학술저널
SELF-DUAL CODES AND ANTIORTHOGONAL MATRICES OVER GALOIS RINGS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 31, No. 2
-
2018.051 - 12 (12 pages)
- 8
Abstract. We study self-dual codes over Galois rings using the building-up construction method. In the construction, the existence of an antiorthogonal matrix is very important. In this study, we examine the existence problem of an antiorthogonal matrix over Galois rings.
1. Introduction
2. Preliminaries
3. On the problem of the existence of antiorthogonal matrices over GR(p m , r)
4. Examples
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