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  • 2010
  • Article
  • SIAM Journal on Discrete Mathematics

On the Classification of Type II Codes of Length 24

By: Noam D. Elkies and Scott Duke 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.

Keywords

Mathematical Methods

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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About The Author

Scott Duke Kominers

Entrepreneurial Management
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