Information on Result #693048
Linear OA(1661, 101, F16, 36) (dual of [101, 40, 37]-code), using construction X applied to Ce(35) ⊂ Ce(28) based on
- linear OA(1655, 86, F16, 36) (dual of [86, 31, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1646, 86, F16, 29) (dual of [86, 40, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(166, 15, F16, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), 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.