Information on Result #619756
Linear OA(2566, 259, F256, 5) (dual of [259, 253, 6]-code), using construction X applied to C([0,2]) ⊂ C([1,2]) based on
- linear OA(2565, 257, F256, 5) (dual of [257, 252, 6]-code or 257-arc in PG(4,256)), using the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(2564, 257, F256, 3) (dual of [257, 253, 4]-code or 257-cap in PG(3,256)), using the narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [1,2], and minimum distance d ≥ |{1,2}| + |{−3,0}| = 4 (simple Roos-bound) [i]
- linear OA(2561, 2, F256, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.