Information on Result #709859

Linear OA(528, 124, F5, 12) (dual of [124, 96, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, 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.

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 OOA(528, 82, F5, 2, 12) (dual of [(82, 2), 136, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OA(531, 130, F5, 13) (dual of [130, 99, 14]-code) [i]✔Construction XX with Cyclic Codes
3Linear OA(535, 134, F5, 14) (dual of [134, 99, 15]-code) [i]✔
4Linear OA(540, 139, F5, 15) (dual of [139, 99, 16]-code) [i]✔
5Linear OA(546, 145, F5, 17) (dual of [145, 99, 18]-code) [i]✔
6Linear OA(551, 150, F5, 18) (dual of [150, 99, 19]-code) [i]✔
7Linear OA(550, 148, F5, 18) (dual of [148, 98, 19]-code) [i]✔
8Linear OA(555, 152, F5, 19) (dual of [152, 97, 20]-code) [i]✔
9Linear OA(534, 130, F5, 14) (dual of [130, 96, 15]-code) [i]✔
10Linear OA(538, 134, F5, 15) (dual of [134, 96, 16]-code) [i]✔
11Linear OA(549, 145, F5, 18) (dual of [145, 96, 19]-code) [i]✔
12Linear OA(553, 148, F5, 19) (dual of [148, 95, 20]-code) [i]✔
13Linear OA(553, 149, F5, 19) (dual of [149, 96, 20]-code) [i]✔
14Linear OA(557, 152, F5, 20) (dual of [152, 95, 21]-code) [i]✔
15Linear OA(557, 153, F5, 20) (dual of [153, 96, 21]-code) [i]✔