Information on Result #1315749
Linear OA(6433, 4382, F64, 14) (dual of [4382, 4349, 15]-code), using 278 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 1, 12 times 0, 1, 53 times 0, 1, 207 times 0) based on linear OA(6427, 4098, F64, 14) (dual of [4098, 4071, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(6433, 4382, F64, 2, 14) (dual of [(4382, 2), 8731, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6433, 4382, F64, 3, 14) (dual of [(4382, 3), 13113, 15]-NRT-code) | [i] | ||
| 3 | Digital (19, 33, 4382)-net over F64 | [i] | ||
| 4 | Linear OOA(6433, 2191, F64, 2, 14) (dual of [(2191, 2), 4349, 15]-NRT-code) | [i] | OOA Folding | |