Information on Result #1744040
Digital (33, 49, 49841)-net over F64, using net defined by OOA based on linear OOA(6449, 49841, F64, 21, 16) (dual of [(49841, 21), 1046612, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6449, 149524, F64, 3, 16) (dual of [(149524, 3), 448523, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 149526, F64, 3, 16) (dual of [(149526, 3), 448529, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6449, 149526, F64, 16) (dual of [149526, 149477, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(6449, 262159, F64, 16) (dual of [262159, 262110, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(6449, 262159, F64, 16) (dual of [262159, 262110, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6449, 149526, F64, 16) (dual of [149526, 149477, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 149526, F64, 3, 16) (dual of [(149526, 3), 448529, 17]-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.