Information on Result #693162
Linear OA(25110, 390634, F25, 29) (dual of [390634, 390524, 30]-code), using construction X applied to Ce(28) ⊂ Ce(26) based on
- linear OA(25109, 390625, F25, 29) (dual of [390625, 390516, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25101, 390625, F25, 27) (dual of [390625, 390524, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 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(25110, 200310, F25, 2, 29) (dual of [(200310, 2), 400510, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (81, 110, 200310)-net over F25 | [i] | ||
| 3 | Linear OOA(25110, 195317, F25, 2, 29) (dual of [(195317, 2), 390524, 30]-NRT-code) | [i] | OOA Folding | |