You are looking at a specific version 20060724:095658 of this paper. See the latest version.

Paper 2006/249

Enumeration of 9-variable Rotation Symmetric Boolean Functions having Nonlinearity > 240

Selcuk Kavut and Subhamoy Maitra and Sumanta Sarkar and Melek D. Yucel

Abstract

The existence of $9$-variable Boolean functions having nonlinearity strictly greater than $240$ has been shown very recently (May 2006) by Kavut, Maitra and Yücel. The functions with nonlinearity 241 have been identified by a heuristic search in the class of Rotation Symmetric Boolean Functions (RSBFs). In this paper we efficiently perform the exhaustive search to enumerate the 9-variable RSBFs having nonlinearity $> 240$ and found that there are such functions with nonlinearity 241 only and there is no RSBF having nonlinearity $> 241$. Our search enumerates $8 \times 189$ many 9-variable RSBFs having nonlinearity 241. We further show that there are only two functions which are different up to the affine equivalence. Towards the end we explain the coding theoretic significance of these functions.

Metadata
Available format(s)
PDF PS
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Boolean Functions
Contact author(s)
subho @ isical ac in
History
2006-07-24: received
Short URL
https://ia.cr/2006/249
License
Creative Commons Attribution
CC BY
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.