Information on Result #670738
Linear OA(12861, 16403, F128, 23) (dual of [16403, 16342, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1287, 9, F128, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- linear OA(1289, 9, F128, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,128)), using
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
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.