Information on Result #1745234
Digital (46, 82, 716)-net over F64, using net defined by OOA based on linear OOA(6482, 716, F64, 39, 36) (dual of [(716, 39), 27842, 37]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(6482, 4297, F64, 3, 36) (dual of [(4297, 3), 12809, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 4300, F64, 3, 36) (dual of [(4300, 3), 12818, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6482, 4300, F64, 36) (dual of [4300, 4218, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(6482, 4323, F64, 36) (dual of [4323, 4241, 37]-code), using
- 214 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 4 times 0, 1, 13 times 0, 1, 26 times 0, 1, 55 times 0, 1, 108 times 0) [i] based on linear OA(6471, 4098, F64, 36) (dual of [4098, 4027, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(34) [i] based on
- linear OA(6471, 4096, F64, 36) (dual of [4096, 4025, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(6469, 4096, F64, 35) (dual of [4096, 4027, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(35) ⊂ Ce(34) [i] based on
- 214 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 4 times 0, 1, 13 times 0, 1, 26 times 0, 1, 55 times 0, 1, 108 times 0) [i] based on linear OA(6471, 4098, F64, 36) (dual of [4098, 4027, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(6482, 4323, F64, 36) (dual of [4323, 4241, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6482, 4300, F64, 36) (dual of [4300, 4218, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(6482, 4300, F64, 3, 36) (dual of [(4300, 3), 12818, 37]-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.