Information on Result #862854
Linear OOA(2576, 314, F25, 2, 40) (dual of [(314, 2), 552, 41]-NRT-code), using OOA 2-folding based on linear OA(2576, 628, F25, 40) (dual of [628, 552, 41]-code), using
- construction XX applied to C1 = C([623,37]), C2 = C([0,38]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([623,38]) [i] based on
- linear OA(2574, 624, F25, 39) (dual of [624, 550, 40]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,37}, and designed minimum distance d ≥ |I|+1 = 40 [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(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(2572, 624, F25, 38) (dual of [624, 552, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [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(2599, 366, F25, 2, 40) (dual of [(366, 2), 633, 41]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25100, 380, F25, 2, 40) (dual of [(380, 2), 660, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(25105, 418, F25, 2, 40) (dual of [(418, 2), 731, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(25106, 440, F25, 2, 40) (dual of [(440, 2), 774, 41]-NRT-code) | [i] | ||