Information on Result #1744808
Digital (56, 82, 38804)-net over F64, using net defined by OOA based on linear OOA(6482, 38804, F64, 33, 26) (dual of [(38804, 33), 1280450, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6482, 194021, F64, 3, 26) (dual of [(194021, 3), 581981, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 194023, F64, 3, 26) (dual of [(194023, 3), 581987, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6482, 194023, F64, 26) (dual of [194023, 193941, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(6482, 262171, F64, 26) (dual of [262171, 262089, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(6482, 262171, F64, 26) (dual of [262171, 262089, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6482, 194023, F64, 26) (dual of [194023, 193941, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 194023, F64, 3, 26) (dual of [(194023, 3), 581987, 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.