Information on Result #713707

Linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(758, 273, F7, 2, 23) (dual of [(273, 2), 488, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(758, 273, F7, 3, 23) (dual of [(273, 3), 761, 24]-NRT-code) [i]
3Digital (35, 58, 273)-net over F7 [i]
4Linear OA(761, 348, F7, 24) (dual of [348, 287, 25]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(793, 391, F7, 30) (dual of [391, 298, 31]-code) [i]✔
6Linear OA(776, 366, F7, 27) (dual of [366, 290, 28]-code) [i]✔
7Linear OA(765, 352, F7, 25) (dual of [352, 287, 26]-code) [i]✔
8Linear OA(770, 357, F7, 26) (dual of [357, 287, 27]-code) [i]✔
9Linear OA(769, 353, F7, 26) (dual of [353, 284, 27]-code) [i]✔
10Linear OA(797, 393, F7, 31) (dual of [393, 296, 32]-code) [i]✔
11Linear OA(774, 361, F7, 27) (dual of [361, 287, 28]-code) [i]✔
12Linear OA(7101, 394, F7, 32) (dual of [394, 293, 33]-code) [i]✔
13Linear OA(795, 388, F7, 31) (dual of [388, 293, 32]-code) [i]✔
14Linear OA(788, 377, F7, 30) (dual of [377, 289, 31]-code) [i]✔
15Linear OA(779, 366, F7, 28) (dual of [366, 287, 29]-code) [i]✔
16Linear OA(799, 389, F7, 32) (dual of [389, 290, 33]-code) [i]✔
17Linear OA(787, 374, F7, 30) (dual of [374, 287, 31]-code) [i]✔
18Linear OA(786, 372, F7, 30) (dual of [372, 286, 31]-code) [i]✔
19Linear OA(791, 378, F7, 31) (dual of [378, 287, 32]-code) [i]✔
20Linear OA(764, 348, F7, 25) (dual of [348, 284, 26]-code) [i]✔
21Linear OA(768, 352, F7, 26) (dual of [352, 284, 27]-code) [i]✔
22Linear OA(772, 353, F7, 27) (dual of [353, 281, 28]-code) [i]✔
23Linear OA(777, 361, F7, 28) (dual of [361, 284, 29]-code) [i]✔
24Linear OA(789, 372, F7, 31) (dual of [372, 283, 32]-code) [i]✔
25Linear OA(794, 378, F7, 32) (dual of [378, 284, 33]-code) [i]✔
26Linear OA(772, 356, F7, 27) (dual of [356, 284, 28]-code) [i]✔
27Linear OA(776, 357, F7, 28) (dual of [357, 281, 29]-code) [i]✔
28Linear OA(793, 376, F7, 32) (dual of [376, 283, 33]-code) [i]✔
29Linear OA(798, 382, F7, 33) (dual of [382, 284, 34]-code) [i]✔
30Linear OA(7103, 387, F7, 34) (dual of [387, 284, 35]-code) [i]✔
31Linear OA(7102, 385, F7, 34) (dual of [385, 283, 35]-code) [i]✔
32Linear OA(7107, 391, F7, 35) (dual of [391, 284, 36]-code) [i]✔
33Linear OA(7109, 393, F7, 36) (dual of [393, 284, 37]-code) [i]✔
34Linear OA(7105, 389, F7, 35) (dual of [389, 284, 36]-code) [i]✔
35Linear OA(7108, 391, F7, 36) (dual of [391, 283, 37]-code) [i]✔