Information on Result #695006
Linear OA(27110, 19715, F27, 34) (dual of [19715, 19605, 35]-code), using construction X applied to C([0,17]) ⊂ C([0,13]) based on
- linear OA(27103, 19684, F27, 35) (dual of [19684, 19581, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(277, 31, F27, 6) (dual of [31, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-code), using
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.