Information on Result #723470

Linear OA(2541, 624, F25, 21) (dual of [624, 583, 22]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {6,7,…,26}, and designed minimum distance d ≥ |I|+1 = 22

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, 662, F25, 26) (dual of [662, 599, 27]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2565, 664, F25, 27) (dual of [664, 599, 28]-code) [i]✔
3Linear OA(2562, 662, F25, 26) (dual of [662, 600, 27]-code) [i]✔
4Linear OA(2564, 664, F25, 27) (dual of [664, 600, 28]-code) [i]✔
5Linear OA(2557, 640, F25, 28) (dual of [640, 583, 29]-code) [i]✔
6Linear OA(2560, 643, F25, 29) (dual of [643, 583, 30]-code) [i]✔
7Linear OA(2563, 646, F25, 30) (dual of [646, 583, 31]-code) [i]✔
8Linear OA(2566, 649, F25, 31) (dual of [649, 583, 32]-code) [i]✔
9Linear OA(2569, 652, F25, 32) (dual of [652, 583, 33]-code) [i]✔
10Linear OA(2573, 655, F25, 33) (dual of [655, 582, 34]-code) [i]✔
11Linear OA(2572, 655, F25, 33) (dual of [655, 583, 34]-code) [i]✔
12Linear OA(2576, 658, F25, 34) (dual of [658, 582, 35]-code) [i]✔
13Linear OA(2579, 658, F25, 35) (dual of [658, 579, 36]-code) [i]✔
14Linear OA(2575, 658, F25, 34) (dual of [658, 583, 35]-code) [i]✔
15Linear OA(2579, 661, F25, 35) (dual of [661, 582, 36]-code) [i]✔
16Linear OA(2582, 661, F25, 36) (dual of [661, 579, 37]-code) [i]✔
17Linear OA(2578, 661, F25, 35) (dual of [661, 583, 36]-code) [i]✔
18Linear OA(2582, 664, F25, 36) (dual of [664, 582, 37]-code) [i]✔
19Linear OA(2585, 664, F25, 37) (dual of [664, 579, 38]-code) [i]✔
20Linear OA(2581, 664, F25, 36) (dual of [664, 583, 37]-code) [i]✔
21Linear OA(2585, 667, F25, 37) (dual of [667, 582, 38]-code) [i]✔
22Linear OA(2588, 667, F25, 38) (dual of [667, 579, 39]-code) [i]✔
23Linear OA(2584, 667, F25, 37) (dual of [667, 583, 38]-code) [i]✔
24Linear OA(2588, 670, F25, 38) (dual of [670, 582, 39]-code) [i]✔
25Linear OA(2591, 670, F25, 39) (dual of [670, 579, 40]-code) [i]✔
26Linear OA(2587, 670, F25, 38) (dual of [670, 583, 39]-code) [i]✔
27Linear OA(2591, 673, F25, 39) (dual of [673, 582, 40]-code) [i]✔
28Linear OA(2594, 673, F25, 40) (dual of [673, 579, 41]-code) [i]✔
29Linear OA(2590, 673, F25, 39) (dual of [673, 583, 40]-code) [i]✔
30Linear OA(2594, 676, F25, 40) (dual of [676, 582, 41]-code) [i]✔
31Linear OA(2597, 676, F25, 41) (dual of [676, 579, 42]-code) [i]✔
32Linear OA(2593, 676, F25, 40) (dual of [676, 583, 41]-code) [i]✔
33Linear OA(2598, 681, F25, 41) (dual of [681, 583, 42]-code) [i]✔
34Linear OA(2597, 679, F25, 41) (dual of [679, 582, 42]-code) [i]✔
35Linear OA(25101, 681, F25, 42) (dual of [681, 580, 43]-code) [i]✔
36Linear OA(25100, 679, F25, 42) (dual of [679, 579, 43]-code) [i]✔
37Linear OA(25103, 686, F25, 42) (dual of [686, 583, 43]-code) [i]✔