New Extremal Type I Codes of Lengths 40, 42, and 44
Designs, Codes and Cryptography
A method for efficiently computing the number of codewords of fixed weights in linear codes
Discrete Applied Mathematics
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
| Hi-index | 754.84 |
We construct extremal self-dual codes with lengths 44, 50, 54, and 58. They have weight enumerators for which extremal codes were previously not known to exist. Two methods are used for constructing the codes using self dual codes of same or smaller length. To obtain the codes we use a combinatorial optimization search