Information on Result #1744812
Digital (58, 84, 52435)-net over F64, using net defined by OOA based on linear OOA(6484, 52435, F64, 33, 26) (dual of [(52435, 33), 1730271, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6484, 262176, F64, 3, 26) (dual of [(262176, 3), 786444, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6484, 262179, F64, 3, 26) (dual of [(262179, 3), 786453, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6484, 262179, F64, 26) (dual of [262179, 262095, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(16) [i] based on
- linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(648, 35, F64, 8) (dual of [35, 27, 9]-code or 35-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(25) ⊂ Ce(16) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6484, 262179, F64, 26) (dual of [262179, 262095, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(6484, 262179, F64, 3, 26) (dual of [(262179, 3), 786453, 27]-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.