Information on Result #1744532
Digital (31, 54, 1112)-net over F64, using net defined by OOA based on linear OOA(6454, 1112, F64, 27, 23) (dual of [(1112, 27), 29970, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6454, 4449, F64, 3, 23) (dual of [(4449, 3), 13293, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6454, 4450, F64, 3, 23) (dual of [(4450, 3), 13296, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6454, 4450, F64, 23) (dual of [4450, 4396, 24]-code), using
- 343 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 10 times 0, 1, 30 times 0, 1, 84 times 0, 1, 212 times 0) [i] based on linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- 343 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 10 times 0, 1, 30 times 0, 1, 84 times 0, 1, 212 times 0) [i] based on linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6454, 4450, F64, 23) (dual of [4450, 4396, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(6454, 4450, F64, 3, 23) (dual of [(4450, 3), 13296, 24]-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.