Information on Result #614464

Linear OA(752, 343, F7, 20) (dual of [343, 291, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(762, 354, F7, 20) (dual of [354, 292, 21]-code) [i](u, u+v)-Construction
2Linear OA(763, 356, F7, 20) (dual of [356, 293, 21]-code) [i]
3Linear OA(764, 358, F7, 20) (dual of [358, 294, 21]-code) [i]
4Linear OA(756, 347, F7, 22) (dual of [347, 291, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(752, 346, F7, 20) (dual of [346, 294, 21]-code) [i]✔
6Linear OA(760, 351, F7, 23) (dual of [351, 291, 24]-code) [i]✔
7Linear OA(753, 350, F7, 20) (dual of [350, 297, 21]-code) [i]✔
8Linear OA(765, 356, F7, 24) (dual of [356, 291, 25]-code) [i]✔
9Linear OA(755, 355, F7, 20) (dual of [355, 300, 21]-code) [i]✔
10Linear OA(770, 361, F7, 25) (dual of [361, 291, 26]-code) [i]✔
11Linear OA(756, 359, F7, 20) (dual of [359, 303, 21]-code) [i]✔
12Linear OA(774, 365, F7, 26) (dual of [365, 291, 27]-code) [i]✔
13Linear OA(758, 364, F7, 20) (dual of [364, 306, 21]-code) [i]✔
14Linear OA(781, 372, F7, 27) (dual of [372, 291, 28]-code) [i]✔
15Linear OA(763, 372, F7, 20) (dual of [372, 309, 21]-code) [i]✔
16Linear OA(786, 377, F7, 29) (dual of [377, 291, 30]-code) [i]✔
17Linear OA(764, 376, F7, 20) (dual of [376, 312, 21]-code) [i]✔
18Linear OA(790, 381, F7, 30) (dual of [381, 291, 31]-code) [i]✔
19Linear OA(795, 386, F7, 31) (dual of [386, 291, 32]-code) [i]✔
20Linear OA(7100, 391, F7, 32) (dual of [391, 291, 33]-code) [i]✔
21Linear OA(784, 375, F7, 28) (dual of [375, 291, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(783, 373, F7, 28) (dual of [373, 290, 29]-code) [i]✔
23Linear OA(782, 371, F7, 28) (dual of [371, 289, 29]-code) [i]✔
24Linear OA(780, 371, F7, 27) (dual of [371, 291, 28]-code) [i]✔
25Linear OA(779, 369, F7, 27) (dual of [369, 290, 28]-code) [i]✔
26Linear OA(778, 367, F7, 27) (dual of [367, 289, 28]-code) [i]✔
27Linear OA(773, 362, F7, 26) (dual of [362, 289, 27]-code) [i]✔
28Linear OA(777, 371, F7, 26) (dual of [371, 294, 27]-code) [i]✔
29Linear OA(776, 369, F7, 26) (dual of [369, 293, 27]-code) [i]✔
30Linear OA(775, 367, F7, 26) (dual of [367, 292, 27]-code) [i]✔
31Linear OA(769, 358, F7, 25) (dual of [358, 289, 26]-code) [i]✔
32Linear OA(764, 353, F7, 24) (dual of [353, 289, 25]-code) [i]✔
33Linear OA(766, 358, F7, 24) (dual of [358, 292, 25]-code) [i]✔
34Linear OA(754, 352, F7, 20) (dual of [352, 298, 21]-code) [i]✔
35Linear OA(757, 361, F7, 20) (dual of [361, 304, 21]-code) [i]✔
36Linear OA(762, 371, F7, 20) (dual of [371, 309, 21]-code) [i]✔
37Linear OA(761, 369, F7, 20) (dual of [369, 308, 21]-code) [i]✔
38Linear OA(760, 367, F7, 20) (dual of [367, 307, 21]-code) [i]✔