A [45, 13] Code With Minimal Distance 16.
01 January 1990
A record binary code of length 45, dimension 13 and minimal distance 16 is constructed in several ways; as an Abelian code (an ideal in the regular representation of C sub 3 x C sub (15)), from a [15, 6, 8] cyclic code over GF(4), and from the | a+x | b+x | c+x | construction. Its automorphism group has order 360, and its even subcode is a [45, 12, 16] code with only four nonzero weights.