Information on Result #695537
Linear OA(27106, 787, F27, 43) (dual of [787, 681, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,12]) 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(2749, 730, F27, 25) (dual of [730, 681, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2721, 57, F27, 17) (dual of [57, 36, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, 64, F27, 17) (dual of [64, 43, 18]-code), using
- extended algebraic-geometric code AGe(F,46P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2721, 64, F27, 17) (dual of [64, 43, 18]-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.