Information on Result #669926
Linear OA(6441, 4178, F64, 16) (dual of [4178, 4137, 17]-code), using (u, u+v)-construction based on
- linear OA(6410, 82, F64, 8) (dual of [82, 72, 9]-code), using
- construction X applied to AG(F,70P) ⊂ AG(F,72P) [i] based on
- linear OA(649, 79, F64, 8) (dual of [79, 70, 9]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(647, 79, F64, 6) (dual of [79, 72, 7]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,70P) ⊂ AG(F,72P) [i] based on
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.