On designs and formally self-dual codes
Designs, Codes and Cryptography
Classification of Extremal Double Circulant Formally Self-DualEven Codes
Designs, Codes and Cryptography
On Harmonic Weight Enumerators of Binary Codes
Designs, Codes and Cryptography
On the Classification of Extremal Even Formally Self-DualCodes
Designs, Codes and Cryptography
Binary Optimal Odd Formally Self-Dual Codes
Designs, Codes and Cryptography
The Existence of a Self-Dual [70, 35, 12] Code and Formally Self-Dual Codes
Finite Fields and Their Applications
Near-Extremal Formally Self-Dual Even Codes of Lengths 24 and 32
Designs, Codes and Cryptography
Binary formally self-dual odd codes
Designs, Codes and Cryptography
A note on formally self-dual even codes of length divisible by 8
Finite Fields and Their Applications
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
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In this note, we give the complete classification of binary formally self-dual even codes of lengths 10, 12, 14 and 16. There are exactly fourteen, 29, 99 and 914 inequivalent such codes of lengths 10, 12, 14 and 16, respectively. This completes the classification of formally self-dual even codes of lengths up to 16. The first example of formally self-dual even code with a trivial automorphism group is also found. This shows that 16 is the smallest length for which there is a formally self-dual even code with a trivial automorphism group.