Information on Result #735650
Linear OA(12875, 2097349, F128, 21) (dual of [2097349, 2097274, 22]-code), using (u, u+v)-construction based on
- linear OA(12814, 194, F128, 10) (dual of [194, 180, 11]-code), using
- construction X applied to AG(F,180P) ⊂ AG(F,182P) [i] based on
- linear OA(12813, 191, F128, 10) (dual of [191, 178, 11]-code), using algebraic-geometric code AG(F,180P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12811, 191, F128, 8) (dual of [191, 180, 9]-code), using algebraic-geometric code AG(F,182P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (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,180P) ⊂ AG(F,182P) [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.