Improvement on Bit Diffusion Analysis of π-Cipher

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Date

2017

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De Gruyter Open Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

π-Cipher, designed by Gligoroski et al., is a second round candidate of the CAESAR competition. The designers analyzed the bit diffusion of the cipher by examining the ∗ operation and 1 round π-function. We improve this analysis by applying Strict Avalanche Criterion (SAC) test to ∗ operation and reduced round versions of π-function for π 16-Cipher. We found out that ∗ operation fails SAC test whereas all versions of π-function for π 16-Cipher pass the test. © 2017 Mathematical Institute, Slovak Academy of Sciences.

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Keywords

bit diffusion analysis, Strict Avalanche Criterion (SSAC) test, The CAESAR competition, π-Cipher

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0

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Q3

Source

Tatra Mountains Mathematical Publications

Volume

70

Issue

1

Start Page

139

End Page

149

URI

https://doi.org/10.1515/tmmp-2017-0023
 https://hdl.handle.net/20.500.14411/3830

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Scopus