Information on Result #724606
Linear OA(2568, 628, F25, 36) (dual of [628, 560, 37]-code), using construction XX applied to C1 = C([623,33]), C2 = C([0,34]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([623,34]) based on
- linear OA(2566, 624, F25, 35) (dual of [624, 558, 36]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [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(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(2564, 624, F25, 34) (dual of [624, 560, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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(5136, 1256, F5, 36) (dual of [1256, 1120, 37]-code) | [i] | Trace Code | |
| 2 | Linear OA(2590, 694, F25, 36) (dual of [694, 604, 37]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2591, 696, F25, 36) (dual of [696, 605, 37]-code) | [i] | ||
| 4 | Linear OA(2592, 698, F25, 36) (dual of [698, 606, 37]-code) | [i] | ||
| 5 | Linear OA(2593, 700, F25, 36) (dual of [700, 607, 37]-code) | [i] | ||
| 6 | Linear OA(2595, 732, F25, 36) (dual of [732, 637, 37]-code) | [i] | ||
| 7 | Linear OA(2596, 754, F25, 36) (dual of [754, 658, 37]-code) | [i] | ||
| 8 | Linear OA(2597, 756, F25, 36) (dual of [756, 659, 37]-code) | [i] | ||
| 9 | Linear OA(2598, 758, F25, 36) (dual of [758, 660, 37]-code) | [i] | ||
| 10 | Linear OA(2575, 654, F25, 36) (dual of [654, 579, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(2576, 678, F25, 36) (dual of [678, 602, 37]-code) | [i] | ||
| 12 | Linear OA(2577, 718, F25, 36) (dual of [718, 641, 37]-code) | [i] | ||
| 13 | Linear OA(2578, 776, F25, 36) (dual of [776, 698, 37]-code) | [i] | ||
| 14 | Linear OA(2579, 847, F25, 36) (dual of [847, 768, 37]-code) | [i] | ||
| 15 | Linear OOA(2568, 314, F25, 2, 36) (dual of [(314, 2), 560, 37]-NRT-code) | [i] | OOA Folding | |