Information on Result #724813

Linear OA(2576, 624, F25, 40) (dual of [624, 548, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(25110, 676, F25, 49) (dual of [676, 566, 50]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2578, 628, F25, 41) (dual of [628, 550, 42]-code) [i]✔
3Linear OA(25109, 673, F25, 49) (dual of [673, 564, 50]-code) [i]✔
4Linear OA(2581, 631, F25, 42) (dual of [631, 550, 43]-code) [i]✔
5Linear OA(25108, 670, F25, 49) (dual of [670, 562, 50]-code) [i]✔
6Linear OA(2584, 634, F25, 43) (dual of [634, 550, 44]-code) [i]✔
7Linear OA(25107, 667, F25, 49) (dual of [667, 560, 50]-code) [i]✔
8Linear OA(2587, 637, F25, 44) (dual of [637, 550, 45]-code) [i]✔
9Linear OA(25110, 667, F25, 50) (dual of [667, 557, 51]-code) [i]✔
10Linear OA(25106, 664, F25, 49) (dual of [664, 558, 50]-code) [i]✔
11Linear OA(2590, 640, F25, 45) (dual of [640, 550, 46]-code) [i]✔
12Linear OA(25109, 664, F25, 50) (dual of [664, 555, 51]-code) [i]✔
13Linear OA(25105, 661, F25, 49) (dual of [661, 556, 50]-code) [i]✔
14Linear OA(2593, 643, F25, 46) (dual of [643, 550, 47]-code) [i]✔
15Linear OA(25108, 661, F25, 50) (dual of [661, 553, 51]-code) [i]✔
16Linear OA(25104, 658, F25, 49) (dual of [658, 554, 50]-code) [i]✔
17Linear OA(2596, 646, F25, 47) (dual of [646, 550, 48]-code) [i]✔
18Linear OA(25107, 658, F25, 50) (dual of [658, 551, 51]-code) [i]✔
19Linear OA(25103, 655, F25, 49) (dual of [655, 552, 50]-code) [i]✔
20Linear OA(2599, 649, F25, 48) (dual of [649, 550, 49]-code) [i]✔
21Linear OA(25106, 655, F25, 50) (dual of [655, 549, 51]-code) [i]✔
22Linear OA(25102, 652, F25, 49) (dual of [652, 550, 50]-code) [i]✔
23Linear OA(2580, 628, F25, 42) (dual of [628, 548, 43]-code) [i]✔
24Linear OA(2583, 631, F25, 43) (dual of [631, 548, 44]-code) [i]✔
25Linear OA(2586, 634, F25, 44) (dual of [634, 548, 45]-code) [i]✔
26Linear OA(2589, 637, F25, 45) (dual of [637, 548, 46]-code) [i]✔
27Linear OA(2592, 640, F25, 46) (dual of [640, 548, 47]-code) [i]✔
28Linear OA(2595, 643, F25, 47) (dual of [643, 548, 48]-code) [i]✔
29Linear OA(2598, 646, F25, 48) (dual of [646, 548, 49]-code) [i]✔
30Linear OA(25101, 649, F25, 49) (dual of [649, 548, 50]-code) [i]✔
31Linear OA(25104, 652, F25, 50) (dual of [652, 548, 51]-code) [i]✔