Information on Result #1743664
Digital (10, 18, 2112)-net over F64, using net defined by OOA based on linear OOA(6418, 2112, F64, 10, 8) (dual of [(2112, 10), 21102, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6418, 4225, F64, 2, 8) (dual of [(4225, 2), 8432, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6418, 4225, F64, 8) (dual of [4225, 4207, 9]-code), using
- 124 step Varšamov–Edel lengthening with (ri) = (2, 12 times 0, 1, 110 times 0) [i] based on linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- 124 step Varšamov–Edel lengthening with (ri) = (2, 12 times 0, 1, 110 times 0) [i] based on linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6418, 4225, F64, 8) (dual of [4225, 4207, 9]-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.