Information on Result #693757
Linear OA(2569, 626, F25, 35) (dual of [626, 557, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(2574, 631, F25, 37) (dual of [631, 557, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2570, 631, F25, 35) (dual of [631, 561, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(2580, 637, F25, 39) (dual of [637, 557, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2572, 637, F25, 35) (dual of [637, 565, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(2586, 643, F25, 41) (dual of [643, 557, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2574, 643, F25, 35) (dual of [643, 569, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(2592, 649, F25, 43) (dual of [649, 557, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(2576, 649, F25, 35) (dual of [649, 573, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(2598, 652, F25, 45) (dual of [652, 554, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(2599, 655, F25, 45) (dual of [655, 556, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(25100, 657, F25, 45) (dual of [657, 557, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(2597, 652, F25, 44) (dual of [652, 555, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(2598, 655, F25, 44) (dual of [655, 557, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(2578, 652, F25, 35) (dual of [652, 574, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(2579, 655, F25, 35) (dual of [655, 576, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(2580, 657, F25, 35) (dual of [657, 577, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(2577, 652, F25, 34) (dual of [652, 575, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(2578, 655, F25, 34) (dual of [655, 577, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(25107, 664, F25, 47) (dual of [664, 557, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(2583, 664, F25, 35) (dual of [664, 581, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(2585, 670, F25, 35) (dual of [670, 585, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(25105, 659, F25, 46) (dual of [659, 554, 47]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(25101, 659, F25, 44) (dual of [659, 558, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(2581, 659, F25, 34) (dual of [659, 578, 35]-code) | [i] | ✔ | |