Information on Result #1745106
Digital (44, 76, 888)-net over F64, using net defined by OOA based on linear OOA(6476, 888, F64, 39, 32) (dual of [(888, 39), 34556, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(6476, 5329, F64, 3, 32) (dual of [(5329, 3), 15911, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6476, 5331, F64, 3, 32) (dual of [(5331, 3), 15917, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6476, 5331, F64, 32) (dual of [5331, 5255, 33]-code), using
- 1220 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 16 times 0, 1, 38 times 0, 1, 86 times 0, 1, 179 times 0, 1, 340 times 0, 1, 546 times 0) [i] based on linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(31) ⊂ Ce(30) [i] based on
- 1220 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 16 times 0, 1, 38 times 0, 1, 86 times 0, 1, 179 times 0, 1, 340 times 0, 1, 546 times 0) [i] based on linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6476, 5331, F64, 32) (dual of [5331, 5255, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(6476, 5331, F64, 3, 32) (dual of [(5331, 3), 15917, 33]-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.