Information on Result #1744524
Digital (27, 50, 561)-net over F64, using net defined by OOA based on linear OOA(6450, 561, F64, 27, 23) (dual of [(561, 27), 15097, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6450, 2245, F64, 3, 23) (dual of [(2245, 3), 6685, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6450, 2248, F64, 3, 23) (dual of [(2248, 3), 6694, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6450, 2248, F64, 23) (dual of [2248, 2198, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(6450, 4114, F64, 23) (dual of [4114, 4064, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(6445, 4097, F64, 23) (dual of [4097, 4052, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(6433, 4097, F64, 17) (dual of [4097, 4064, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(645, 17, F64, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6450, 4114, F64, 23) (dual of [4114, 4064, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6450, 2248, F64, 23) (dual of [2248, 2198, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(6450, 2248, F64, 3, 23) (dual of [(2248, 3), 6694, 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.