Information on Result #614501

Linear OA(758, 343, F7, 23) (dual of [343, 285, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(769, 355, F7, 23) (dual of [355, 286, 24]-code) [i](u, u+v)-Construction
2Linear OA(770, 357, F7, 23) (dual of [357, 287, 24]-code) [i]
3Linear OA(771, 359, F7, 23) (dual of [359, 288, 24]-code) [i]
4Linear OA(772, 361, F7, 23) (dual of [361, 289, 24]-code) [i]
5Linear OA(761, 346, F7, 24) (dual of [346, 285, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(758, 346, F7, 23) (dual of [346, 288, 24]-code) [i]✔
7Linear OA(765, 350, F7, 25) (dual of [350, 285, 26]-code) [i]✔
8Linear OA(760, 351, F7, 23) (dual of [351, 291, 24]-code) [i]✔
9Linear OA(770, 355, F7, 26) (dual of [355, 285, 27]-code) [i]✔
10Linear OA(762, 356, F7, 23) (dual of [356, 294, 24]-code) [i]✔
11Linear OA(774, 359, F7, 27) (dual of [359, 285, 28]-code) [i]✔
12Linear OA(764, 361, F7, 23) (dual of [361, 297, 24]-code) [i]✔
13Linear OA(780, 365, F7, 29) (dual of [365, 285, 30]-code) [i]✔
14Linear OA(765, 365, F7, 23) (dual of [365, 300, 24]-code) [i]✔
15Linear OA(786, 369, F7, 30) (dual of [369, 283, 31]-code) [i]✔
16Linear OA(787, 372, F7, 30) (dual of [372, 285, 31]-code) [i]✔
17Linear OA(769, 372, F7, 23) (dual of [372, 303, 24]-code) [i]✔
18Linear OA(791, 376, F7, 31) (dual of [376, 285, 32]-code) [i]✔
19Linear OA(770, 376, F7, 23) (dual of [376, 306, 24]-code) [i]✔
20Linear OA(795, 380, F7, 32) (dual of [380, 285, 33]-code) [i]✔
21Linear OA(772, 381, F7, 23) (dual of [381, 309, 24]-code) [i]✔
22Linear OA(799, 384, F7, 33) (dual of [384, 285, 34]-code) [i]✔
23Linear OA(7104, 389, F7, 34) (dual of [389, 285, 35]-code) [i]✔
24Linear OA(786, 371, F7, 30) (dual of [371, 285, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(785, 369, F7, 30) (dual of [369, 284, 31]-code) [i]✔
26Linear OA(784, 367, F7, 30) (dual of [367, 283, 31]-code) [i]✔
27Linear OA(778, 361, F7, 28) (dual of [361, 283, 29]-code) [i]✔
28Linear OA(783, 371, F7, 29) (dual of [371, 288, 30]-code) [i]✔
29Linear OA(782, 369, F7, 29) (dual of [369, 287, 30]-code) [i]✔
30Linear OA(781, 367, F7, 29) (dual of [367, 286, 30]-code) [i]✔
31Linear OA(775, 361, F7, 27) (dual of [361, 286, 28]-code) [i]✔
32Linear OA(769, 352, F7, 26) (dual of [352, 283, 27]-code) [i]✔
33Linear OA(766, 352, F7, 25) (dual of [352, 286, 26]-code) [i]✔
34Linear OA(763, 358, F7, 23) (dual of [358, 295, 24]-code) [i]✔
35Linear OA(768, 371, F7, 23) (dual of [371, 303, 24]-code) [i]✔
36Linear OA(767, 369, F7, 23) (dual of [369, 302, 24]-code) [i]✔
37Linear OA(766, 367, F7, 23) (dual of [367, 301, 24]-code) [i]✔