A unified analysis for the fast correlation attack

M.P.C. Fossorier, Miodrag J. Mihaljević, Hirotaka Imai · 2005

In this paper, a general framework which enables to compare previously proposed approaches for the fast correlation attacks is developed. All attacks are based on decoding using a set of parity check sums of an underlying linear code. The purpose of this paper is two-fold: (a) to provide a simple close form estimate about the number of check sums of a particular structure necessary for the corresponding attack to succeed; (b) to illustrate how such estimates are useful in minimizing the computational complexity of each attack considered, and consequently, in establishing a unified framework for comparison

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