Information on Result #691939
Linear OA(16115, 4133, F16, 37) (dual of [4133, 4018, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,13]) based on
- linear OA(16103, 4097, F16, 37) (dual of [4097, 3994, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(1679, 4097, F16, 27) (dual of [4097, 4018, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(1612, 36, F16, 9) (dual of [36, 24, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 38, F16, 9) (dual of [38, 26, 10]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1612, 38, F16, 9) (dual of [38, 26, 10]-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.