Information on Result #693042
Linear OA(1643, 95, F16, 24) (dual of [95, 52, 25]-code), using construction X applied to Ce(23) ⊂ Ce(19) based on
- linear OA(1640, 86, F16, 24) (dual of [86, 46, 25]-code), using an extension Ce(23) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1634, 86, F16, 20) (dual of [86, 52, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(163, 9, F16, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,16) or 9-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
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.