MDS SELF-DUAL CODES OVER GALOIS RINGS WITH EVEN CHARACTERISTIC

• 영문명: MDS SELF-DUAL CODES OVER GALOIS RINGS WITH EVEN CHARACTERISTIC
• 발행기관: 충청수학회
• 저자명: 한성휴(Sunghyu Han)
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 36, No. 3, 181~194쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2023.08.31

영문 초록

Let GR(2m, r) be a Galois ring with even characteris-tic. We are interested in the existence of MDS(Maximum DistanceSeparable) self-dual codes over GR(2m, r). In this paper, we provethat there exists an MDS self-dual code over GR(2m, r) with pa-rameters [n, n/2, n/2 + 1] if (n − 1) | (2r − 1) and 8 | n.

목차

1. Introduction

2. Preliminaries

3. Main results

4. Summary

References

키워드

Galois ring MDS code self-dual code