Information on Result #693167
Linear OA(2586, 390634, F25, 22) (dual of [390634, 390548, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 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(25101, 390700, F25, 22) (dual of [390700, 390599, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25102, 390702, F25, 22) (dual of [390702, 390600, 23]-code) | [i] | ||
| 3 | Linear OA(25103, 390704, F25, 22) (dual of [390704, 390601, 23]-code) | [i] | ||
| 4 | Linear OOA(2586, 302222, F25, 2, 22) (dual of [(302222, 2), 604358, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (64, 86, 302222)-net over F25 | [i] | ||
| 6 | Linear OOA(2586, 195317, F25, 2, 22) (dual of [(195317, 2), 390548, 23]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2586, 35512, F25, 22, 22) (dual of [(35512, 22), 781178, 23]-NRT-code) | [i] | OA Folding and Stacking | |