Information on Result #670065
Linear OA(8175, 6586, F81, 27) (dual of [6586, 6511, 28]-code), using generalized (u, u+v)-construction based on
- linear OA(816, 8, F81, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- linear OA(818, 8, F81, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,81)), using
- linear OA(818, 8, F81, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,81)) (see above)
- linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.