On the Classification of Type II Codes of Length 24

Noam D. Elkies; Scott Duke Kominers

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Article | SIAM Journal on Discrete Mathematics | 2010

On the Classification of Type II Codes of Length 24

by Noam D. Elkies and Scott Duke Kominers

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.

Keywords: Mathematical Methods;

Format: Print

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Citation:

Elkies, Noam D., and Scott Duke Kominers. "On the Classification of Type II Codes of Length 24." SIAM Journal on Discrete Mathematics 23, no. 4 (2010).

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Scott Duke Kominers

MBA Class of 1960 Associate Professor of Business Administration

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On the Classification of Type II Codes of Length 24

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