Information on Result #735716
Linear OA(12863, 2097307, F128, 18) (dual of [2097307, 2097244, 19]-code), using (u, u+v)-construction based on
- linear OA(12811, 152, F128, 9) (dual of [152, 141, 10]-code), using
- construction X applied to AG(F,139P) ⊂ AG(F,141P) [i] based on
- linear OA(12810, 149, F128, 9) (dual of [149, 139, 10]-code), using algebraic-geometric code AG(F,139P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1288, 149, F128, 7) (dual of [149, 141, 8]-code), using algebraic-geometric code AG(F,141P) [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,139P) ⊂ AG(F,141P) [i] based on
- linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [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.