Information on Result #663457
Linear OA(8120, 32790, F8, 23) (dual of [32790, 32670, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)), using
- linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)) (see above)
- linear OA(8101, 32769, F8, 23) (dual of [32769, 32668, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.