Information on Result #1315929
Linear OA(6478, 4381, F64, 34) (dual of [4381, 4303, 35]-code), using 272 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 15 times 0, 1, 33 times 0, 1, 71 times 0, 1, 140 times 0) based on linear OA(6467, 4098, F64, 34) (dual of [4098, 4031, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(6467, 4096, F64, 34) (dual of [4096, 4029, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(6465, 4096, F64, 33) (dual of [4096, 4031, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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
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(6478, 4381, F64, 2, 34) (dual of [(4381, 2), 8684, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6478, 4381, F64, 3, 34) (dual of [(4381, 3), 13065, 35]-NRT-code) | [i] | ||
| 3 | Digital (44, 78, 4381)-net over F64 | [i] | ||
| 4 | Linear OOA(6478, 2190, F64, 2, 34) (dual of [(2190, 2), 4302, 35]-NRT-code) | [i] | OOA Folding | |