Information on Result #670640
Linear OA(12839, 16399, F128, 14) (dual of [16399, 16360, 15]-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(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.