Information on Result #1814899
Digital (33, 62, 19243)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25662, 19243, F256, 3, 29) (dual of [(19243, 3), 57667, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25662, 21851, F256, 3, 29) (dual of [(21851, 3), 65491, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25662, 65553, F256, 29) (dual of [65553, 65491, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(25662, 65554, F256, 29) (dual of [65554, 65492, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,11]) [i] based on
- linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- 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(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([0,14]) ⊂ C([0,11]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25662, 65554, F256, 29) (dual of [65554, 65492, 30]-code), using
- OOA 3-folding [i] based on linear OA(25662, 65553, F256, 29) (dual of [65553, 65491, 30]-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.