Information on Result #617202

Linear OA(2590, 625, F25, 47) (dual of [625, 535, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47

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(2592, 627, F25, 48) (dual of [627, 535, 49]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2590, 627, F25, 47) (dual of [627, 537, 48]-code) [i]
3Linear OA(2595, 630, F25, 49) (dual of [630, 535, 50]-code) [i]
4Linear OA(2591, 630, F25, 47) (dual of [630, 539, 48]-code) [i]
5Linear OA(25100, 635, F25, 52) (dual of [635, 535, 53]-code) [i]
6Linear OA(2592, 633, F25, 47) (dual of [633, 541, 48]-code) [i]
7Linear OA(25102, 637, F25, 53) (dual of [637, 535, 54]-code) [i]
8Linear OA(2593, 636, F25, 47) (dual of [636, 543, 48]-code) [i]
9Linear OA(25105, 640, F25, 54) (dual of [640, 535, 55]-code) [i]
10Linear OA(2594, 639, F25, 47) (dual of [639, 545, 48]-code) [i]
11Linear OA(25108, 643, F25, 55) (dual of [643, 535, 56]-code) [i]
12Linear OA(2595, 642, F25, 47) (dual of [642, 547, 48]-code) [i]
13Linear OA(2596, 645, F25, 47) (dual of [645, 549, 48]-code) [i]
14Linear OA(2597, 648, F25, 47) (dual of [648, 551, 48]-code) [i]
15Linear OA(2598, 651, F25, 47) (dual of [651, 553, 48]-code) [i]
16Linear OA(25100, 654, F25, 47) (dual of [654, 554, 48]-code) [i]
17Linear OA(25101, 656, F25, 47) (dual of [656, 555, 48]-code) [i]
18Linear OA(25103, 660, F25, 47) (dual of [660, 557, 48]-code) [i]
19Linear OA(25104, 663, F25, 47) (dual of [663, 559, 48]-code) [i]
20Linear OA(25105, 666, F25, 47) (dual of [666, 561, 48]-code) [i]
21Linear OA(25106, 669, F25, 47) (dual of [669, 563, 48]-code) [i]
22Linear OA(25107, 672, F25, 47) (dual of [672, 565, 48]-code) [i]
23Linear OA(25108, 675, F25, 47) (dual of [675, 567, 48]-code) [i]
24Linear OA(25109, 677, F25, 47) (dual of [677, 568, 48]-code) [i]
25Linear OA(25110, 679, F25, 47) (dual of [679, 569, 48]-code) [i]