Information on Result #723509

Linear OA(2545, 624, F25, 23) (dual of [624, 579, 24]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {4,5,…,26}, and designed minimum distance d ≥ |I|+1 = 24

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2563, 658, F25, 27) (dual of [658, 595, 28]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2560, 656, F25, 26) (dual of [656, 596, 27]-code) [i]✔
3Linear OA(2562, 658, F25, 27) (dual of [658, 596, 28]-code) [i]✔
4Linear OA(2555, 634, F25, 28) (dual of [634, 579, 29]-code) [i]✔
5Linear OA(2558, 637, F25, 29) (dual of [637, 579, 30]-code) [i]✔
6Linear OA(2561, 640, F25, 30) (dual of [640, 579, 31]-code) [i]✔
7Linear OA(2564, 643, F25, 31) (dual of [643, 579, 32]-code) [i]✔
8Linear OA(2567, 646, F25, 32) (dual of [646, 579, 33]-code) [i]✔
9Linear OA(2570, 649, F25, 33) (dual of [649, 579, 34]-code) [i]✔
10Linear OA(2573, 652, F25, 34) (dual of [652, 579, 35]-code) [i]✔
11Linear OA(2577, 655, F25, 35) (dual of [655, 578, 36]-code) [i]✔
12Linear OA(2576, 655, F25, 35) (dual of [655, 579, 36]-code) [i]✔
13Linear OA(2580, 658, F25, 36) (dual of [658, 578, 37]-code) [i]✔
14Linear OA(2579, 658, F25, 36) (dual of [658, 579, 37]-code) [i]✔
15Linear OA(2583, 661, F25, 37) (dual of [661, 578, 38]-code) [i]✔
16Linear OA(2582, 661, F25, 37) (dual of [661, 579, 38]-code) [i]✔
17Linear OA(2586, 664, F25, 38) (dual of [664, 578, 39]-code) [i]✔
18Linear OA(2585, 664, F25, 38) (dual of [664, 579, 39]-code) [i]✔
19Linear OA(2589, 667, F25, 39) (dual of [667, 578, 40]-code) [i]✔
20Linear OA(2588, 667, F25, 39) (dual of [667, 579, 40]-code) [i]✔
21Linear OA(2592, 670, F25, 40) (dual of [670, 578, 41]-code) [i]✔
22Linear OA(2591, 670, F25, 40) (dual of [670, 579, 41]-code) [i]✔
23Linear OA(2595, 673, F25, 41) (dual of [673, 578, 42]-code) [i]✔
24Linear OA(2594, 673, F25, 41) (dual of [673, 579, 42]-code) [i]✔
25Linear OA(2598, 676, F25, 42) (dual of [676, 578, 43]-code) [i]✔
26Linear OA(2597, 676, F25, 42) (dual of [676, 579, 43]-code) [i]✔
27Linear OA(25102, 681, F25, 43) (dual of [681, 579, 44]-code) [i]✔
28Linear OA(25101, 679, F25, 43) (dual of [679, 578, 44]-code) [i]✔
29Linear OA(25107, 686, F25, 44) (dual of [686, 579, 45]-code) [i]✔