Information on Result #699087
Linear OA(6437, 317, F64, 21) (dual of [317, 280, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(6437, 316, F64, 21) (dual of [316, 279, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(6436, 316, F64, 20) (dual of [316, 280, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(640, 1, F64, 0) (dual of [1, 1, 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 OOA(6437, 317, F64, 2, 21) (dual of [(317, 2), 597, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6437, 317, F64, 3, 21) (dual of [(317, 3), 914, 22]-NRT-code) | [i] | ||
| 3 | Digital (16, 37, 317)-net over F64 | [i] | ||
| 4 | Linear OA(6438, 367, F64, 21) (dual of [367, 329, 22]-code) | [i] | Varšamov–Edel Lengthening | |