Information on Result #670078
Linear OA(8153, 6580, F81, 19) (dual of [6580, 6527, 20]-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(816, 6, F81, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,81)), using
- linear OA(816, 6, F81, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,81)) (see above)
- linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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.