Information on Result #670680
Linear OA(12877, 16407, F128, 29) (dual of [16407, 16330, 30]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1289, 11, F128, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- linear OA(12811, 11, F128, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,128)), using
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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.