Information on Result #861686
Linear OOA(2547, 314, F25, 2, 24) (dual of [(314, 2), 581, 25]-NRT-code), using OOA 2-folding based on linear OA(2547, 628, F25, 24) (dual of [628, 581, 25]-code), using
- construction XX applied to C1 = C([623,21]), C2 = C([0,22]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([623,22]) [i] based on
- linear OA(2545, 624, F25, 23) (dual of [624, 579, 24]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2545, 624, F25, 23) (dual of [624, 579, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2547, 624, F25, 24) (dual of [624, 577, 25]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2543, 624, F25, 22) (dual of [624, 581, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)
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(2559, 340, F25, 2, 24) (dual of [(340, 2), 621, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2560, 341, F25, 2, 24) (dual of [(341, 2), 622, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(2561, 342, F25, 2, 24) (dual of [(342, 2), 623, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(2562, 366, F25, 2, 24) (dual of [(366, 2), 670, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(2563, 380, F25, 2, 24) (dual of [(380, 2), 697, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(2568, 418, F25, 2, 24) (dual of [(418, 2), 768, 25]-NRT-code) | [i] | ||
| 7 | Digital (23, 47, 314)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |