Information on Result #723851
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]) 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 OA(594, 1256, F5, 24) (dual of [1256, 1162, 25]-code) | [i] | Trace Code | |
| 2 | Linear OA(2562, 680, F25, 24) (dual of [680, 618, 25]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2563, 694, F25, 24) (dual of [694, 631, 25]-code) | [i] | ||
| 4 | Linear OA(2564, 696, F25, 24) (dual of [696, 632, 25]-code) | [i] | ||
| 5 | Linear OA(2565, 698, F25, 24) (dual of [698, 633, 25]-code) | [i] | ||
| 6 | Linear OA(2566, 700, F25, 24) (dual of [700, 634, 25]-code) | [i] | ||
| 7 | Linear OA(2567, 705, F25, 24) (dual of [705, 638, 25]-code) | [i] | ||
| 8 | Linear OA(2568, 736, F25, 24) (dual of [736, 668, 25]-code) | [i] | ||
| 9 | Linear OA(2552, 654, F25, 24) (dual of [654, 602, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(2553, 694, F25, 24) (dual of [694, 641, 25]-code) | [i] | ||
| 11 | Linear OA(2554, 770, F25, 24) (dual of [770, 716, 25]-code) | [i] | ||
| 12 | Linear OA(2555, 878, F25, 24) (dual of [878, 823, 25]-code) | [i] | ||
| 13 | Linear OOA(2547, 314, F25, 2, 24) (dual of [(314, 2), 581, 25]-NRT-code) | [i] | OOA Folding | |