Information on Result #905866
Linear OOA(25659, 33031, F256, 2, 23) (dual of [(33031, 2), 66003, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 257, F256, 2, 11) (dual of [(257, 2), 503, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;503,256) [i]
- linear OOA(25648, 32774, F256, 2, 23) (dual of [(32774, 2), 65500, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25648, 65548, F256, 23) (dual of [65548, 65500, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- 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]
- 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]
- linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-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
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- OOA 2-folding [i] based on linear OA(25648, 65548, F256, 23) (dual of [65548, 65500, 24]-code), 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.