Information on Result #862005
Linear OOA(2553, 314, F25, 2, 28) (dual of [(314, 2), 575, 29]-NRT-code), using OOA 2-folding based on linear OA(2553, 628, F25, 28) (dual of [628, 575, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2553, 629, F25, 28) (dual of [629, 576, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(2552, 625, F25, 28) (dual of [625, 573, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(251, 4, F25, 1) (dual of [4, 3, 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
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
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(2571, 380, F25, 2, 28) (dual of [(380, 2), 689, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2577, 440, F25, 2, 28) (dual of [(440, 2), 803, 29]-NRT-code) | [i] | ||
| 3 | Digital (25, 53, 289)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |