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Nonbinary incidence codes of (n,n-1,j)-poset

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강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.06|한국수학논문집 (Korean Journal of Mathematics)|제17권 제2호|pp. 169-179

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키워드

(nn-1j)-posetnonbinary incidence codes
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초록

Let P be a (n,n-1,j)-poset, which is a partially ordered set of cardinality n with n-1 maximal elements and j(1 ≤ j ≤ n-1) minimal elements, and P* the dual poset of P. In this paper, we obtain two types of incidence codes of nonempty proper subset S of P and P*, respectively, by using Bogart's method [1] (see Theorem 3.3).

Abstract

Let P be a (n,n-1,j)-poset, which is a partially ordered set of cardinality n with n-1 maximal elements and j(1 ≤ j ≤ n-1) minimal elements, and P* the dual poset of P. In this paper, we obtain two types of incidence codes of nonempty proper subset S of P and P*, respectively, by using Bogart's method [1] (see Theorem 3.3).

참고문헌 (3)

  1. K. P. Bogart, "Incidence codes of posets: Eulerian posets and Reed-Muller codes", Discrete Math, 31, pp.1~7 (1980)
  2. R. A. Brualdi, "Codes with a poset metric", Discrete Math, 147, pp.57~72 (1995)
  3. Y. Jang, "On a MacWilliams type identity and a perfectness for a binary linear (n; n ¡ 1; j)-poset code", Discrete Math, 265, pp.85~104 (2003)

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