Information on Result #1315817
Linear OA(6451, 4260, F64, 22) (dual of [4260, 4209, 23]-code), using 152 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 11 times 0, 1, 35 times 0, 1, 99 times 0) based on linear OA(6444, 4101, F64, 22) (dual of [4101, 4057, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- 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(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(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6451, 4260, F64, 2, 22) (dual of [(4260, 2), 8469, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6451, 4260, F64, 3, 22) (dual of [(4260, 3), 12729, 23]-NRT-code) | [i] | ||
| 3 | Digital (29, 51, 4260)-net over F64 | [i] | ||
| 4 | Linear OOA(6451, 2130, F64, 2, 22) (dual of [(2130, 2), 4209, 23]-NRT-code) | [i] | OOA Folding | |