Information on Result #616871

Linear OA(2539, 625, F25, 20) (dual of [625, 586, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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:

ResultThis
result
only		Method
1Linear OA(578, 1250, F5, 20) (dual of [1250, 1172, 21]-code) [i]Trace Code
2Linear OA(2549, 651, F25, 20) (dual of [651, 602, 21]-code) [i](u, u+v)-Construction
3Linear OA(2550, 654, F25, 20) (dual of [654, 604, 21]-code) [i]
4Linear OA(2551, 656, F25, 20) (dual of [656, 605, 21]-code) [i]
5Linear OA(2552, 677, F25, 20) (dual of [677, 625, 21]-code) [i]
6Linear OA(2553, 691, F25, 20) (dual of [691, 638, 21]-code) [i]
7Linear OA(2554, 693, F25, 20) (dual of [693, 639, 21]-code) [i]
8Linear OA(2555, 695, F25, 20) (dual of [695, 640, 21]-code) [i]
9Linear OA(2556, 729, F25, 20) (dual of [729, 673, 21]-code) [i]
10Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(2552, 639, F25, 20) (dual of [639, 587, 21]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(2553, 641, F25, 20) (dual of [641, 588, 21]-code) [i]
13Linear OA(2554, 643, F25, 20) (dual of [643, 589, 21]-code) [i]
14Linear OA(2555, 677, F25, 20) (dual of [677, 622, 21]-code) [i]
15Linear OA(2556, 680, F25, 20) (dual of [680, 624, 21]-code) [i]
16Linear OA(2541, 627, F25, 21) (dual of [627, 586, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(2539, 627, F25, 20) (dual of [627, 588, 21]-code) [i]✔
18Linear OA(2544, 630, F25, 22) (dual of [630, 586, 23]-code) [i]✔
19Linear OA(2540, 630, F25, 20) (dual of [630, 590, 21]-code) [i]✔
20Linear OA(2547, 633, F25, 23) (dual of [633, 586, 24]-code) [i]✔
21Linear OA(2541, 633, F25, 20) (dual of [633, 592, 21]-code) [i]✔
22Linear OA(2550, 636, F25, 24) (dual of [636, 586, 25]-code) [i]✔
23Linear OA(2542, 636, F25, 20) (dual of [636, 594, 21]-code) [i]✔
24Linear OA(2554, 640, F25, 26) (dual of [640, 586, 27]-code) [i]✔
25Linear OA(2543, 639, F25, 20) (dual of [639, 596, 21]-code) [i]✔
26Linear OA(2556, 642, F25, 27) (dual of [642, 586, 28]-code) [i]✔
27Linear OA(2544, 642, F25, 20) (dual of [642, 598, 21]-code) [i]✔
28Linear OA(2559, 645, F25, 28) (dual of [645, 586, 29]-code) [i]✔
29Linear OA(2545, 645, F25, 20) (dual of [645, 600, 21]-code) [i]✔
30Linear OA(2562, 648, F25, 29) (dual of [648, 586, 30]-code) [i]✔
31Linear OA(2546, 648, F25, 20) (dual of [648, 602, 21]-code) [i]✔
32Linear OA(2565, 651, F25, 30) (dual of [651, 586, 31]-code) [i]✔
33Linear OA(2547, 651, F25, 20) (dual of [651, 604, 21]-code) [i]✔
34Linear OA(2569, 654, F25, 31) (dual of [654, 585, 32]-code) [i]✔
35Linear OA(2570, 656, F25, 31) (dual of [656, 586, 32]-code) [i]✔
36Linear OA(2549, 654, F25, 20) (dual of [654, 605, 21]-code) [i]✔
37Linear OA(2550, 656, F25, 20) (dual of [656, 606, 21]-code) [i]✔
38Linear OA(2574, 660, F25, 32) (dual of [660, 586, 33]-code) [i]✔
39Linear OA(2577, 663, F25, 33) (dual of [663, 586, 34]-code) [i]✔
40Linear OA(2580, 666, F25, 34) (dual of [666, 586, 35]-code) [i]✔
41Linear OA(2583, 669, F25, 35) (dual of [669, 586, 36]-code) [i]✔
42Linear OA(2586, 672, F25, 36) (dual of [672, 586, 37]-code) [i]✔
43Linear OA(2589, 675, F25, 37) (dual of [675, 586, 38]-code) [i]✔
44Linear OA(2592, 677, F25, 38) (dual of [677, 585, 39]-code) [i]✔
45Linear OA(2593, 679, F25, 38) (dual of [679, 586, 39]-code) [i]✔
46Linear OA(2596, 682, F25, 39) (dual of [682, 586, 40]-code) [i]✔
47Linear OA(2599, 685, F25, 40) (dual of [685, 586, 41]-code) [i]✔