Information on Result #709880

Linear OA(531, 124, F5, 13) (dual of [124, 93, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14

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(531, 93, F5, 2, 13) (dual of [(93, 2), 155, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(531, 93, F5, 3, 13) (dual of [(93, 3), 248, 14]-NRT-code) [i]
3Digital (18, 31, 93)-net over F5 [i]
4Linear OA(539, 138, F5, 15) (dual of [138, 99, 16]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(534, 130, F5, 14) (dual of [130, 96, 15]-code) [i]✔
6Linear OA(538, 134, F5, 15) (dual of [134, 96, 16]-code) [i]✔
7Linear OA(550, 149, F5, 18) (dual of [149, 99, 19]-code) [i]✔
8Linear OA(555, 154, F5, 19) (dual of [154, 99, 20]-code) [i]✔
9Linear OA(554, 152, F5, 19) (dual of [152, 98, 20]-code) [i]✔
10Linear OA(549, 145, F5, 18) (dual of [145, 96, 19]-code) [i]✔
11Linear OA(553, 148, F5, 19) (dual of [148, 95, 20]-code) [i]✔
12Linear OA(537, 130, F5, 15) (dual of [130, 93, 16]-code) [i]✔
13Linear OA(552, 145, F5, 19) (dual of [145, 93, 20]-code) [i]✔
14Linear OA(558, 151, F5, 21) (dual of [151, 93, 22]-code) [i]✔