Information on Result #693495
Linear OA(2599, 15636, F25, 34) (dual of [15636, 15537, 35]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
- linear OA(2597, 15625, F25, 34) (dual of [15625, 15528, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(252, 11, F25, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2599, 10166, F25, 2, 34) (dual of [(10166, 2), 20233, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (65, 99, 10166)-net over F25 | [i] | ||
| 3 | Linear OOA(2599, 7818, F25, 2, 34) (dual of [(7818, 2), 15537, 35]-NRT-code) | [i] | OOA Folding | |