A Comment on Algebraic Immunity of the Sum of Two Boolean Functions

Longjiang QU; Shaojing FU; Chunqing WU

doi:10.1587/transfun.E95.A.1187

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

A Comment on Algebraic Immunity of the Sum of Two Boolean Functions

Longjiang QU, Shaojing FU, Chunqing WU

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Keywords: Boolean function, sum, algebraic immunity

JOURNAL RESTRICTED ACCESS

2012 Volume E95.A Issue 7 Pages 1187-1188

DOI https://doi.org/10.1587/transfun.E95.A.1187

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Abstract

In this comment, an inequality of algebraic immunity of the sum of two Boolean functions is pointed out to be generally incorrect. Then we present some results on how to impose conditions such that the inequality is true. Finally, complete proofs of two existing results are given.

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