Information on Result #861849
Linear OOA(2549, 312, F25, 2, 26) (dual of [(312, 2), 575, 27]-NRT-code), using OOA 2-folding based on linear OA(2549, 624, F25, 26) (dual of [624, 575, 27]-code), using
- the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
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(2562, 338, F25, 2, 26) (dual of [(338, 2), 614, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2563, 339, F25, 2, 26) (dual of [(339, 2), 615, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2564, 340, F25, 2, 26) (dual of [(340, 2), 616, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2565, 364, F25, 2, 26) (dual of [(364, 2), 663, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2566, 378, F25, 2, 26) (dual of [(378, 2), 690, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2571, 416, F25, 2, 26) (dual of [(416, 2), 761, 27]-NRT-code) | [i] | ||
| 7 | Digital (23, 49, 271)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |