Information on Result #735648
Linear OA(12873, 2097307, F128, 21) (dual of [2097307, 2097234, 22]-code), using (u, u+v)-construction based on
- linear OA(12812, 152, F128, 10) (dual of [152, 140, 11]-code), using
- construction X applied to AG(F,138P) ⊂ AG(F,140P) [i] based on
- linear OA(12811, 149, F128, 10) (dual of [149, 138, 11]-code), using algebraic-geometric code AG(F,138P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1289, 149, F128, 8) (dual of [149, 140, 9]-code), using algebraic-geometric code AG(F,140P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,138P) ⊂ AG(F,140P) [i] based on
- linear OA(12861, 2097155, F128, 21) (dual of [2097155, 2097094, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(12861, 2097152, F128, 21) (dual of [2097152, 2097091, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(12858, 2097152, F128, 20) (dual of [2097152, 2097094, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [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.