Information on Result #1744530
Digital (30, 53, 1019)-net over F64, using net defined by OOA based on linear OOA(6453, 1019, F64, 27, 23) (dual of [(1019, 27), 27460, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6453, 4077, F64, 3, 23) (dual of [(4077, 3), 12178, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6453, 4079, F64, 3, 23) (dual of [(4079, 3), 12184, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6453, 4079, F64, 23) (dual of [4079, 4026, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, 4122, F64, 23) (dual of [4122, 4069, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(13) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(648, 26, F64, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- construction X applied to Ce(22) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(6453, 4122, F64, 23) (dual of [4122, 4069, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6453, 4079, F64, 23) (dual of [4079, 4026, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(6453, 4079, F64, 3, 23) (dual of [(4079, 3), 12184, 24]-NRT-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.