Hiji-bij-bij: A New Stream Cipher with a Self-synchronizing Mode of Operation
In this paper, we present a new stream cipher called Hiji-bij-bij (HBB). The basic design principle of HBB is to mix a linear and a nonlinear map. Our innovation is in the design of the linear and the nonlinear maps. The linear map is realised using two 256-bit maximal period 90/150 cellular automata. The nonlinear map is simple and consists of several alternating linear and nonlinear layers. We prove that the mixing achieved by the nonlinear map is complete and the maximum bias in any non-zero linear combination of the input and output bits of the nonlinear map is at most 2− 13. We also identify a self synchronizing (SS) mode of operation for HBB. The performance of HBB is reasonably good in software and is expected to be very fast in hardware. To the best of our knowledge, a generic exhaustive search seems to be the only method of attacking the cipher.
Keywordsstream cipher self-synchronization cellular automata
Unable to display preview. Download preview PDF.
- 5.Daemen, J., Rijmen, V.: The design of Rijndael. Springer Verlag Series on Information Security and Cryptography (2002) ISBN 3-540-42580-2Google Scholar
- 7.Golic, J.D.: Modes of Operation of Stream Ciphers. In: Proceedings of Selected Areas in Cryptography 2000, pp. 233–247 (2000)Google Scholar
- 9.Nyberg, K.: Differentially Uniform Mappings for Cryptography. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 55–64. Springer, Heidelberg (1994)Google Scholar
- 13.Tezuka, S., Fushimi, M.: A method of designing cellular automata as pseudo random number generators for built-in self-test for VLSI. In: Finite Fields: Theory, Applications and Algorithms, Contemporary Mathematics, AMS, pp. 363–367 (1994)Google Scholar