Sets of mutually orthogonal Sudoku frequency squares

John T. Ethier; Gary Lee Mullen

doi:10.1007/s10623-018-0487-0

Sets of mutually orthogonal Sudoku frequency squares

John T. Ethier
, Gary Lee Mullen

Mathematics

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

5 Scopus citations

Abstract

We discuss sets of mutually orthogonal frequency Sudoku squares. In particular, we provide upper bounds for the maximum number of such mutually orthogonal squares. In addition, we provide constructions for sets of such squares. We also briefly discuss an extension of these ideas to sets of higher dimensional mutually orthogonal frequency hypercubes.

Original language	English (US)
Pages (from-to)	57-65
Number of pages	9
Journal	Designs, Codes, and Cryptography
Volume	87
Issue number	1
DOIs	https://doi.org/10.1007/s10623-018-0487-0
State	Published - Jan 15 2019

All Science Journal Classification (ASJC) codes

Computer Science Applications
Applied Mathematics

Access to Document

10.1007/s10623-018-0487-0

Cite this

@article{91ce457a47fb463a80ca5dd1c91ba59d,

title = "Sets of mutually orthogonal Sudoku frequency squares",

abstract = "We discuss sets of mutually orthogonal frequency Sudoku squares. In particular, we provide upper bounds for the maximum number of such mutually orthogonal squares. In addition, we provide constructions for sets of such squares. We also briefly discuss an extension of these ideas to sets of higher dimensional mutually orthogonal frequency hypercubes.",

author = "Ethier, \{John T.\} and Mullen, \{Gary Lee\}",

year = "2019",

month = jan,

day = "15",

doi = "10.1007/s10623-018-0487-0",

language = "English (US)",

volume = "87",

pages = "57--65",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Sets of mutually orthogonal Sudoku frequency squares

AU - Ethier, John T.

AU - Mullen, Gary Lee

PY - 2019/1/15

Y1 - 2019/1/15

N2 - We discuss sets of mutually orthogonal frequency Sudoku squares. In particular, we provide upper bounds for the maximum number of such mutually orthogonal squares. In addition, we provide constructions for sets of such squares. We also briefly discuss an extension of these ideas to sets of higher dimensional mutually orthogonal frequency hypercubes.

AB - We discuss sets of mutually orthogonal frequency Sudoku squares. In particular, we provide upper bounds for the maximum number of such mutually orthogonal squares. In addition, we provide constructions for sets of such squares. We also briefly discuss an extension of these ideas to sets of higher dimensional mutually orthogonal frequency hypercubes.

UR - https://www.scopus.com/pages/publications/85045854527

UR - https://www.scopus.com/pages/publications/85045854527#tab=citedBy

U2 - 10.1007/s10623-018-0487-0

DO - 10.1007/s10623-018-0487-0

M3 - Article

AN - SCOPUS:85045854527

SN - 0925-1022

VL - 87

SP - 57

EP - 65

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 1

ER -

Sets of mutually orthogonal Sudoku frequency squares

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this