Information on Result #667923
Linear OA(32103, 1114, F32, 37) (dual of [1114, 1011, 38]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(3213, 44, F32, 12) (dual of [44, 31, 13]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3220, 46, F32, 18) (dual of [46, 26, 19]-code), using
- construction X applied to AG(F,24P) ⊂ AG(F,26P) [i] based on
- linear OA(3219, 43, F32, 18) (dual of [43, 24, 19]-code), using algebraic-geometric code AG(F,24P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OA(3217, 43, F32, 16) (dual of [43, 26, 17]-code), using algebraic-geometric code AG(F,26P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,24P) ⊂ AG(F,26P) [i] based on
- linear OA(3270, 1024, F32, 37) (dual of [1024, 954, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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.