Information on Result #1822016
OA(2794, 19809, S27, 25), using (u, u+v)-construction based on
- OA(2720, 118, S27, 12), using
- discarding parts of the base [i] based on linear OA(8115, 118, F81, 12) (dual of [118, 103, 13]-code), using
- construction X applied to AG(F,102P) ⊂ AG(F,104P) [i] based on
- linear OA(8114, 115, F81, 12) (dual of [115, 101, 13]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8112, 115, F81, 10) (dual of [115, 103, 11]-code), using algebraic-geometric code AG(F,104P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,102P) ⊂ AG(F,104P) [i] based on
- discarding parts of the base [i] based on linear OA(8115, 118, F81, 12) (dual of [118, 103, 13]-code), using
- linear OA(2774, 19691, F27, 25) (dual of [19691, 19617, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(2773, 19684, F27, 25) (dual of [19684, 19611, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2767, 19684, F27, 23) (dual of [19684, 19617, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,12]) ⊂ C([0,11]) [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.