Information on Result #1745182
Digital (46, 80, 846)-net over F64, using net defined by OOA based on linear OOA(6480, 846, F64, 39, 34) (dual of [(846, 39), 32914, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(6480, 5077, F64, 3, 34) (dual of [(5077, 3), 15151, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6480, 5078, F64, 3, 34) (dual of [(5078, 3), 15154, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6480, 5078, F64, 34) (dual of [5078, 4998, 35]-code), using
- 967 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 15 times 0, 1, 33 times 0, 1, 71 times 0, 1, 140 times 0, 1, 259 times 0, 1, 434 times 0) [i] based on linear OA(6467, 4098, F64, 34) (dual of [4098, 4031, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(6467, 4096, F64, 34) (dual of [4096, 4029, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(6465, 4096, F64, 33) (dual of [4096, 4031, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- 967 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 15 times 0, 1, 33 times 0, 1, 71 times 0, 1, 140 times 0, 1, 259 times 0, 1, 434 times 0) [i] based on linear OA(6467, 4098, F64, 34) (dual of [4098, 4031, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6480, 5078, F64, 34) (dual of [5078, 4998, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(6480, 5078, F64, 3, 34) (dual of [(5078, 3), 15154, 35]-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.