Information on Result #1744250
Digital (43, 62, 87391)-net over F64, using net defined by OOA based on linear OOA(6462, 87391, F64, 21, 19) (dual of [(87391, 21), 1835149, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6462, 262174, F64, 3, 19) (dual of [(262174, 3), 786460, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6462, 262176, F64, 3, 19) (dual of [(262176, 3), 786466, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6462, 262176, F64, 19) (dual of [262176, 262114, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,5]) [i] based on
- linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(647, 31, F64, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- construction X applied to C([0,9]) ⊂ C([0,5]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6462, 262176, F64, 19) (dual of [262176, 262114, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(6462, 262176, F64, 3, 19) (dual of [(262176, 3), 786466, 20]-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.