Information on Result #701329

Linear OA(716, 48, F7, 10) (dual of [48, 32, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(7107, 390, F7, 34) (dual of [390, 283, 35]-code) [i]Construction X with Cyclic Codes
2Linear OA(7101, 390, F7, 32) (dual of [390, 289, 33]-code) [i]
3Linear OA(719, 58, F7, 10) (dual of [58, 39, 11]-code) [i]✔Construction XX with Cyclic Codes
4Linear OA(718, 55, F7, 10) (dual of [55, 37, 11]-code) [i]✔
5Linear OA(718, 52, F7, 11) (dual of [52, 34, 12]-code) [i]✔
6Linear OA(721, 55, F7, 12) (dual of [55, 34, 13]-code) [i]✔
7Linear OA(725, 60, F7, 13) (dual of [60, 35, 14]-code) [i]✔
8Linear OA(724, 58, F7, 13) (dual of [58, 34, 14]-code) [i]✔
9Linear OA(720, 52, F7, 12) (dual of [52, 32, 13]-code) [i]✔
10Linear OA(723, 55, F7, 13) (dual of [55, 32, 14]-code) [i]✔
11Linear OA(726, 58, F7, 14) (dual of [58, 32, 15]-code) [i]✔
12Linear OA(7110, 386, F7, 37) (dual of [386, 276, 38]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(7107, 386, F7, 36) (dual of [386, 279, 37]-code) [i]
14Linear OA(795, 386, F7, 31) (dual of [386, 291, 32]-code) [i]
15Linear OA(792, 386, F7, 30) (dual of [386, 294, 31]-code) [i]
16Linear OA(789, 386, F7, 29) (dual of [386, 297, 30]-code) [i]
17Linear OA(7107, 389, F7, 35) (dual of [389, 282, 36]-code) [i]
18Linear OA(7104, 389, F7, 34) (dual of [389, 285, 35]-code) [i]
19Linear OA(7101, 389, F7, 33) (dual of [389, 288, 34]-code) [i]