SXAL/MBAL

In cryptography, SXAL (substitution xor algorithm, sometimes called SXAL8) is a block cipher designed in 1993 by Yokohama-based Laurel Intelligent Systems. It is normally used in a special mode of operation called MBAL (multi-block algorithm). SXAL/MBAL has been used for encryption in a number of Japanese PC cards and smart cards.

SXAL

General
Designers	Laurel Intelligent Systems
First published	December 1993
Cipher detail
Key sizes	64 bits
Block sizes	64 bits
Structure	Substitution–permutation network
Rounds	8
Best public cryptanalysis
Differential and linear cryptanalysis

SXAL is an 8-round substitution–permutation network with block size and key size of 64 bits each. All operations are byte-oriented. The algorithm uses a single 8×8-bit S-box K, designed so that both K(X) and X XOR K(X) are injective functions. In each round, the bytes of the block are first permuted. Then each byte is XORed with a key byte and an earlier ciphertext byte, processed through the S-box, and XORed with the previous plaintext byte.

The key schedule is rather complex, processing the key with SXAL itself, beginning with a null key and using permuted intermediate results as later keys.

MBAL

MBAL is an encryption algorithm built using SXAL that can be applied to messages any number of bytes in length (at least 8). It uses two 64-bit extended keys for key whitening on the first 64 bits. The algorithm consists of 9 steps:

1. Pre-whitening
2. F_m: An expanded version of SXAL applied to the entire message
3. SXAL the block consisting of the first 4 and last 4 bytes
4. Reverse the byte order of the entire message
5. F_m
6. Reverse
7. SXAL the ends
8. F_m
9. Post-whitening

MBAL has been shown to be susceptible to both differential cryptanalysis and linear cryptanalysis.

External links

• ISO/IEC9979-0012 register entry (PDF), registered 23 October 1995
• U.S. patent 6,038,321, a patent on a communications system using SXAL/MBAL for encryption. Includes a description of SXAL/MBAL.
• Kobayashi, Kunio; Kazumaro Aoki (April 1999). "On linear cryptanalysis of MBAL ciphers (abstract)". Electronics and Communications in Japan (Part III: Fundamental Electronic Science). 82 (10). Wiley Interscience: 1–8. doi:10.1002/(SICI)1520-6440(199910)82:10<1::AID-ECJC1>3.0.CO;2-6. ISSN 1520-6440. Archived from the original on 2013-01-05. Retrieved 4 November 2009.