Information on Result #735814
Linear OA(12842, 2097307, F128, 12) (dual of [2097307, 2097265, 13]-code), using (u, u+v)-construction based on
- linear OA(1288, 152, F128, 6) (dual of [152, 144, 7]-code), using
- construction X applied to AG(F,142P) ⊂ AG(F,144P) [i] based on
- linear OA(1287, 149, F128, 6) (dual of [149, 142, 7]-code), using algebraic-geometric code AG(F,142P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1285, 149, F128, 4) (dual of [149, 144, 5]-code), using algebraic-geometric code AG(F,144P) [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,142P) ⊂ AG(F,144P) [i] based on
- linear OA(12834, 2097155, F128, 12) (dual of [2097155, 2097121, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [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.