Information on Result #862653
Linear OOA(2570, 314, F25, 2, 37) (dual of [(314, 2), 558, 38]-NRT-code), using OOA 2-folding based on linear OA(2570, 628, F25, 37) (dual of [628, 558, 38]-code), using
- construction XX applied to C1 = C([623,34]), C2 = C([0,35]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([623,35]) [i] based on
- linear OA(2568, 624, F25, 36) (dual of [624, 556, 37]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2568, 624, F25, 36) (dual of [624, 556, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2570, 624, F25, 37) (dual of [624, 554, 38]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,35}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2566, 624, F25, 35) (dual of [624, 558, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [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(2588, 340, F25, 2, 37) (dual of [(340, 2), 592, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2589, 341, F25, 2, 37) (dual of [(341, 2), 593, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(2590, 342, F25, 2, 37) (dual of [(342, 2), 594, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(2591, 366, F25, 2, 37) (dual of [(366, 2), 641, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(2592, 380, F25, 2, 37) (dual of [(380, 2), 668, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(2597, 418, F25, 2, 37) (dual of [(418, 2), 739, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(2598, 440, F25, 2, 37) (dual of [(440, 2), 782, 38]-NRT-code) | [i] | ||