Information on Result #695526
Linear OA(27103, 780, F27, 43) (dual of [780, 677, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,13]) based on
- linear OA(2785, 730, F27, 43) (dual of [730, 645, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(2753, 730, F27, 27) (dual of [730, 677, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.