Information on Result #614436

Linear OA(746, 343, F7, 18) (dual of [343, 297, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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(755, 353, F7, 18) (dual of [353, 298, 19]-code) [i](u, u+v)-Construction
2Linear OA(756, 355, F7, 18) (dual of [355, 299, 19]-code) [i]
3Linear OA(749, 346, F7, 19) (dual of [346, 297, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(746, 346, F7, 18) (dual of [346, 300, 19]-code) [i]✔
5Linear OA(753, 350, F7, 20) (dual of [350, 297, 21]-code) [i]✔
6Linear OA(747, 350, F7, 18) (dual of [350, 303, 19]-code) [i]✔
7Linear OA(759, 356, F7, 22) (dual of [356, 297, 23]-code) [i]✔
8Linear OA(749, 355, F7, 18) (dual of [355, 306, 19]-code) [i]✔
9Linear OA(764, 361, F7, 23) (dual of [361, 297, 24]-code) [i]✔
10Linear OA(752, 361, F7, 18) (dual of [361, 309, 19]-code) [i]✔
11Linear OA(768, 365, F7, 24) (dual of [365, 297, 25]-code) [i]✔
12Linear OA(753, 365, F7, 18) (dual of [365, 312, 19]-code) [i]✔
13Linear OA(775, 372, F7, 25) (dual of [372, 297, 26]-code) [i]✔
14Linear OA(756, 369, F7, 18) (dual of [369, 313, 19]-code) [i]✔
15Linear OA(779, 376, F7, 26) (dual of [376, 297, 27]-code) [i]✔
16Linear OA(783, 380, F7, 27) (dual of [380, 297, 28]-code) [i]✔
17Linear OA(789, 386, F7, 29) (dual of [386, 297, 30]-code) [i]✔
18Linear OA(787, 384, F7, 28) (dual of [384, 297, 29]-code) [i]✔
19Linear OA(774, 371, F7, 25) (dual of [371, 297, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(773, 369, F7, 25) (dual of [369, 296, 26]-code) [i]✔
21Linear OA(772, 367, F7, 25) (dual of [367, 295, 26]-code) [i]✔
22Linear OA(771, 371, F7, 24) (dual of [371, 300, 25]-code) [i]✔
23Linear OA(770, 369, F7, 24) (dual of [369, 299, 25]-code) [i]✔
24Linear OA(769, 367, F7, 24) (dual of [367, 298, 25]-code) [i]✔
25Linear OA(763, 358, F7, 23) (dual of [358, 295, 24]-code) [i]✔
26Linear OA(760, 358, F7, 22) (dual of [358, 298, 23]-code) [i]✔
27Linear OA(754, 352, F7, 20) (dual of [352, 298, 21]-code) [i]✔
28Linear OA(748, 352, F7, 18) (dual of [352, 304, 19]-code) [i]✔
29Linear OA(751, 358, F7, 18) (dual of [358, 307, 19]-code) [i]✔
30Linear OA(756, 371, F7, 18) (dual of [371, 315, 19]-code) [i]✔
31Linear OA(755, 369, F7, 18) (dual of [369, 314, 19]-code) [i]✔
32Linear OA(754, 367, F7, 18) (dual of [367, 313, 19]-code) [i]✔