an:02173306
Zbl 1088.94027
Harada, Masaaki; Kharaghani, Hadi
Orthogonal designs, self-dual codes, and the Leech lattice
EN
J. Comb. Des. 13, No. 3, 184-194 (2005).
00115717
2005
j
94B25 05B20
orthogonal design; self-dual code; the Leech lattice
The authors give a construction of an orthogonal matrix of order \(12n\). They use this array to construct orthogonal designs which in turn produce self-dual codes over finite fields of odd order. Following a suggestion of Ozeki, they use these self-dual codes to construct, via construction A, the odd Leech lattice. Self-dual codes that produce this lattice are given for a variety of primes less than 100.
Steven T. Dougherty (Scranton)