Information on Result #693516
Linear OA(2536, 15636, F25, 12) (dual of [15636, 15600, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) based on
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2525, 15625, F25, 9) (dual of [15625, 15600, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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 OA(2542, 15662, F25, 12) (dual of [15662, 15620, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2536, 14738, F25, 2, 12) (dual of [(14738, 2), 29440, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (24, 36, 14738)-net over F25 | [i] | ||
| 4 | Linear OOA(2536, 7818, F25, 2, 12) (dual of [(7818, 2), 15600, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2536, 2606, F25, 12, 12) (dual of [(2606, 12), 31236, 13]-NRT-code) | [i] | OA Folding and Stacking | |