Information on Result #617160

Linear OA(2580, 625, F25, 42) (dual of [625, 545, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42

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(25101, 651, F25, 42) (dual of [651, 550, 43]-code) [i](u, u+v)-Construction
2Linear OA(25102, 654, F25, 42) (dual of [654, 552, 43]-code) [i]
3Linear OA(25103, 656, F25, 42) (dual of [656, 553, 43]-code) [i]
4Linear OA(25104, 677, F25, 42) (dual of [677, 573, 43]-code) [i]
5Linear OA(25105, 691, F25, 42) (dual of [691, 586, 43]-code) [i]
6Linear OA(25106, 693, F25, 42) (dual of [693, 587, 43]-code) [i]
7Linear OA(25107, 695, F25, 42) (dual of [695, 588, 43]-code) [i]
8Linear OA(25108, 697, F25, 42) (dual of [697, 589, 43]-code) [i]
9Linear OA(25109, 699, F25, 42) (dual of [699, 590, 43]-code) [i]
10Linear OA(25110, 729, F25, 42) (dual of [729, 619, 43]-code) [i]
11Linear OA(25109, 655, F25, 42) (dual of [655, 546, 43]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(25110, 657, F25, 42) (dual of [657, 547, 43]-code) [i]
13Linear OA(2582, 627, F25, 43) (dual of [627, 545, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
14Linear OA(2580, 627, F25, 42) (dual of [627, 547, 43]-code) [i]✔
15Linear OA(2585, 630, F25, 44) (dual of [630, 545, 45]-code) [i]✔
16Linear OA(2581, 630, F25, 42) (dual of [630, 549, 43]-code) [i]✔
17Linear OA(2588, 633, F25, 45) (dual of [633, 545, 46]-code) [i]✔
18Linear OA(2582, 633, F25, 42) (dual of [633, 551, 43]-code) [i]✔
19Linear OA(2591, 636, F25, 46) (dual of [636, 545, 47]-code) [i]✔
20Linear OA(2583, 636, F25, 42) (dual of [636, 553, 43]-code) [i]✔
21Linear OA(2594, 639, F25, 47) (dual of [639, 545, 48]-code) [i]✔
22Linear OA(2584, 639, F25, 42) (dual of [639, 555, 43]-code) [i]✔
23Linear OA(2597, 642, F25, 48) (dual of [642, 545, 49]-code) [i]✔
24Linear OA(2585, 642, F25, 42) (dual of [642, 557, 43]-code) [i]✔
25Linear OA(25100, 645, F25, 49) (dual of [645, 545, 50]-code) [i]✔
26Linear OA(2586, 645, F25, 42) (dual of [645, 559, 43]-code) [i]✔
27Linear OA(25105, 650, F25, 52) (dual of [650, 545, 53]-code) [i]✔
28Linear OA(2587, 648, F25, 42) (dual of [648, 561, 43]-code) [i]✔
29Linear OA(25107, 651, F25, 53) (dual of [651, 544, 54]-code) [i]✔
30Linear OA(25108, 653, F25, 53) (dual of [653, 545, 54]-code) [i]✔
31Linear OA(2588, 651, F25, 42) (dual of [651, 563, 43]-code) [i]✔
32Linear OA(2590, 654, F25, 42) (dual of [654, 564, 43]-code) [i]✔
33Linear OA(2591, 656, F25, 42) (dual of [656, 565, 43]-code) [i]✔
34Linear OA(2593, 660, F25, 42) (dual of [660, 567, 43]-code) [i]✔
35Linear OA(2594, 663, F25, 42) (dual of [663, 569, 43]-code) [i]✔
36Linear OA(2595, 666, F25, 42) (dual of [666, 571, 43]-code) [i]✔
37Linear OA(2596, 669, F25, 42) (dual of [669, 573, 43]-code) [i]✔
38Linear OA(2597, 672, F25, 42) (dual of [672, 575, 43]-code) [i]✔
39Linear OA(2598, 674, F25, 42) (dual of [674, 576, 43]-code) [i]✔
40Linear OA(25100, 677, F25, 42) (dual of [677, 577, 43]-code) [i]✔
41Linear OA(25101, 679, F25, 42) (dual of [679, 578, 43]-code) [i]✔
42Linear OA(25102, 682, F25, 42) (dual of [682, 580, 43]-code) [i]✔
43Linear OA(25103, 685, F25, 42) (dual of [685, 582, 43]-code) [i]✔
44Linear OA(25104, 688, F25, 42) (dual of [688, 584, 43]-code) [i]✔
45Linear OA(25109, 655, F25, 53) (dual of [655, 546, 54]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
46Linear OA(25106, 652, F25, 52) (dual of [652, 546, 53]-code) [i]✔