Information on Result #1744994
Digital (60, 89, 26721)-net over F64, using net defined by OOA based on linear OOA(6489, 26721, F64, 33, 29) (dual of [(26721, 33), 881704, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6489, 133606, F64, 3, 29) (dual of [(133606, 3), 400729, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6489, 133608, F64, 3, 29) (dual of [(133608, 3), 400735, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6489, 133608, F64, 29) (dual of [133608, 133519, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(6489, 262163, F64, 29) (dual of [262163, 262074, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(23) [i] based on
- linear OA(6485, 262144, F64, 29) (dual of [262144, 262059, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- construction X applied to Ce(28) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(6489, 262163, F64, 29) (dual of [262163, 262074, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6489, 133608, F64, 29) (dual of [133608, 133519, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(6489, 133608, F64, 3, 29) (dual of [(133608, 3), 400735, 30]-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.