Information on Result #693466
Linear OA(25107, 15632, F25, 37) (dual of [15632, 15525, 38]-code), using construction X applied to Ce(36) ⊂ Ce(34) based on
- linear OA(25106, 15625, F25, 37) (dual of [15625, 15519, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(25100, 15625, F25, 35) (dual of [15625, 15525, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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 OOA(25107, 9909, F25, 2, 37) (dual of [(9909, 2), 19711, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (70, 107, 9909)-net over F25 | [i] | ||
| 3 | Linear OOA(25107, 7816, F25, 2, 37) (dual of [(7816, 2), 15525, 38]-NRT-code) | [i] | OOA Folding | |