Enumeration of isometry classes of linear (n,k) -codes over GF(q) in SYMMETRICA |
Bayreuther Mathematische Schriften 49, (1995), 215 - 223. ISSN 0172-1062
Abstract: Isometry classes of linear codes can be described as orbits of generator matrices, as it was shown by Slepian. The author demonstrates how they can be enumerated using cycle index polynomials and the tools already incorporated in SYMMETRICA, a computer algebra package devoted to representation theory and combinatorics of symmetric groups and of related classes of groups.
GDPR | Enumeration of isometry classes of linear (n,k) -codes over GF(q) in SYMMETRICA |