Designs and their codes
Discrete Mathematics - A collection of contributions in honour of Jack van Lint
On designs and formally self-dual codes
Designs, Codes and Cryptography
Optimal binary linear codes of length ≤ 30
Discrete Mathematics
On Harmonic Weight Enumerators of Binary Codes
Designs, Codes and Cryptography
Classification of Formally Self-Dual Even Codes of Lengths up to 16
Designs, Codes and Cryptography
Binary Optimal Odd Formally Self-Dual Codes
Designs, Codes and Cryptography
Self-dual Codes-Theme and Variations
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Support Weight Enumerators and Coset Weight Distributions of Isodual Codes
Designs, Codes and Cryptography
Formally self-dual additive codes over F4
Journal of Symbolic Computation
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
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Bachoc bachoc has recentlyintroduced harmonic polynomials for binary codes. Computing thesefor extremal even formally self-dual codes of length 12, shefound intersection numbers for such codes and showed that thereare exactly three inequivalent [12,6,4] even formally self-dualcodes, exactly one of which is self-dual. We prove a new theoremwhich gives a generator matrix for formally self-dual codes.Using the Bachoc polynomials we can obtain the intersection numbersfor extremal even formally self-dual codes of length 14. Thesesame numbers can also be obtained from the generator matrix.We show that there are precisely ten inequivalent [14,7,4] evenformally self-dual codes, only one of which is self-dual.