An updated table of binary/ternary mixed covering codes | Zendy

Bertolo Riccardo | Zendy; Östergård Patric R. J. | Zendy; Weakley William D. | Zendy

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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.

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