Information on Result #1455779
Linear OOA(2529, 390629, F25, 2, 8) (dual of [(390629, 2), 781229, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2529, 390629, F25, 8) (dual of [390629, 390600, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] 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: 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(2529, 195314, F25, 10, 8) (dual of [(195314, 10), 1953111, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |