Information on Result #693046
Linear OA(1653, 99, F16, 30) (dual of [99, 46, 31]-code), using construction X applied to Ce(29) ⊂ Ce(23) based on
- linear OA(1648, 86, F16, 30) (dual of [86, 38, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(165, 13, F16, 5) (dual of [13, 8, 6]-code or 13-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), 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.