Information on Result #699097
Linear OA(6412, 318, F64, 7) (dual of [318, 306, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(6412, 316, F64, 7) (dual of [316, 304, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(6410, 316, F64, 6) (dual of [316, 306, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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: Constructive and 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 OA(6441, 4416, F64, 15) (dual of [4416, 4375, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6455, 262465, F64, 15) (dual of [262465, 262410, 16]-code) | [i] | ||
| 3 | Linear OA(6452, 262465, F64, 14) (dual of [262465, 262413, 15]-code) | [i] | ||
| 4 | Linear OOA(6412, 318, F64, 2, 7) (dual of [(318, 2), 624, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(6412, 318, F64, 3, 7) (dual of [(318, 3), 942, 8]-NRT-code) | [i] | ||
| 6 | Digital (5, 12, 318)-net over F64 | [i] | ||
| 7 | Linear OOA(6412, 159, F64, 2, 7) (dual of [(159, 2), 306, 8]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(6412, 106, F64, 3, 7) (dual of [(106, 3), 306, 8]-NRT-code) | [i] | ||