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On the classification of self-dual [20,10,9] codes over GF(7)

It is shown that the extended quadratic residue code of length 20 over GF(7) is a unique self-dual [20,10,9] code C 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.

preprint2016arXivOpen access
Masaaki HaradaAkihiro Munemasa
math.CO
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Masaaki HaradaAkihiro Munemasa

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