Information on Result #613611

Linear OA(522, 125, F5, 9) (dual of [125, 103, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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(527, 136, F5, 9) (dual of [136, 109, 10]-code) [i](u, u+v)-Construction
2Linear OA(528, 145, F5, 9) (dual of [145, 117, 10]-code) [i]
3Linear OA(526, 129, F5, 11) (dual of [129, 103, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(522, 128, F5, 9) (dual of [128, 106, 10]-code) [i]✔
5Linear OA(530, 131, F5, 12) (dual of [131, 101, 13]-code) [i]✔
6Linear OA(531, 134, F5, 12) (dual of [134, 103, 13]-code) [i]✔
7Linear OA(523, 132, F5, 9) (dual of [132, 109, 10]-code) [i]✔
8Linear OA(535, 138, F5, 13) (dual of [138, 103, 14]-code) [i]✔
9Linear OA(525, 137, F5, 9) (dual of [137, 112, 10]-code) [i]✔
10Linear OA(540, 143, F5, 14) (dual of [143, 103, 15]-code) [i]✔
11Linear OA(546, 149, F5, 16) (dual of [149, 103, 17]-code) [i]✔
12Linear OA(544, 146, F5, 15) (dual of [146, 102, 16]-code) [i]✔
13Linear OA(545, 146, F5, 16) (dual of [146, 101, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(539, 140, F5, 14) (dual of [140, 101, 15]-code) [i]✔
15Linear OA(536, 140, F5, 13) (dual of [140, 104, 14]-code) [i]✔
16Linear OA(524, 134, F5, 9) (dual of [134, 110, 10]-code) [i]✔
17Linear OA(527, 140, F5, 9) (dual of [140, 113, 10]-code) [i]✔
18Linear OA(523, 136, F5, 8) (dual of [136, 113, 9]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes