منابع مشابه
On Equidistant Constant Weight Codes
Equidistant constant weight codes are studied in this paper. The dual distance distribution of equidistant constant weight codes is investigated and used to obtain upper bounds on the size of such codes as well as equidistant codes in general. ? 2003 Elsevier Science B.V. All rights reserved.
متن کاملNew Ternary and Quaternary Equidistant Constant Weight Codes
We consider the problem of finding bounds on the size of ternary and quaternary equidistant constant weight codes. We present a computer realization of an algorithm for solving the maximum clique problem. We use it for finding the exact values of the maximum size for ternary and quaternary equidistant constant weight codes for all open cases for n ≤ 10 are found.
متن کاملNew Ternary and Quaternary Constant-Weight Equidistant Codes
Consider a finite set of q elements and containing a distinguished element ”zero”. The choice of a set does not matter in our context and we will use the set Zq of integers modulo q. Let Z q be the set of n-tuples (or vectors) over Zq and Z n,w q be the set of n-tuples over Zq of Hamming weight w. A code is called constant-weight if all the codewords have the same weight w. A code is called equ...
متن کاملLexicographic Constant-Weight Equidistant Codes over the Alphabet of Three, Four and Five Elements
In this paper we consider the problem of finding bounds on the size of lexicographic constant-weight equidistant codes over the alphabet of three, four and five elements with 2 ≤ w < n ≤ 10. Computer search of lexicographic constant-weight equidistant codes is performed. Tables with bounds on the size of lexicographic constant-weight equidistant codes are presented.
متن کاملOptimal Constant Weight Codes
A new class of binary constant weight codes is presented. We establish new lower bound and exact values on A(n, 2k, k + 1), in particular, A(30, 12, 7) = 9, A(48, 16, 9) = 11, A(51,16, 9) = 12, A(58, 18, 10) = 12. An ( ) w d n , , constant weight binary code is a code of length n , code distance d in which all code words have the same number of “ones” . The number of “ones” is w . We will denot...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2003
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(02)00442-0