Information on Result #862920
Linear OOA(2578, 314, F25, 2, 41) (dual of [(314, 2), 550, 42]-NRT-code), using OOA 2-folding based on linear OA(2578, 628, F25, 41) (dual of [628, 550, 42]-code), using
- construction XX applied to C1 = C([623,38]), C2 = C([0,39]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([623,39]) [i] based on
- linear OA(2576, 624, F25, 40) (dual of [624, 548, 41]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,38}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2576, 624, F25, 40) (dual of [624, 548, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2578, 624, F25, 41) (dual of [624, 546, 42]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [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(25101, 366, F25, 2, 41) (dual of [(366, 2), 631, 42]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25102, 380, F25, 2, 41) (dual of [(380, 2), 658, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(25107, 418, F25, 2, 41) (dual of [(418, 2), 729, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(25108, 440, F25, 2, 41) (dual of [(440, 2), 772, 42]-NRT-code) | [i] | ||