Information on Result #692567
Linear OA(16128, 284, F16, 69) (dual of [284, 156, 70]-code), using construction X applied to C([0,34]) ⊂ C([0,27]) based on
- linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
- linear OA(16101, 257, F16, 55) (dual of [257, 156, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- linear OA(1615, 27, F16, 13) (dual of [27, 12, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1615, 33, F16, 13) (dual of [33, 18, 14]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1615, 33, F16, 13) (dual of [33, 18, 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.