Information on Result #614076

Linear OA(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47

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(589, 125, F5, 46) (dual of [125, 36, 47]-code) [i]Strength Reduction
2Linear OA(590, 126, F5, 47) (dual of [126, 36, 48]-code) [i]Code Embedding in Larger Space
3Linear OA(587, 123, F5, 45) (dual of [123, 36, 46]-code) [i]Truncation
4Linear OA(592, 128, F5, 48) (dual of [128, 36, 49]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(591, 130, F5, 47) (dual of [130, 39, 48]-code) [i]✔
6Linear OA(596, 132, F5, 49) (dual of [132, 36, 50]-code) [i]✔
7Linear OA(590, 132, F5, 45) (dual of [132, 42, 46]-code) [i]✔
8Linear OA(593, 135, F5, 47) (dual of [135, 42, 48]-code) [i]✔
9Linear OA(591, 131, F5, 46) (dual of [131, 40, 47]-code) [i]✔
10Linear OA(5115, 151, F5, 61) (dual of [151, 36, 62]-code) [i]✔
11Linear OA(595, 140, F5, 47) (dual of [140, 45, 48]-code) [i]✔
12Linear OA(593, 138, F5, 46) (dual of [138, 45, 47]-code) [i]✔
13Linear OA(599, 147, F5, 47) (dual of [147, 48, 48]-code) [i]✔
14Linear OA(596, 144, F5, 45) (dual of [144, 48, 46]-code) [i]✔
15Linear OA(5101, 152, F5, 47) (dual of [152, 51, 48]-code) [i]✔
16Linear OA(599, 150, F5, 46) (dual of [150, 51, 47]-code) [i]✔
17Linear OA(5106, 159, F5, 47) (dual of [159, 53, 48]-code) [i]✔
18Linear OA(5107, 161, F5, 47) (dual of [161, 54, 48]-code) [i]✔
19Linear OA(5105, 159, F5, 46) (dual of [159, 54, 47]-code) [i]✔
20Linear OA(5109, 145, F5, 56) (dual of [145, 36, 57]-code) [i]✔
21Linear OA(5106, 142, F5, 54) (dual of [142, 36, 55]-code) [i]✔
22Linear OA(5118, 153, F5, 62) (dual of [153, 35, 63]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(5117, 151, F5, 62) (dual of [151, 34, 63]-code) [i]✔
24Linear OA(5118, 154, F5, 62) (dual of [154, 36, 63]-code) [i]✔
25Linear OA(5117, 152, F5, 62) (dual of [152, 35, 63]-code) [i]✔
26Linear OA(5116, 150, F5, 62) (dual of [150, 34, 63]-code) [i]✔
27Linear OA(599, 136, F5, 49) (dual of [136, 37, 50]-code) [i]✔
28Linear OA(595, 132, F5, 48) (dual of [132, 37, 49]-code) [i]✔
29Linear OA(592, 132, F5, 47) (dual of [132, 40, 48]-code) [i]✔
30Linear OA(594, 137, F5, 47) (dual of [137, 43, 48]-code) [i]✔
31Linear OA(591, 134, F5, 45) (dual of [134, 43, 46]-code) [i]✔
32Linear OA(597, 144, F5, 46) (dual of [144, 47, 47]-code) [i]✔
33Linear OA(598, 144, F5, 47) (dual of [144, 46, 48]-code) [i]✔
34Linear OA(596, 142, F5, 46) (dual of [142, 46, 47]-code) [i]✔
35Linear OA(5100, 149, F5, 47) (dual of [149, 49, 48]-code) [i]✔
36Linear OA(597, 146, F5, 45) (dual of [146, 49, 46]-code) [i]✔
37Linear OA(5104, 157, F5, 46) (dual of [157, 53, 47]-code) [i]✔
38Linear OA(599, 151, F5, 45) (dual of [151, 52, 46]-code) [i]✔