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An updated table of binary/ternary mixed covering codes
Author(s) -
Bertolo Riccardo,
Östergård Patric R. J.,
Weakley William D.
Publication year - 2004
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20008
Subject(s) - ternary operation , mathematics , cardinality (data modeling) , combinatorics , binary number , table (database) , radius , code (set theory) , binary code , discrete mathematics , arithmetic , computer science , database , set (abstract data type) , computer security , programming language
An updated table of K 2,3 ( b , t ; R )—the minimum cardinality of a code with b binary coordinates, t ternary coordinates, and covering radius R —is presented for b + t ≤ 13, R ≤ 3. The results include new explanations of short binary and ternary covering codes, several new constructions and codes, and a general lower bound for R = 1. © 2004 Wiley Periodicals, Inc.