Information on Result #683437
Linear OA(596, 630, F5, 31) (dual of [630, 534, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) based on
- linear OA(595, 625, F5, 31) (dual of [625, 530, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(591, 625, F5, 29) (dual of [625, 534, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(596, 550, F5, 2, 31) (dual of [(550, 2), 1004, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(596, 550, F5, 3, 31) (dual of [(550, 3), 1554, 32]-NRT-code) | [i] | ||
| 3 | Digital (65, 96, 550)-net over F5 | [i] | ||
| 4 | Linear OOA(596, 315, F5, 2, 31) (dual of [(315, 2), 534, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(596, 210, F5, 3, 31) (dual of [(210, 3), 534, 32]-NRT-code) | [i] | ||