Information on Result #1827780
OOA(32106, 1048599, S32, 2, 23), using OOA 2-folding based on OA(32106, 2097198, S32, 23), using
- discarding factors based on OA(32106, 2097199, S32, 23), using
- (u, u+v)-construction [i] based on
- linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- OA(3294, 2097155, S32, 23), using
- discarding parts of the base [i] based on linear OA(12867, 2097155, F128, 23) (dual of [2097155, 2097088, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding parts of the base [i] based on linear OA(12867, 2097155, F128, 23) (dual of [2097155, 2097088, 24]-code), using
- linear OA(3212, 44, F32, 11) (dual of [44, 32, 12]-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive.
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.