New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ’s conjecture

New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ’s... In this paper we provide new families of balanced symmetric functions over any finite field. We also generalize a conjecture of Cusick, Li, and Stǎnicǎ about the non-balancedness of elementary symmetric Boolean functions to any finite field and prove part of our conjecture. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Designs, Codes and Cryptography Springer Journals

New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ’s conjecture

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media New York
Subject
Mathematics; Combinatorics; Coding and Information Theory; Data Structures, Cryptology and Information Theory; Data Encryption; Discrete Mathematics in Computer Science; Information and Communication, Circuits
ISSN
0925-1022
eISSN
1573-7586
D.O.I.
10.1007/s10623-017-0351-7
Publisher site
See Article on Publisher Site

Abstract

In this paper we provide new families of balanced symmetric functions over any finite field. We also generalize a conjecture of Cusick, Li, and Stǎnicǎ about the non-balancedness of elementary symmetric Boolean functions to any finite field and prove part of our conjecture.

Journal

Designs, Codes and CryptographySpringer Journals

Published: Mar 11, 2017

References

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