Masaaki Harada, Akihiro Munemasa
Published 2015-09-12Version 1
It is shown that there is a unique self-dual [20,10,9] code C over GF(7) such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D_{20}^+, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.
On the classification of self-dual $\mathbb{Z}_k$-codes II
Classification of quaternary Hermitian self-dual codes of length 20
There exists no self-dual [24,12,10] code over F5
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