Information on Result #1744294
Digital (29, 49, 1446)-net over F64, using net defined by OOA based on linear OOA(6449, 1446, F64, 27, 20) (dual of [(1446, 27), 38993, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6449, 5785, F64, 3, 20) (dual of [(5785, 3), 17306, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 5786, F64, 3, 20) (dual of [(5786, 3), 17309, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6449, 5786, F64, 20) (dual of [5786, 5737, 21]-code), using
- 1678 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 1, 7 times 0, 1, 23 times 0, 1, 70 times 0, 1, 189 times 0, 1, 465 times 0, 1, 915 times 0) [i] based on linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- 1678 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 1, 7 times 0, 1, 23 times 0, 1, 70 times 0, 1, 189 times 0, 1, 465 times 0, 1, 915 times 0) [i] based on linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6449, 5786, F64, 20) (dual of [5786, 5737, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 5786, F64, 3, 20) (dual of [(5786, 3), 17309, 21]-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.