Caps and progression-free sets in Zmn

Christian Elsholtz; Péter Pál Pach

doi:10.1007/s10623-020-00769-0

Caps and progression-free sets in Zmn

Christian Elsholtz^*, Péter Pál Pach

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

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

Abstract

We study progression-free sets in the abelian groups G=(Zmn,+).

Translated title of the contribution	.: .
Original language	English
Pages (from-to)	2133-2170
Number of pages	38
Journal	Designs, Codes, and Cryptography
Volume	88
Issue number	10
DOIs	https://doi.org/10.1007/s10623-020-00769-0
Publication status	Published - 1 Oct 2020

Keywords

Finite field; Block cipher
Permutation polynomial
Triple-cycle permutation

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics
Algebra and Number Theory
Discrete Mathematics and Combinatorics

Fields of Expertise

Information, Communication & Computing

Access to Document

10.1007/s10623-020-00769-0Licence: CC BY 4.0

Cite this

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title = "Caps and progression-free sets in Zmn",

abstract = "We study progression-free sets in the abelian groups G=(Zmn,+).",

keywords = "Finite field; Block cipher, Permutation polynomial, Triple-cycle permutation, caps",

author = "Christian Elsholtz and Pach, {P{\'e}ter P{\'a}l}",

year = "2020",

month = oct,

day = "1",

doi = "10.1007/s10623-020-00769-0",

language = "English",

volume = "88",

pages = "2133--2170",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Science+Business Media B.V ",

number = "10",

}

TY - JOUR

T1 - Caps and progression-free sets in Zmn

AU - Elsholtz, Christian

AU - Pach, Péter Pál

PY - 2020/10/1

Y1 - 2020/10/1

N2 - We study progression-free sets in the abelian groups G=(Zmn,+).

AB - We study progression-free sets in the abelian groups G=(Zmn,+).

KW - Finite field; Block cipher

KW - Permutation polynomial

KW - Triple-cycle permutation

KW - caps

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U2 - 10.1007/s10623-020-00769-0

DO - 10.1007/s10623-020-00769-0

M3 - Article

AN - SCOPUS:85086666330

SN - 0925-1022

VL - 88

SP - 2133

EP - 2170

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 10

ER -

Caps and progression-free sets in Zmn

Abstract

Keywords

ASJC Scopus subject areas

Fields of Expertise

Access to Document

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