Linear structures of symmetric functions over finite fields

Yuan Li; T. W. Cusick

doi:10.1016/j.ipl.2005.06.010

Linear structures of symmetric functions over finite fields

Yuan Li
, T. W. Cusick

Mathematics

Alcorn State University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

It is shown that nonlinear symmetric functions over finite fields GF(p) have no linear structures other than equal component vectors.

Original language	English
Pages (from-to)	124-127
Number of pages	4
Journal	Information Processing Letters
Volume	97
Issue number	3
DOIs	https://doi.org/10.1016/j.ipl.2005.06.010
State	Published - Feb 14 2006

Keywords

Boolean function
Cryptography
Finite field
Linear structure
Symmetric polynomial
Walsh transform

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10.1016/j.ipl.2005.06.010

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title = "Linear structures of symmetric functions over finite fields",

abstract = "It is shown that nonlinear symmetric functions over finite fields GF(p) have no linear structures other than equal component vectors.",

keywords = "Boolean function, Cryptography, Finite field, Linear structure, Symmetric polynomial, Walsh transform",

author = "Yuan Li and Cusick, \{T. W.\}",

year = "2006",

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doi = "10.1016/j.ipl.2005.06.010",

language = "English",

volume = "97",

pages = "124--127",

journal = "Information Processing Letters",

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AU - Li, Yuan

AU - Cusick, T. W.

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N2 - It is shown that nonlinear symmetric functions over finite fields GF(p) have no linear structures other than equal component vectors.

AB - It is shown that nonlinear symmetric functions over finite fields GF(p) have no linear structures other than equal component vectors.

KW - Boolean function

KW - Cryptography

KW - Finite field

KW - Linear structure

KW - Symmetric polynomial

KW - Walsh transform

UR - https://www.scopus.com/pages/publications/29144486768

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DO - 10.1016/j.ipl.2005.06.010

M3 - Article

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VL - 97

SP - 124

EP - 127

JO - Information Processing Letters

JF - Information Processing Letters

IS - 3

ER -

Linear structures of symmetric functions over finite fields

Abstract

Keywords

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