Information on Result #670642
Linear OA(12840, 2097165, F128, 11) (dual of [2097165, 2097125, 12]-code), using generalized (u, u+v)-construction based on
- linear OA(1282, 4, F128, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- linear OA(1283, 4, F128, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,128) or 4-cap in PG(2,128)), using
- dual of repetition code with length 4 [i]
- linear OA(1284, 4, F128, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,128)), using
- linear OA(12831, 2097153, F128, 11) (dual of [2097153, 2097122, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.