Information on Result #695523
Linear OA(27107, 780, F27, 45) (dual of [780, 673, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,14]) based on
- linear OA(2789, 730, F27, 45) (dual of [730, 641, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(2718, 50, F27, 15) (dual of [50, 32, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2718, 52, F27, 15) (dual of [52, 34, 16]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2718, 52, F27, 15) (dual of [52, 34, 16]-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.