Paper 2003/014 Original: eprint.iacr.org/2003/014 ↗

Hiji-bij-bij: A New Stream Cipher with a Self-Synchronizing Mode of Operation

Palash Sarkar
Abstract

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 mode ({\bf SS}) 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.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2003-09-17: last updated
2003-01-24: published
Short URL
https://ia.cr/2003/014
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2003/014,
      author = {Palash Sarkar},
      title = {Hiji-bij-bij: A New Stream Cipher with a Self-Synchronizing Mode of Operation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/014},
      year = {2003},
      url = {https://eprint.iacr.org/2003/014}
}
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