Dunkelman, Nathan Keller and Jongsung Kim presented a related-key rectangle attack on the full 80 rounds of SHACAL-1.

In the paper "Differential and Rectangle Attacks on Reduced-Round SHACAL-1", Jiqiang Lu, Jongsung Kim, Nathan Keller and Orr Dunkelman presented rectangle attacks on the first 51 rounds and a series of 52 inner rounds of SHACAL-1 and presented differential attacks on the first 49 rounds and a series of 55 inner rounds of SHACAL-1. These are the best currently known cryptanalytic results on SHACAL-1 in a single key attack scenario.

Security of SHACAL-2

In the paper "Related-Key Rectangle Attack on 42-Round SHACAL-2", Jiqiang Lu, Jongsung Kim, Nathan Keller, Orr Dunkelman presented a related-key rectangle attack on 42-round SHACAL-2.

In 2008 Lu and Kim presented a related-key rectangle attack on 44-round SHACAL-2. This is the best currently known cryptanalytic result on SHACAL-2.

References

Eli Biham, Orr Dunkelman, Nathan Keller (February 2003). Rectangle Attacks on 49-Round SHACAL-1 (PDF). 10th International Workshop on Fast Software Encryption (FSE '03). Lund: Springer-Verlag. pp. 22–35. Archived from the original (PDF) on 2007-09-26. Retrieved 2007-07-02.{{cite conference}}: CS1 maint: multiple names: authors list (link)
Helena Handschuh, Lars R. Knudsen, Matthew J. B. Robshaw (April 2001). Analysis of SHA-1 in Encryption Mode (PDF/PostScript). CT-RSA 2001, The Cryptographer's Track at RSA Conference 2001. San Francisco, California: Springer-Verlag. pp. 70–83. Retrieved 2007-07-02.{{cite conference}}: CS1 maint: multiple names: authors list (link)
Seokhie Hong; Jongsung Kim; Guil Kim; Jaechul Sung; Changhoon Lee; Sangjin Lee (December 2003). Impossible Differential Attack on 30-Round SHACAL-2. 4th International Conference on Cryptology in India (INDOCRYPT 2003). New Delhi: Springer-Verlag. pp. 97–106.
Jongsung Kim; Guil Kim; Sangjin Lee; Jongin Lim; Junghwan Song (December 2004). Related-Key Attacks on Reduced Rounds of SHACAL-2. INDOCRYPT 2004. Chennai: Springer-Verlag. pp. 175–190.
Jongsung Kim; Guil Kim; Seokhie Hong; Sangjin Lee; Dowon Hong (July 2004). The Related-Key Rectangle Attack — Application to SHACAL-1. 9th Australasian Conference on Information Security and Privacy (ACISP 2004). Sydney: Springer-Verlag. pp. 123–136.
Jongsung Kim; Dukjae Moon; Wonil Lee; Seokhie Hong; Sangjin Lee; Seokwon Jung (December 2002). Amplified Boomerang Attack against Reduced-Round SHACAL. ASIACRYPT 2002. Queenstown, New Zealand: Springer-Verlag. pp. 243–253.
Markku-Juhani Olavi Saarinen (February 2003). Cryptanalysis of Block Ciphers Based on SHA-1 and MD5 (PDF). FSE '03. Lund: Springer-Verlag. pp. 36–44. Archived from the original (PDF) on 2006-12-24. Retrieved 2007-07-02.
YongSup Shin; Jongsung Kim; Guil Kim; Seokhie Hong; Sangjin Lee (July 2004). Differential-Linear Type Attacks on Reduced Rounds of SHACAL-2. ACISP 2004. Sydney: Springer-Verlag. pp. 110–122.
Jiqiang Lu; Jongsung Kim; Nathan Keller; Orr Dunkelman (2006). Related-Key Rectangle Attack on 42-Round SHACAL-2 (PDF). Information Security, 9th International Conference (ISC 2006). Samos: Springer-Verlag. pp. 85–100. Archived from the original (PDF) on 2006-09-25. Retrieved 2007-07-02.
Jiqiang Lu; Jongsung Kim; Nathan Keller; Orr Dunkelman (December 2006). Differential and Rectangle Attacks on Reduced-Round SHACAL-1 (PDF). INDOCRYPT 2006. Kolkata: Springer-Verlag. pp. 17–31. Retrieved 2007-07-02.
O. Dunkelman; N. Keller; J. Kim (August 2006). Related-key rectangle attack on the full SHACAL-1 (PostScript). Selected Areas in Cryptography (SAC 2006), to appear. Montreal: Springer-Verlag. pp. 16 pages. Retrieved 2007-07-02.
Jiqiang Lu; Jongsung Kim (September 2008). "Attacking 44 Rounds of the SHACAL-2 Block Cipher Using Related-Key Rectangle Cryptanalysis" (PDF). IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. IEICE: 2599–2596. Retrieved 2012-01-30.