Information on Result #713313

Linear OA(728, 342, F7, 11) (dual of [342, 314, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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(728, 232, F7, 2, 11) (dual of [(232, 2), 436, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(728, 232, F7, 3, 11) (dual of [(232, 3), 668, 12]-NRT-code) [i]
3Digital (17, 28, 232)-net over F7 [i]
4Linear OA(736, 356, F7, 13) (dual of [356, 320, 14]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(731, 348, F7, 12) (dual of [348, 317, 13]-code) [i]✔
6Linear OA(740, 357, F7, 14) (dual of [357, 317, 15]-code) [i]✔
7Linear OA(735, 352, F7, 13) (dual of [352, 317, 14]-code) [i]✔
8Linear OA(739, 353, F7, 14) (dual of [353, 314, 15]-code) [i]✔
9Linear OA(756, 372, F7, 18) (dual of [372, 316, 19]-code) [i]✔
10Linear OA(734, 348, F7, 13) (dual of [348, 314, 14]-code) [i]✔
11Linear OA(738, 352, F7, 14) (dual of [352, 314, 15]-code) [i]✔
12Linear OA(759, 372, F7, 19) (dual of [372, 313, 20]-code) [i]✔
13Linear OA(764, 378, F7, 20) (dual of [378, 314, 21]-code) [i]✔
14Linear OA(763, 376, F7, 20) (dual of [376, 313, 21]-code) [i]✔
15Linear OA(766, 380, F7, 21) (dual of [380, 314, 22]-code) [i]✔