Information on Result #1315737
Linear OA(6427, 5693, F64, 11) (dual of [5693, 5666, 12]-code), using 1589 step Varšamov–Edel lengthening with (ri) = (3, 8 times 0, 1, 68 times 0, 1, 347 times 0, 1, 1162 times 0) based on linear OA(6421, 4098, F64, 11) (dual of [4098, 4077, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(6421, 4096, F64, 11) (dual of [4096, 4075, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(6427, 5693, F64, 2, 11) (dual of [(5693, 2), 11359, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6427, 5693, F64, 3, 11) (dual of [(5693, 3), 17052, 12]-NRT-code) | [i] | ||
| 3 | Digital (16, 27, 5693)-net over F64 | [i] | ||
| 4 | Linear OOA(6427, 2846, F64, 2, 11) (dual of [(2846, 2), 5665, 12]-NRT-code) | [i] | OOA Folding | |