Information on Result #693486
Linear OA(2523, 15632, F25, 8) (dual of [15632, 15609, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2516, 15625, F25, 6) (dual of [15625, 15609, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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 OA(2527, 15658, F25, 8) (dual of [15658, 15631, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2523, 15632, F25, 2, 8) (dual of [(15632, 2), 31241, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (15, 23, 15632)-net over F25 | [i] | ||
| 4 | Linear OOA(2523, 7816, F25, 2, 8) (dual of [(7816, 2), 15609, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2523, 3908, F25, 8, 8) (dual of [(3908, 8), 31241, 9]-NRT-code) | [i] | OA Folding and Stacking | |