Information on Result #710034

Linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,36], 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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(591, 163, F5, 37) (dual of [163, 72, 38]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(590, 160, F5, 37) (dual of [160, 70, 38]-code) [i]✔
3Linear OA(589, 158, F5, 37) (dual of [158, 69, 38]-code) [i]✔
4Linear OA(597, 160, F5, 43) (dual of [160, 63, 44]-code) [i]✔
5Linear OA(592, 154, F5, 42) (dual of [154, 62, 43]-code) [i]✔
6Linear OA(590, 152, F5, 41) (dual of [152, 62, 42]-code) [i]✔
7Linear OA(589, 148, F5, 41) (dual of [148, 59, 42]-code) [i]✔
8Linear OA(596, 158, F5, 43) (dual of [158, 62, 44]-code) [i]✔
9Linear OA(590, 149, F5, 42) (dual of [149, 59, 43]-code) [i]✔
10Linear OA(588, 147, F5, 41) (dual of [147, 59, 42]-code) [i]✔
11Linear OA(5101, 163, F5, 44) (dual of [163, 62, 45]-code) [i]✔
12Linear OA(594, 153, F5, 43) (dual of [153, 59, 44]-code) [i]✔
13Linear OA(588, 144, F5, 42) (dual of [144, 56, 43]-code) [i]✔
14Linear OA(586, 142, F5, 41) (dual of [142, 56, 42]-code) [i]✔
15Linear OA(592, 148, F5, 43) (dual of [148, 56, 44]-code) [i]✔
16Linear OA(5109, 170, F5, 46) (dual of [170, 61, 47]-code) [i]✔
17Linear OA(5106, 167, F5, 45) (dual of [167, 61, 46]-code) [i]✔
18Linear OA(5109, 169, F5, 47) (dual of [169, 60, 48]-code) [i]✔
19Linear OA(5107, 169, F5, 45) (dual of [169, 62, 46]-code) [i]✔
20Linear OA(5105, 165, F5, 45) (dual of [165, 60, 46]-code) [i]✔
21Linear OA(5108, 167, F5, 47) (dual of [167, 59, 48]-code) [i]✔
22Linear OA(5106, 165, F5, 46) (dual of [165, 59, 47]-code) [i]✔
23Linear OA(5103, 160, F5, 45) (dual of [160, 57, 46]-code) [i]✔
24Linear OA(5106, 162, F5, 47) (dual of [162, 56, 48]-code) [i]✔
25Linear OA(5104, 158, F5, 46) (dual of [158, 54, 47]-code) [i]✔
26Linear OA(5101, 155, F5, 45) (dual of [155, 54, 46]-code) [i]✔
27Linear OA(5104, 157, F5, 47) (dual of [157, 53, 48]-code) [i]✔
28Linear OA(5102, 154, F5, 46) (dual of [154, 52, 47]-code) [i]✔
29Linear OA(577, 130, F5, 39) (dual of [130, 53, 40]-code) [i]✔
30Linear OA(581, 134, F5, 40) (dual of [134, 53, 41]-code) [i]✔
31Linear OA(589, 142, F5, 43) (dual of [142, 53, 44]-code) [i]✔
32Linear OA(588, 138, F5, 43) (dual of [138, 50, 44]-code) [i]✔
33Linear OA(593, 146, F5, 44) (dual of [146, 53, 45]-code) [i]✔
34Linear OA(598, 151, F5, 45) (dual of [151, 53, 46]-code) [i]✔
35Linear OA(5108, 159, F5, 48) (dual of [159, 51, 49]-code) [i]✔
36Linear OA(592, 142, F5, 44) (dual of [142, 50, 45]-code) [i]✔
37Linear OA(597, 150, F5, 45) (dual of [150, 53, 46]-code) [i]✔
38Linear OA(5101, 154, F5, 47) (dual of [154, 53, 48]-code) [i]✔
39Linear OA(599, 152, F5, 46) (dual of [152, 53, 47]-code) [i]✔
40Linear OA(598, 148, F5, 46) (dual of [148, 50, 47]-code) [i]✔
41Linear OA(5105, 158, F5, 48) (dual of [158, 53, 49]-code) [i]✔
42Linear OA(5110, 163, F5, 49) (dual of [163, 53, 50]-code) [i]✔
43Linear OA(5109, 162, F5, 49) (dual of [162, 53, 50]-code) [i]✔
44Linear OOA(571, 62, F5, 2, 37) (dual of [(62, 2), 53, 38]-NRT-code) [i]OOA Folding
45Linear OOA(571, 41, F5, 3, 37) (dual of [(41, 3), 52, 38]-NRT-code) [i]