p-ary Codes Associated with Special Linear Groups
- 주제(키워드) p-ary Codes Associated with Special Linear Groups , p-ary Codes , Special Linear Group
- 발행기관 서강대학교 일반대학원
- 지도교수 김대산
- 발행년도 2009
- 학위수여년월 2009. 2
- 학위명 석사
- 실제URI http://www.dcollection.net/handler/sogang/000000044813
- 본문언어 한국어
초록/요약
In this paper, we construct the p-ary linear codes C(SL(n,p)) associated with finite special linear groups SL(n,p), with p any prime and n any power of p. We first show that every nonzero codeword in the dual of C(SL(n,p)) has an explicit fixed weight. Then, by using this fact and via Pless power moment identity, we obtain a recursive formula giving the weight distribution of the codes. And we compute, by using Theorem 6 and Mathematica, the frequencies C_{i} of weights in C(SL(n,p)).
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