On the Classification of Type II Codes of Length 24

Details On the Classification of Type II Codes of Length 24 On the Classification of Type II Codes of Length 24

2009-02-11

arxiv.org/abs/0902.1942v2

SIAM Journal on Discrete Mathematics 23(4), (2010), 2173-2177

Mathematics

Number Theory

5 pages; v2: fixed minor typos

Scientific paper

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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