Information on Result #713224

Linear OA(725, 342, F7, 10) (dual of [342, 317, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11

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(725, 211, F7, 2, 10) (dual of [(211, 2), 397, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(725, 211, F7, 3, 10) (dual of [(211, 3), 608, 11]-NRT-code) [i]
3Digital (15, 25, 211)-net over F7 [i]
4Linear OA(729, 357, F7, 10) (dual of [357, 328, 11]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(728, 355, F7, 10) (dual of [355, 327, 11]-code) [i]✔
6Linear OA(733, 356, F7, 12) (dual of [356, 323, 13]-code) [i]✔
7Linear OA(728, 348, F7, 11) (dual of [348, 320, 12]-code) [i]✔
8Linear OA(737, 357, F7, 13) (dual of [357, 320, 14]-code) [i]✔
9Linear OA(732, 352, F7, 12) (dual of [352, 320, 13]-code) [i]✔
10Linear OA(742, 365, F7, 14) (dual of [365, 323, 15]-code) [i]✔
11Linear OA(736, 353, F7, 13) (dual of [353, 317, 14]-code) [i]✔
12Linear OA(741, 361, F7, 14) (dual of [361, 320, 15]-code) [i]✔
13Linear OA(731, 348, F7, 12) (dual of [348, 317, 13]-code) [i]✔
14Linear OA(735, 352, F7, 13) (dual of [352, 317, 14]-code) [i]✔
15Linear OA(739, 353, F7, 14) (dual of [353, 314, 15]-code) [i]✔
16Linear OA(756, 372, F7, 18) (dual of [372, 316, 19]-code) [i]✔
17Linear OA(739, 356, F7, 14) (dual of [356, 317, 15]-code) [i]✔
18Linear OA(760, 376, F7, 19) (dual of [376, 316, 20]-code) [i]✔