Information on Result #723420

Linear OA(2548, 624, F25, 25) (dual of [624, 576, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(596, 1248, F5, 25) (dual of [1248, 1152, 26]-code) [i]Trace Code
2Linear OA(2560, 650, F25, 25) (dual of [650, 590, 26]-code) [i](u, u+v)-Construction
3Linear OA(2561, 653, F25, 25) (dual of [653, 592, 26]-code) [i]
4Linear OA(2562, 655, F25, 25) (dual of [655, 593, 26]-code) [i]
5Linear OA(2563, 676, F25, 25) (dual of [676, 613, 26]-code) [i]
6Linear OA(2564, 690, F25, 25) (dual of [690, 626, 26]-code) [i]
7Linear OA(2565, 692, F25, 25) (dual of [692, 627, 26]-code) [i]
8Linear OA(2566, 694, F25, 25) (dual of [694, 628, 26]-code) [i]
9Linear OA(2567, 696, F25, 25) (dual of [696, 629, 26]-code) [i]
10Linear OA(2568, 701, F25, 25) (dual of [701, 633, 26]-code) [i]
11Linear OA(2569, 728, F25, 25) (dual of [728, 659, 26]-code) [i]
12Linear OA(2570, 832, F25, 25) (dual of [832, 762, 26]-code) [i]
13Linear OA(2569, 732, F25, 25) (dual of [732, 663, 26]-code) [i]
14Linear OA(2570, 836, F25, 25) (dual of [836, 766, 26]-code) [i]
15Linear OA(2568, 676, F25, 25) (dual of [676, 608, 26]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(2569, 679, F25, 25) (dual of [679, 610, 26]-code) [i]
17Linear OA(2570, 682, F25, 25) (dual of [682, 612, 26]-code) [i]
18Linear OA(2554, 659, F25, 25) (dual of [659, 605, 26]-code) [i]VarÅ¡amov–Edel Lengthening
19Linear OA(2555, 699, F25, 25) (dual of [699, 644, 26]-code) [i]
20Linear OA(2556, 769, F25, 25) (dual of [769, 713, 26]-code) [i]
21Linear OA(2557, 868, F25, 25) (dual of [868, 811, 26]-code) [i]
22Linear OA(2562, 662, F25, 25) (dual of [662, 600, 26]-code) [i]✔Construction XX with Cyclic Codes
23Linear OA(2561, 659, F25, 25) (dual of [659, 598, 26]-code) [i]✔
24Linear OA(2562, 665, F25, 25) (dual of [665, 603, 26]-code) [i]✔
25Linear OA(2561, 662, F25, 25) (dual of [662, 601, 26]-code) [i]✔
26Linear OA(2560, 659, F25, 25) (dual of [659, 599, 26]-code) [i]✔
27Linear OA(2559, 656, F25, 25) (dual of [656, 597, 26]-code) [i]✔
28Linear OA(2558, 653, F25, 25) (dual of [653, 595, 26]-code) [i]✔
29Linear OA(2577, 653, F25, 36) (dual of [653, 576, 37]-code) [i]✔
30Linear OA(2581, 657, F25, 37) (dual of [657, 576, 38]-code) [i]✔
31Linear OA(2580, 656, F25, 37) (dual of [656, 576, 38]-code) [i]✔
32Linear OA(2584, 660, F25, 38) (dual of [660, 576, 39]-code) [i]✔
33Linear OA(2583, 659, F25, 38) (dual of [659, 576, 39]-code) [i]✔
34Linear OA(2587, 663, F25, 39) (dual of [663, 576, 40]-code) [i]✔
35Linear OA(2586, 662, F25, 39) (dual of [662, 576, 40]-code) [i]✔
36Linear OA(2590, 666, F25, 40) (dual of [666, 576, 41]-code) [i]✔
37Linear OA(2589, 665, F25, 40) (dual of [665, 576, 41]-code) [i]✔
38Linear OA(2593, 669, F25, 41) (dual of [669, 576, 42]-code) [i]✔
39Linear OA(2592, 668, F25, 41) (dual of [668, 576, 42]-code) [i]✔
40Linear OA(2596, 672, F25, 42) (dual of [672, 576, 43]-code) [i]✔
41Linear OA(2595, 671, F25, 42) (dual of [671, 576, 43]-code) [i]✔
42Linear OA(2599, 675, F25, 43) (dual of [675, 576, 44]-code) [i]✔
43Linear OA(2598, 674, F25, 43) (dual of [674, 576, 44]-code) [i]✔
44Linear OA(25102, 678, F25, 44) (dual of [678, 576, 45]-code) [i]✔
45Linear OA(25106, 680, F25, 45) (dual of [680, 574, 46]-code) [i]✔
46Linear OA(25105, 678, F25, 45) (dual of [678, 573, 46]-code) [i]✔
47Linear OA(25106, 682, F25, 45) (dual of [682, 576, 46]-code) [i]✔
48Linear OOA(2548, 312, F25, 2, 25) (dual of [(312, 2), 576, 26]-NRT-code) [i]OOA Folding