Information on Result #685272

Linear OA(773, 343, F7, 29) (dual of [343, 270, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(776, 346, F7, 30) (dual of [346, 270, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(774, 347, F7, 29) (dual of [347, 273, 30]-code) [i]✔
3Linear OA(775, 351, F7, 29) (dual of [351, 276, 30]-code) [i]✔
4Linear OA(785, 355, F7, 32) (dual of [355, 270, 33]-code) [i]✔
5Linear OA(777, 356, F7, 29) (dual of [356, 279, 30]-code) [i]✔
6Linear OA(779, 361, F7, 29) (dual of [361, 282, 30]-code) [i]✔
7Linear OA(777, 359, F7, 28) (dual of [359, 282, 29]-code) [i]✔
8Linear OA(794, 364, F7, 34) (dual of [364, 270, 35]-code) [i]✔
9Linear OA(780, 365, F7, 29) (dual of [365, 285, 30]-code) [i]✔
10Linear OA(7101, 369, F7, 36) (dual of [369, 268, 37]-code) [i]✔
11Linear OA(7102, 372, F7, 36) (dual of [372, 270, 37]-code) [i]✔
12Linear OA(783, 369, F7, 29) (dual of [369, 286, 30]-code) [i]✔
13Linear OA(784, 372, F7, 29) (dual of [372, 288, 30]-code) [i]✔
14Linear OA(780, 368, F7, 28) (dual of [368, 288, 29]-code) [i]✔
15Linear OA(7106, 376, F7, 37) (dual of [376, 270, 38]-code) [i]✔
16Linear OA(786, 377, F7, 29) (dual of [377, 291, 30]-code) [i]✔
17Linear OA(7110, 380, F7, 38) (dual of [380, 270, 39]-code) [i]✔
18Linear OA(789, 386, F7, 29) (dual of [386, 297, 30]-code) [i]✔
19Linear OA(787, 384, F7, 28) (dual of [384, 297, 29]-code) [i]✔
20Linear OA(778, 360, F7, 29) (dual of [360, 282, 30]-code) [i]✔
21Linear OA(7101, 371, F7, 36) (dual of [371, 270, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(7100, 369, F7, 36) (dual of [369, 269, 37]-code) [i]✔
23Linear OA(799, 367, F7, 36) (dual of [367, 268, 37]-code) [i]✔
24Linear OA(7102, 375, F7, 35) (dual of [375, 273, 36]-code) [i]✔
25Linear OA(7101, 373, F7, 35) (dual of [373, 272, 36]-code) [i]✔
26Linear OA(793, 361, F7, 34) (dual of [361, 268, 35]-code) [i]✔
27Linear OA(798, 371, F7, 34) (dual of [371, 273, 35]-code) [i]✔
28Linear OA(797, 369, F7, 34) (dual of [369, 272, 35]-code) [i]✔
29Linear OA(796, 367, F7, 34) (dual of [367, 271, 35]-code) [i]✔
30Linear OA(784, 352, F7, 32) (dual of [352, 268, 33]-code) [i]✔
31Linear OA(787, 358, F7, 32) (dual of [358, 271, 33]-code) [i]✔
32Linear OA(778, 358, F7, 29) (dual of [358, 280, 30]-code) [i]✔
33Linear OA(778, 361, F7, 28) (dual of [361, 283, 29]-code) [i]✔
34Linear OA(783, 371, F7, 29) (dual of [371, 288, 30]-code) [i]✔
35Linear OA(782, 369, F7, 29) (dual of [369, 287, 30]-code) [i]✔
36Linear OA(781, 367, F7, 29) (dual of [367, 286, 30]-code) [i]✔
37Linear OA(784, 375, F7, 28) (dual of [375, 291, 29]-code) [i]✔
38Linear OA(783, 373, F7, 28) (dual of [373, 290, 29]-code) [i]✔
39Linear OA(782, 371, F7, 28) (dual of [371, 289, 29]-code) [i]✔