Information on Result #713265

Linear OA(731, 342, F7, 12) (dual of [342, 311, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13

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(731, 254, F7, 2, 12) (dual of [(254, 2), 477, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(731, 254, F7, 3, 12) (dual of [(254, 3), 731, 13]-NRT-code) [i]
3Digital (19, 31, 254)-net over F7 [i]
4Linear OA(737, 364, F7, 12) (dual of [364, 327, 13]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(739, 356, F7, 14) (dual of [356, 317, 15]-code) [i]✔
6Linear OA(734, 348, F7, 13) (dual of [348, 314, 14]-code) [i]✔
7Linear OA(738, 352, F7, 14) (dual of [352, 314, 15]-code) [i]✔
8Linear OA(760, 376, F7, 19) (dual of [376, 316, 20]-code) [i]✔
9Linear OA(759, 372, F7, 19) (dual of [372, 313, 20]-code) [i]✔
10Linear OA(764, 378, F7, 20) (dual of [378, 314, 21]-code) [i]✔
11Linear OA(737, 348, F7, 14) (dual of [348, 311, 15]-code) [i]✔
12Linear OA(762, 372, F7, 20) (dual of [372, 310, 21]-code) [i]✔
13Linear OA(767, 378, F7, 21) (dual of [378, 311, 22]-code) [i]✔
14Linear OA(755, 366, F7, 19) (dual of [366, 311, 20]-code) [i]✔
15Linear OA(768, 379, F7, 22) (dual of [379, 311, 23]-code) [i]✔
16Linear OA(764, 375, F7, 21) (dual of [375, 311, 22]-code) [i]✔
17Linear OA(767, 377, F7, 22) (dual of [377, 310, 23]-code) [i]✔
18Linear OA(772, 383, F7, 23) (dual of [383, 311, 24]-code) [i]✔
19Linear OA(776, 384, F7, 24) (dual of [384, 308, 25]-code) [i]✔