Information on Result #616826
Linear OA(2533, 626, F25, 17) (dual of [626, 593, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(2541, 652, F25, 17) (dual of [652, 611, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2542, 655, F25, 17) (dual of [655, 613, 18]-code) | [i] | ||
| 3 | Linear OA(2543, 657, F25, 17) (dual of [657, 614, 18]-code) | [i] | ||
| 4 | Linear OA(2544, 678, F25, 17) (dual of [678, 634, 18]-code) | [i] | ||
| 5 | Linear OA(2545, 692, F25, 17) (dual of [692, 647, 18]-code) | [i] | ||
| 6 | Linear OA(2546, 704, F25, 17) (dual of [704, 658, 18]-code) | [i] | ||
| 7 | Linear OA(2547, 729, F25, 17) (dual of [729, 682, 18]-code) | [i] | ||
| 8 | Linear OA(2545, 640, F25, 17) (dual of [640, 595, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2546, 678, F25, 17) (dual of [678, 632, 18]-code) | [i] | ||
| 10 | Linear OA(2547, 681, F25, 17) (dual of [681, 634, 18]-code) | [i] | ||
| 11 | Linear OA(2540, 634, F25, 17) (dual of [634, 594, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(2538, 631, F25, 19) (dual of [631, 593, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(2534, 631, F25, 17) (dual of [631, 597, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(2544, 637, F25, 21) (dual of [637, 593, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(2536, 637, F25, 17) (dual of [637, 601, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2550, 643, F25, 23) (dual of [643, 593, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(2538, 643, F25, 17) (dual of [643, 605, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(2556, 649, F25, 25) (dual of [649, 593, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(2540, 649, F25, 17) (dual of [649, 609, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(2562, 652, F25, 27) (dual of [652, 590, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(2563, 655, F25, 27) (dual of [655, 592, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(2564, 657, F25, 27) (dual of [657, 593, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(2561, 652, F25, 26) (dual of [652, 591, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(2562, 655, F25, 26) (dual of [655, 593, 27]-code) | [i] | ✔ | |