Information on Result #613954

Linear OA(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32

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(565, 128, F5, 33) (dual of [128, 63, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(562, 126, F5, 32) (dual of [126, 64, 33]-code) [i]✔
3Linear OA(569, 132, F5, 34) (dual of [132, 63, 35]-code) [i]✔
4Linear OA(570, 136, F5, 32) (dual of [136, 66, 33]-code) [i]✔
5Linear OA(571, 138, F5, 32) (dual of [138, 67, 33]-code) [i]✔
6Linear OA(577, 140, F5, 37) (dual of [140, 63, 38]-code) [i]✔
7Linear OA(575, 138, F5, 36) (dual of [138, 63, 37]-code) [i]✔
8Linear OA(573, 141, F5, 32) (dual of [141, 68, 33]-code) [i]✔
9Linear OA(574, 144, F5, 32) (dual of [144, 70, 33]-code) [i]✔
10Linear OA(581, 144, F5, 38) (dual of [144, 63, 39]-code) [i]✔
11Linear OA(575, 148, F5, 32) (dual of [148, 73, 33]-code) [i]✔
12Linear OA(586, 149, F5, 39) (dual of [149, 63, 40]-code) [i]✔
13Linear OA(576, 152, F5, 32) (dual of [152, 76, 33]-code) [i]✔
14Linear OA(570, 137, F5, 32) (dual of [137, 67, 33]-code) [i]✔
15Linear OA(573, 143, F5, 32) (dual of [143, 70, 33]-code) [i]✔
16Linear OA(590, 151, F5, 40) (dual of [151, 61, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(585, 146, F5, 39) (dual of [146, 61, 40]-code) [i]✔
18Linear OA(587, 151, F5, 39) (dual of [151, 64, 40]-code) [i]✔
19Linear OA(582, 146, F5, 38) (dual of [146, 64, 39]-code) [i]✔
20Linear OA(593, 159, F5, 38) (dual of [159, 66, 39]-code) [i]✔
21Linear OA(591, 156, F5, 38) (dual of [156, 65, 39]-code) [i]✔
22Linear OA(576, 137, F5, 37) (dual of [137, 61, 38]-code) [i]✔
23Linear OA(573, 134, F5, 35) (dual of [134, 61, 36]-code) [i]✔
24Linear OA(576, 140, F5, 36) (dual of [140, 64, 37]-code) [i]✔
25Linear OA(590, 157, F5, 37) (dual of [157, 67, 38]-code) [i]✔
26Linear OA(588, 154, F5, 37) (dual of [154, 66, 38]-code) [i]✔
27Linear OA(587, 152, F5, 37) (dual of [152, 65, 38]-code) [i]✔
28Linear OA(585, 150, F5, 36) (dual of [150, 65, 37]-code) [i]✔
29Linear OA(570, 134, F5, 34) (dual of [134, 64, 35]-code) [i]✔
30Linear OA(580, 146, F5, 34) (dual of [146, 66, 35]-code) [i]✔
31Linear OA(579, 144, F5, 34) (dual of [144, 65, 35]-code) [i]✔
32Linear OA(576, 142, F5, 33) (dual of [142, 66, 34]-code) [i]✔
33Linear OA(575, 140, F5, 33) (dual of [140, 65, 34]-code) [i]✔
34Linear OA(569, 134, F5, 32) (dual of [134, 65, 33]-code) [i]✔
35Linear OA(572, 140, F5, 32) (dual of [140, 68, 33]-code) [i]✔
36Linear OA(581, 158, F5, 32) (dual of [158, 77, 33]-code) [i]✔
37Linear OA(579, 157, F5, 32) (dual of [157, 78, 33]-code) [i]✔
38Linear OA(578, 155, F5, 32) (dual of [155, 77, 33]-code) [i]✔
39Linear OA(574, 145, F5, 32) (dual of [145, 71, 33]-code) [i]✔