Information on Result #614009

Linear OA(574, 125, F5, 38) (dual of [125, 51, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38

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(577, 128, F5, 39) (dual of [128, 51, 40]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(574, 128, F5, 38) (dual of [128, 54, 39]-code) [i]✔
3Linear OA(581, 132, F5, 40) (dual of [132, 51, 41]-code) [i]✔
4Linear OA(584, 135, F5, 42) (dual of [135, 51, 43]-code) [i]✔
5Linear OA(582, 131, F5, 41) (dual of [131, 49, 42]-code) [i]✔
6Linear OA(578, 135, F5, 38) (dual of [135, 57, 39]-code) [i]✔
7Linear OA(589, 140, F5, 43) (dual of [140, 51, 44]-code) [i]✔
8Linear OA(580, 140, F5, 38) (dual of [140, 60, 39]-code) [i]✔
9Linear OA(593, 144, F5, 44) (dual of [144, 51, 45]-code) [i]✔
10Linear OA(581, 144, F5, 38) (dual of [144, 63, 39]-code) [i]✔
11Linear OA(5101, 152, F5, 47) (dual of [152, 51, 48]-code) [i]✔
12Linear OA(599, 150, F5, 46) (dual of [150, 51, 47]-code) [i]✔
13Linear OA(583, 147, F5, 38) (dual of [147, 64, 39]-code) [i]✔
14Linear OA(5100, 149, F5, 47) (dual of [149, 49, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(597, 146, F5, 45) (dual of [146, 49, 46]-code) [i]✔
16Linear OA(5104, 157, F5, 46) (dual of [157, 53, 47]-code) [i]✔
17Linear OA(599, 151, F5, 45) (dual of [151, 52, 46]-code) [i]✔
18Linear OA(594, 146, F5, 44) (dual of [146, 52, 45]-code) [i]✔
19Linear OA(5101, 156, F5, 44) (dual of [156, 55, 45]-code) [i]✔
20Linear OA(588, 137, F5, 43) (dual of [137, 49, 44]-code) [i]✔
21Linear OA(583, 132, F5, 42) (dual of [132, 49, 43]-code) [i]✔
22Linear OA(585, 137, F5, 42) (dual of [137, 52, 43]-code) [i]✔
23Linear OA(582, 134, F5, 40) (dual of [134, 52, 41]-code) [i]✔
24Linear OA(577, 132, F5, 38) (dual of [132, 55, 39]-code) [i]✔
25Linear OA(579, 137, F5, 38) (dual of [137, 58, 39]-code) [i]✔
26Linear OA(582, 146, F5, 38) (dual of [146, 64, 39]-code) [i]✔
27Linear OA(593, 159, F5, 38) (dual of [159, 66, 39]-code) [i]✔
28Linear OA(591, 156, F5, 38) (dual of [156, 65, 39]-code) [i]✔
29Linear OA(593, 160, F5, 38) (dual of [160, 67, 39]-code) [i]✔
30Linear OA(592, 158, F5, 38) (dual of [158, 66, 39]-code) [i]✔
31Linear OA(590, 155, F5, 38) (dual of [155, 65, 39]-code) [i]✔
32Linear OA(588, 153, F5, 37) (dual of [153, 65, 38]-code) [i]✔