RESULTS ON THE EULER-SEIDEL MATRIX

TUTAŞ N.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, vol.38, no.5, pp.431-456, 2016 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 5
  • Publication Date: 2016
  • Doi Number: 10.17654/nt038050431
  • Journal Name: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.431-456
  • Keywords: Euler-Seidel matrix, cyclic code, NUMBERS
  • Akdeniz University Affiliated: Yes

Abstract

We analyze the behavior of an Euler-Seidel matrix whose initial sequence is periodic or a linearly recurring sequence over a finite field F-pm and a finite ring Z(n). Additionally, we give a connection between Euler-Seidel matrices and cyclic codes over a finite field.