Information on Result #613659

Linear OA(528, 125, F5, 12) (dual of [125, 97, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,11], 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.

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(531, 128, F5, 13) (dual of [128, 97, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(528, 128, F5, 12) (dual of [128, 100, 13]-code) [i]✔
3Linear OA(535, 132, F5, 14) (dual of [132, 97, 15]-code) [i]✔
4Linear OA(530, 131, F5, 12) (dual of [131, 101, 13]-code) [i]✔
5Linear OA(531, 134, F5, 12) (dual of [134, 103, 13]-code) [i]✔
6Linear OA(541, 138, F5, 16) (dual of [138, 97, 17]-code) [i]✔
7Linear OA(532, 138, F5, 12) (dual of [138, 106, 13]-code) [i]✔
8Linear OA(546, 143, F5, 17) (dual of [143, 97, 18]-code) [i]✔
9Linear OA(534, 143, F5, 12) (dual of [143, 109, 13]-code) [i]✔
10Linear OA(550, 146, F5, 18) (dual of [146, 96, 19]-code) [i]✔
11Linear OA(551, 148, F5, 18) (dual of [148, 97, 19]-code) [i]✔
12Linear OA(535, 146, F5, 12) (dual of [146, 111, 13]-code) [i]✔
13Linear OA(555, 150, F5, 19) (dual of [150, 95, 20]-code) [i]✔
14Linear OA(545, 140, F5, 17) (dual of [140, 95, 18]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(542, 140, F5, 16) (dual of [140, 98, 17]-code) [i]✔
16Linear OA(536, 134, F5, 14) (dual of [134, 98, 15]-code) [i]✔
17Linear OA(533, 140, F5, 12) (dual of [140, 107, 13]-code) [i]✔