The binary self-dual codes of length up to 32: a revised enumeration
Journal of Combinatorial Theory Series A
Designs, Graphs, Codes, and Their Links
Designs, Graphs, Codes, and Their Links
On Harmonic Weight Enumerators of Binary Codes
Designs, Codes and Cryptography
The mass of extremal doubly-even self-dual codes of length 40
IEEE Transactions on Information Theory
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We give a new, purely coding-theoretic proof of Koch's criterion on the tetrad systems of Type II codes of length 24 using the theory of harmonic weight enumerators. This approach is inspired by Venkov's approach to the classification of the root systems of Type II lattices in $\mathbb{R}^{24}$ and gives a new instance of the analogy between lattices and codes.