Information on Result #1315746
Linear OA(6432, 5679, F64, 13) (dual of [5679, 5647, 14]-code), using 1574 step Varšamov–Edel lengthening with (ri) = (3, 5 times 0, 1, 23 times 0, 1, 99 times 0, 1, 365 times 0, 1, 1077 times 0) based on linear OA(6425, 4098, F64, 13) (dual of [4098, 4073, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(6432, 5679, F64, 2, 13) (dual of [(5679, 2), 11326, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6432, 5679, F64, 3, 13) (dual of [(5679, 3), 17005, 14]-NRT-code) | [i] | ||
| 3 | Digital (19, 32, 5679)-net over F64 | [i] | ||
| 4 | Linear OOA(6432, 2839, F64, 2, 13) (dual of [(2839, 2), 5646, 14]-NRT-code) | [i] | OOA Folding | |