Information on Result #693759
Linear OA(2565, 626, F25, 33) (dual of [626, 561, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2570, 631, F25, 35) (dual of [631, 561, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2566, 631, F25, 33) (dual of [631, 565, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2576, 637, F25, 37) (dual of [637, 561, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2568, 637, F25, 33) (dual of [637, 569, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2582, 643, F25, 39) (dual of [643, 561, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2570, 643, F25, 33) (dual of [643, 573, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(2588, 649, F25, 41) (dual of [649, 561, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2572, 649, F25, 33) (dual of [649, 577, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2594, 652, F25, 43) (dual of [652, 558, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(2595, 655, F25, 43) (dual of [655, 560, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(2596, 657, F25, 43) (dual of [657, 561, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(2593, 652, F25, 42) (dual of [652, 559, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(2594, 655, F25, 42) (dual of [655, 561, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(2574, 652, F25, 33) (dual of [652, 578, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(2575, 655, F25, 33) (dual of [655, 580, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(2576, 657, F25, 33) (dual of [657, 581, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(2573, 652, F25, 32) (dual of [652, 579, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(2574, 655, F25, 32) (dual of [655, 581, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(25103, 664, F25, 45) (dual of [664, 561, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(2579, 664, F25, 33) (dual of [664, 585, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(25109, 670, F25, 47) (dual of [670, 561, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(25101, 659, F25, 44) (dual of [659, 558, 45]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(2597, 659, F25, 42) (dual of [659, 562, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(2577, 659, F25, 32) (dual of [659, 582, 33]-code) | [i] | ✔ | |