Information on Result #693467
Linear OA(25104, 15632, F25, 36) (dual of [15632, 15528, 37]-code), using construction X applied to Ce(35) ⊂ Ce(33) based on
- linear OA(25103, 15625, F25, 36) (dual of [15625, 15522, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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(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(25104, 9670, F25, 2, 36) (dual of [(9670, 2), 19236, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (68, 104, 9670)-net over F25 | [i] | ||
| 3 | Linear OOA(25104, 7816, F25, 2, 36) (dual of [(7816, 2), 15528, 37]-NRT-code) | [i] | OOA Folding | |