Information on Result #693765
Linear OA(2553, 626, F25, 27) (dual of [626, 573, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(2558, 631, F25, 29) (dual of [631, 573, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2554, 631, F25, 27) (dual of [631, 577, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(2564, 637, F25, 31) (dual of [637, 573, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2556, 637, F25, 27) (dual of [637, 581, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(2570, 643, F25, 33) (dual of [643, 573, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(2558, 643, F25, 27) (dual of [643, 585, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(2576, 649, F25, 35) (dual of [649, 573, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(2560, 649, F25, 27) (dual of [649, 589, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2582, 652, F25, 37) (dual of [652, 570, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(2583, 655, F25, 37) (dual of [655, 572, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2584, 657, F25, 37) (dual of [657, 573, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(2581, 652, F25, 36) (dual of [652, 571, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(2582, 655, F25, 36) (dual of [655, 573, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(2562, 652, F25, 27) (dual of [652, 590, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(2563, 655, F25, 27) (dual of [655, 592, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(2564, 657, F25, 27) (dual of [657, 593, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(2561, 652, F25, 26) (dual of [652, 591, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(2562, 655, F25, 26) (dual of [655, 593, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(2591, 664, F25, 39) (dual of [664, 573, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(2597, 670, F25, 41) (dual of [670, 573, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(25103, 676, F25, 43) (dual of [676, 573, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(25110, 683, F25, 45) (dual of [683, 573, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(25108, 678, F25, 44) (dual of [678, 570, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(2589, 659, F25, 38) (dual of [659, 570, 39]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 25 | Linear OA(2585, 659, F25, 36) (dual of [659, 574, 37]-code) | [i] | ✔ | |