Information on Result #617216

Linear OA(2594, 625, F25, 49) (dual of [625, 531, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49

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(2598, 629, F25, 52) (dual of [629, 531, 53]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2594, 627, F25, 49) (dual of [627, 533, 50]-code) [i]✔
3Linear OA(25100, 631, F25, 53) (dual of [631, 531, 54]-code) [i]✔
4Linear OA(2595, 630, F25, 49) (dual of [630, 535, 50]-code) [i]✔
5Linear OA(25103, 634, F25, 54) (dual of [634, 531, 55]-code) [i]✔
6Linear OA(2596, 633, F25, 49) (dual of [633, 537, 50]-code) [i]✔
7Linear OA(25106, 637, F25, 55) (dual of [637, 531, 56]-code) [i]✔
8Linear OA(2597, 636, F25, 49) (dual of [636, 539, 50]-code) [i]✔
9Linear OA(25109, 640, F25, 56) (dual of [640, 531, 57]-code) [i]✔
10Linear OA(2598, 639, F25, 49) (dual of [639, 541, 50]-code) [i]✔
11Linear OA(2599, 642, F25, 49) (dual of [642, 543, 50]-code) [i]✔
12Linear OA(25100, 645, F25, 49) (dual of [645, 545, 50]-code) [i]✔
13Linear OA(25101, 648, F25, 49) (dual of [648, 547, 50]-code) [i]✔
14Linear OA(25102, 651, F25, 49) (dual of [651, 549, 50]-code) [i]✔
15Linear OA(25104, 654, F25, 49) (dual of [654, 550, 50]-code) [i]✔
16Linear OA(25105, 656, F25, 49) (dual of [656, 551, 50]-code) [i]✔
17Linear OA(25107, 660, F25, 49) (dual of [660, 553, 50]-code) [i]✔
18Linear OA(25108, 663, F25, 49) (dual of [663, 555, 50]-code) [i]✔
19Linear OA(25109, 666, F25, 49) (dual of [666, 557, 50]-code) [i]✔
20Linear OA(25110, 669, F25, 49) (dual of [669, 559, 50]-code) [i]✔