Information on Result #697839
Linear OA(32109, 1090, F32, 44) (dual of [1090, 981, 45]-code), using construction X applied to Ce(43) ⊂ Ce(21) based on
- linear OA(3284, 1024, F32, 44) (dual of [1024, 940, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3243, 1024, F32, 22) (dual of [1024, 981, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3225, 66, F32, 21) (dual of [66, 41, 22]-code), using
- construction X applied to AG(F,41P) ⊂ AG(F,43P) [i] based on
- linear OA(3224, 63, F32, 21) (dual of [63, 39, 22]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3222, 63, F32, 19) (dual of [63, 41, 20]-code), using algebraic-geometric code AG(F,43P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (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,41P) ⊂ AG(F,43P) [i] based on
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.