Information on Result #671521
Linear OA(25654, 65557, F256, 19) (dual of [65557, 65503, 20]-code), using generalized (u, u+v)-construction based on
- linear OA(2563, 5, F256, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,256) or 5-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- linear OA(2564, 5, F256, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,256)), using
- dual of repetition code with length 5 [i]
- linear OA(2565, 5, F256, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,256)), using
- linear OA(2565, 5, F256, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,256)) (see above)
- linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, 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.