Information on Result #1744650
Digital (48, 72, 32769)-net over F64, using net defined by OOA based on linear OOA(6472, 32769, F64, 27, 24) (dual of [(32769, 27), 884691, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6472, 131077, F64, 3, 24) (dual of [(131077, 3), 393159, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6472, 131077, F64, 2, 24) (dual of [(131077, 2), 262082, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6472, 262154, F64, 24) (dual of [262154, 262082, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(6472, 262155, F64, 24) (dual of [262155, 262083, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- 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(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(6472, 262155, F64, 24) (dual of [262155, 262083, 25]-code), using
- OOA 2-folding [i] based on linear OA(6472, 262154, F64, 24) (dual of [262154, 262082, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6472, 131077, F64, 2, 24) (dual of [(131077, 2), 262082, 25]-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.