Information on Result #664595
Linear OA(1678, 1048591, F16, 14) (dual of [1048591, 1048513, 15]-code), using generalized (u, u+v)-construction based on
- linear OA(163, 5, F16, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,16) or 5-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- linear OA(164, 5, F16, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,16)), using
- dual of repetition code with length 5 [i]
- linear OA(165, 5, F16, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,16)), using
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, 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.