Information on Result #671520
Linear OA(25666, 65561, F256, 23) (dual of [65561, 65495, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(2564, 6, F256, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- linear OA(2565, 6, F256, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,256)), using
- dual of repetition code with length 6 [i]
- linear OA(2566, 6, F256, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,256)), using
- linear OA(2566, 6, F256, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,256)) (see above)
- linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, 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.