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Replacement and Structure of S-Boxes in Rijndael

Authors: De Wang; Shi-Liang Sun;

Replacement and Structure of S-Boxes in Rijndael

Abstract

This paper describes the designation and structure of S-boxes which are the fundament of the Rijndael algorithm and finds the optimization of them using four kinds of testing methods. Firstly, it constructs different S-boxes by Matlab using 30 irreducible polynomials the maximum power of which is eight in a finite field. Through taking their performance analysis, we find that they have the similar performances in differential testing and linear or correlation testing. But in avalanche testing and Boolean expressions testing, the S-boxes which are constructed by No. 9 and No. 18 irreducible polynomial are optimal structure respectively.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
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