Information on Result #614486

Linear OA(755, 343, F7, 22) (dual of [343, 288, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(766, 355, F7, 22) (dual of [355, 289, 23]-code) [i](u, u+v)-Construction
2Linear OA(767, 357, F7, 22) (dual of [357, 290, 23]-code) [i]
3Linear OA(768, 359, F7, 22) (dual of [359, 291, 23]-code) [i]
4Linear OA(759, 367, F7, 22) (dual of [367, 308, 23]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(760, 391, F7, 22) (dual of [391, 331, 23]-code) [i]
6Linear OA(761, 424, F7, 22) (dual of [424, 363, 23]-code) [i]
7Linear OA(758, 346, F7, 23) (dual of [346, 288, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(756, 347, F7, 22) (dual of [347, 291, 23]-code) [i]✔
9Linear OA(762, 350, F7, 24) (dual of [350, 288, 25]-code) [i]✔
10Linear OA(757, 351, F7, 22) (dual of [351, 294, 23]-code) [i]✔
11Linear OA(767, 355, F7, 25) (dual of [355, 288, 26]-code) [i]✔
12Linear OA(759, 356, F7, 22) (dual of [356, 297, 23]-code) [i]✔
13Linear OA(771, 359, F7, 26) (dual of [359, 288, 27]-code) [i]✔
14Linear OA(761, 361, F7, 22) (dual of [361, 300, 23]-code) [i]✔
15Linear OA(776, 364, F7, 27) (dual of [364, 288, 28]-code) [i]✔
16Linear OA(762, 365, F7, 22) (dual of [365, 303, 23]-code) [i]✔
17Linear OA(783, 369, F7, 29) (dual of [369, 286, 30]-code) [i]✔
18Linear OA(784, 372, F7, 29) (dual of [372, 288, 30]-code) [i]✔
19Linear OA(780, 368, F7, 28) (dual of [368, 288, 29]-code) [i]✔
20Linear OA(765, 369, F7, 22) (dual of [369, 304, 23]-code) [i]✔
21Linear OA(766, 372, F7, 22) (dual of [372, 306, 23]-code) [i]✔
22Linear OA(788, 376, F7, 30) (dual of [376, 288, 31]-code) [i]✔
23Linear OA(768, 377, F7, 22) (dual of [377, 309, 23]-code) [i]✔
24Linear OA(792, 380, F7, 31) (dual of [380, 288, 32]-code) [i]✔
25Linear OA(796, 384, F7, 32) (dual of [384, 288, 33]-code) [i]✔
26Linear OA(7101, 389, F7, 33) (dual of [389, 288, 34]-code) [i]✔
27Linear OA(7106, 392, F7, 34) (dual of [392, 286, 35]-code) [i]✔
28Linear OA(760, 360, F7, 22) (dual of [360, 300, 23]-code) [i]✔
29Linear OA(783, 371, F7, 29) (dual of [371, 288, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(782, 369, F7, 29) (dual of [369, 287, 30]-code) [i]✔
31Linear OA(781, 367, F7, 29) (dual of [367, 286, 30]-code) [i]✔
32Linear OA(784, 375, F7, 28) (dual of [375, 291, 29]-code) [i]✔
33Linear OA(783, 373, F7, 28) (dual of [373, 290, 29]-code) [i]✔
34Linear OA(782, 371, F7, 28) (dual of [371, 289, 29]-code) [i]✔
35Linear OA(775, 361, F7, 27) (dual of [361, 286, 28]-code) [i]✔
36Linear OA(780, 371, F7, 27) (dual of [371, 291, 28]-code) [i]✔
37Linear OA(779, 369, F7, 27) (dual of [369, 290, 28]-code) [i]✔
38Linear OA(778, 367, F7, 27) (dual of [367, 289, 28]-code) [i]✔
39Linear OA(773, 362, F7, 26) (dual of [362, 289, 27]-code) [i]✔
40Linear OA(766, 352, F7, 25) (dual of [352, 286, 26]-code) [i]✔
41Linear OA(769, 358, F7, 25) (dual of [358, 289, 26]-code) [i]✔
42Linear OA(764, 353, F7, 24) (dual of [353, 289, 25]-code) [i]✔
43Linear OA(760, 358, F7, 22) (dual of [358, 298, 23]-code) [i]✔
44Linear OA(765, 371, F7, 22) (dual of [371, 306, 23]-code) [i]✔
45Linear OA(764, 369, F7, 22) (dual of [369, 305, 23]-code) [i]✔
46Linear OA(763, 367, F7, 22) (dual of [367, 304, 23]-code) [i]✔
47Linear OA(766, 375, F7, 21) (dual of [375, 309, 22]-code) [i]✔
48Linear OA(765, 373, F7, 21) (dual of [373, 308, 22]-code) [i]✔