Information on Result #1814824
Digital (31, 58, 21210)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25658, 21210, F256, 3, 27) (dual of [(21210, 3), 63572, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25658, 21851, F256, 3, 27) (dual of [(21851, 3), 65495, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25658, 65553, F256, 27) (dual of [65553, 65495, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(25658, 65554, F256, 27) (dual of [65554, 65496, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25658, 65554, F256, 27) (dual of [65554, 65496, 28]-code), using
- OOA 3-folding [i] based on linear OA(25658, 65553, F256, 27) (dual of [65553, 65495, 28]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.