Information on Result #1744898
Digital (39, 67, 1064)-net over F64, using net defined by OOA based on linear OOA(6467, 1064, F64, 33, 28) (dual of [(1064, 33), 35045, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6467, 5321, F64, 3, 28) (dual of [(5321, 3), 15896, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6467, 5323, F64, 3, 28) (dual of [(5323, 3), 15902, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6467, 5323, F64, 28) (dual of [5323, 5256, 29]-code), using
- 1213 step Varšamov–Edel lengthening with (ri) = (5, 0, 1, 5 times 0, 1, 12 times 0, 1, 31 times 0, 1, 73 times 0, 1, 162 times 0, 1, 334 times 0, 1, 587 times 0) [i] based on linear OA(6455, 4098, F64, 28) (dual of [4098, 4043, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(27) ⊂ Ce(26) [i] based on
- 1213 step Varšamov–Edel lengthening with (ri) = (5, 0, 1, 5 times 0, 1, 12 times 0, 1, 31 times 0, 1, 73 times 0, 1, 162 times 0, 1, 334 times 0, 1, 587 times 0) [i] based on linear OA(6455, 4098, F64, 28) (dual of [4098, 4043, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6467, 5323, F64, 28) (dual of [5323, 5256, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(6467, 5323, F64, 3, 28) (dual of [(5323, 3), 15902, 29]-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.