CODES OVER HYPERFIELDS

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 2

Abstract

In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices. We also demonstrate that codes over finite Krasner hyperfields are more interesting for code theory than codes over classical finite fields.

Authors and Affiliations

Selestin Ndjeya, Lutz Strungmann, Celestin Lele, Surdive Atamewoue Tsafack

Keywords

Related Articles

Relative determinant of a bilinear module

The aim of the paper is to generalize the (ultra-classical) notion of the determinant of a bilinear form to the class of bilinear forms on projective modules without assuming that the determinant bundle of the module is...

Intervals of certain classes of Z-matrices

Let A and B be M-matrices satisfying A ≤ B and J = [A, B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible Mmatr...

Completely Archimedean Semirings

In this paper we give a structural description of completely Archimedean semirings which is an extension of the structure theorem of completely Archimedean semigroups.

ON THE AUTOTOPISM GROUP OF THE CORDERO-FIGUEROA SEMIFIELD OF ORDER 3^6

In [5] M. Biliotti, V. Jha and N. Johnson were able to completely determine the autotopism group of a generalized twisted field as a subgroup of ΓL(K) × ΓL(K), where K = GF(p^n) and ΓL(K) is the group of nonsingular semi...

A NOTE ON ADDITIVE GROUPS OF SOME SPECIFIC TORSION-FREE RINGS OF RANK THREE AND MIXED ASSOCIATIVE RINGS

It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free A...

Download PDF file
  • EP ID EP304562
  • DOI -
  • Views 26
  • Downloads 0

How To Cite

Selestin Ndjeya, Lutz Strungmann, Celestin Lele, Surdive Atamewoue Tsafack (2017). CODES OVER HYPERFIELDS. Discussiones Mathematicae - General Algebra and Applications, 37(2), -. https://europub.co.uk/articles/-A-304562