On the Classification of Type II Codes of Length 24

Noam D. Elkies; Scott D. Kominers

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arXiv · 0902.1942

On the Classification of Type II Codes of Length 24

Noam D. Elkies·Scott D. Kominers

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Abstract

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 R^{24}, and gives a new instance of the analogy between lattices and codes.

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Noam D. Elkies, Scott D. Kominers. 2009-02-11. On the Classification of Type II Codes of Length 24. https://arxiv.org/abs/0902.1942

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