Information on Result #695497
Linear OA(2793, 766, F27, 41) (dual of [766, 673, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,14]) based on
- linear OA(2781, 730, F27, 41) (dual of [730, 649, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2757, 730, F27, 29) (dual of [730, 673, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2712, 36, F27, 11) (dual of [36, 24, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2712, 38, F27, 11) (dual of [38, 26, 12]-code), using
- extended algebraic-geometric code AGe(F,26P) [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(2712, 38, F27, 11) (dual of [38, 26, 12]-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.