Information on Result #862299
Linear OOA(2560, 314, F25, 2, 32) (dual of [(314, 2), 568, 33]-NRT-code), using OOA 2-folding based on linear OA(2560, 628, F25, 32) (dual of [628, 568, 33]-code), using
- construction XX applied to C1 = C([623,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([623,30]) [i] based on
- linear OA(2558, 624, F25, 31) (dual of [624, 566, 32]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2558, 624, F25, 31) (dual of [624, 566, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2560, 624, F25, 32) (dual of [624, 564, 33]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2556, 624, F25, 30) (dual of [624, 568, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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(2576, 340, F25, 2, 32) (dual of [(340, 2), 604, 33]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2577, 341, F25, 2, 32) (dual of [(341, 2), 605, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2578, 342, F25, 2, 32) (dual of [(342, 2), 606, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2579, 366, F25, 2, 32) (dual of [(366, 2), 653, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(2580, 380, F25, 2, 32) (dual of [(380, 2), 680, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(2585, 418, F25, 2, 32) (dual of [(418, 2), 751, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(2586, 440, F25, 2, 32) (dual of [(440, 2), 794, 33]-NRT-code) | [i] | ||
| 8 | Digital (28, 60, 290)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |