[Resource Topic] 2003/014: Hiji-bij-bij: A New Stream Cipher with a Self-Synchronizing Mode of Operation

Welcome to the resource topic for 2003/014

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

Authors: 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.

ePrint: https://eprint.iacr.org/2003/014

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