Information on Result #670605
Linear OA(12872, 2097173, F128, 19) (dual of [2097173, 2097101, 20]-code), using generalized (u, u+v)-construction based on
- linear OA(1283, 5, F128, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,128) or 5-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- linear OA(1284, 5, F128, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,128)), using
- dual of repetition code with length 5 [i]
- linear OA(1285, 5, F128, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,128)), using
- linear OA(1285, 5, F128, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,128)) (see above)
- linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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.