Information on Result #710207

Linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39

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(5100, 162, F5, 44) (dual of [162, 62, 45]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(577, 130, F5, 39) (dual of [130, 53, 40]-code) [i]✔
3Linear OA(5105, 167, F5, 45) (dual of [167, 62, 46]-code) [i]✔
4Linear OA(581, 134, F5, 40) (dual of [134, 53, 41]-code) [i]✔
5Linear OA(5104, 163, F5, 45) (dual of [163, 59, 46]-code) [i]✔
6Linear OA(5112, 171, F5, 48) (dual of [171, 59, 49]-code) [i]✔
7Linear OA(589, 142, F5, 43) (dual of [142, 53, 44]-code) [i]✔
8Linear OA(588, 138, F5, 43) (dual of [138, 50, 44]-code) [i]✔
9Linear OA(593, 146, F5, 44) (dual of [146, 53, 45]-code) [i]✔
10Linear OA(5109, 162, F5, 48) (dual of [162, 53, 49]-code) [i]✔
11Linear OA(598, 151, F5, 45) (dual of [151, 53, 46]-code) [i]✔
12Linear OA(5108, 159, F5, 48) (dual of [159, 51, 49]-code) [i]✔
13Linear OA(580, 130, F5, 40) (dual of [130, 50, 41]-code) [i]✔
14Linear OA(596, 146, F5, 45) (dual of [146, 50, 46]-code) [i]✔
15Linear OA(599, 149, F5, 47) (dual of [149, 50, 48]-code) [i]✔
16Linear OA(597, 147, F5, 46) (dual of [147, 50, 47]-code) [i]✔
17Linear OA(5103, 153, F5, 48) (dual of [153, 50, 49]-code) [i]✔