Information on Result #670600
Linear OA(12878, 16413, F128, 27) (dual of [16413, 16335, 28]-code), using generalized (u, u+v)-construction based on
- linear OA(1285, 7, F128, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- linear OA(1286, 7, F128, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,128)), using
- dual of repetition code with length 7 [i]
- linear OA(1287, 7, F128, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,128)), using
- linear OA(1287, 7, F128, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,128)) (see above)
- linear OA(12853, 16385, F128, 27) (dual of [16385, 16332, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.