Information on Result #693153
Linear OA(2529, 390629, F25, 8) (dual of [390629, 390600, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2525, 390625, F25, 7) (dual of [390625, 390600, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-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(2533, 390655, F25, 8) (dual of [390655, 390622, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2534, 390658, F25, 8) (dual of [390658, 390624, 9]-code) | [i] | ||
| 3 | Linear OA(2535, 391229, F25, 8) (dual of [391229, 391194, 9]-code) | [i] | ||
| 4 | Linear OOA(2529, 390629, F25, 2, 8) (dual of [(390629, 2), 781229, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (21, 29, 390629)-net over F25 | [i] | ||
| 6 | Linear OOA(2529, 195314, F25, 2, 8) (dual of [(195314, 2), 390599, 9]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2529, 97657, F25, 8, 8) (dual of [(97657, 8), 781227, 9]-NRT-code) | [i] | OA Folding and Stacking | |