Information on Result #695518
Linear OA(2784, 773, F27, 35) (dual of [773, 689, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,10]) based on
- linear OA(2769, 730, F27, 35) (dual of [730, 661, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(2741, 730, F27, 21) (dual of [730, 689, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2715, 43, F27, 13) (dual of [43, 28, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 48, F27, 13) (dual of [48, 33, 14]-code), using
- extended algebraic-geometric code AGe(F,34P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2715, 48, F27, 13) (dual of [48, 33, 14]-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.