Information on Result #861850
Linear OOA(2550, 314, F25, 2, 26) (dual of [(314, 2), 578, 27]-NRT-code), using OOA 2-folding based on linear OA(2550, 628, F25, 26) (dual of [628, 578, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 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(2547, 625, F25, 24) (dual of [625, 578, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 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(2563, 340, F25, 2, 26) (dual of [(340, 2), 617, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2564, 341, F25, 2, 26) (dual of [(341, 2), 618, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2567, 380, F25, 2, 26) (dual of [(380, 2), 693, 27]-NRT-code) | [i] | ||
| 4 | Digital (24, 50, 314)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |