Information on Result #670084
Linear OA(8164, 531460, F81, 17) (dual of [531460, 531396, 18]-code), using generalized (u, u+v)-construction based on
- linear OA(814, 6, F81, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- linear OA(815, 6, F81, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,81)), using
- dual of repetition code with length 6 [i]
- linear OA(816, 6, F81, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,81)), using
- linear OA(8149, 531442, F81, 17) (dual of [531442, 531393, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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.