排序方式: 共有21条查询结果,搜索用时 109 毫秒
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Finite Projective Geometries and Classification of the Weight Hierarchies of Codes (Ⅰ) 总被引:1,自引:0,他引:1
WenDeCHEN TorleivKLφVE 《数学学报(英文版)》2004,20(2):333-348
The weight hierarchy of a binary linear [n,κ] code C is the sequence (d1,d2,...,dκ), where dr is the smallest support of an r-dimensional subcode of C. The codes of dimension 4 are collected in classes and the possible weight hierarchies in each class is determined by finite projective geometries.The possible weight hierarchies in class A, B, C, D are determined in Part (Ⅰ). The possible weight hierarchies in class E, F, G, H, I are determined in Part (Ⅱ). 相似文献
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Tor Helleseth Torleiv Kløve Vladimir I. Levenshtein 《Designs, Codes and Cryptography》2003,28(3):265-282
An ordered orthogonal array OOA(, k, n) is a binary 2
k
× n matrix with the property that for each complete -set of columns, each possible -tuple occurs in exactly 2
k– rows of those columns (for definition of a complete -set, see below). Constructions of OOA(, k, n) for = 4 and = 5 are given. 相似文献
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Torleiv Kløve 《Discrete Mathematics》1981,36(1):33-48
We study classes of solutions to the modular n-queen problem. The main part of the paper is concerned with symmetric solutions (solutions invariant under 90° rotation). In the last section we study maximal partial solutions for those values of n for which no solutions exist. 相似文献
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We study the weight distribution of irreducible cyclic (n, k) codeswith block lengths n = n1((q1 ? 1)/N), where N|q ? 1, gcd(n1,N) = 1, and gcd(l,N) = 1. We present the weight enumerator polynomial, A(z), when k = n1l, k = (n1 ? 1)l, and k = 2l. We also show how to find A(z) in general by studying the generator matrix of an (n1, m) linear code, over GF(qd) where d = gcd (ordn1(q), l). Specifically we study A(z) when is a maximum distance separable code, a maximal shiftregister code, and a semiprimitive code. We tabulate some numbers Aμ which completely determine the weight distributionof any irreducible cyclic (n1(21 ? 1), k) code over GF(2) for all n1 ? 17. 相似文献
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The Welch lower bound on the total-squared-correlation (TSC) of binary signature sets is loose for binary signature sets whose length L is not a multiple of 4. Recently Karystinos and Pados [6,7] developed new bounds that are better than the Welch bound in those cases, and showed how to achieve the bounds with modified Hadamard matrices except in a couple of cases. In this paper, we study the open cases. 相似文献
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Torleiv Kløve 《Discrete Mathematics》1977,19(3):289-291
We show that the modular n-queen problem has a solution if and only if gcd(n, 6) = 1. We give a class of solutions for all these n. 相似文献
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Torleiv Kløve 《BIT Numerical Mathematics》1975,15(4):423-425
This paper describes some computations and conjectures concerning the representation of integers as sums of powers. 相似文献