Information on Result #621722

Linear OA(2113, 127, F2, 55) (dual of [127, 14, 56]-code), using code C2 for u = 7 by de Boer and Brouwer

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2121, 135, F2, 57) (dual of [135, 14, 58]-code) [i]Construction X with De Boer–Brouwer Codes
2Linear OA(2130, 139, F2, 63) (dual of [139, 9, 64]-code) [i]
3Linear OA(2131, 143, F2, 63) (dual of [143, 12, 64]-code) [i]
4Linear OA(2132, 146, F2, 63) (dual of [146, 14, 64]-code) [i]
5Linear OA(2127, 136, F2, 61) (dual of [136, 9, 62]-code) [i]
6Linear OA(2128, 139, F2, 61) (dual of [139, 11, 62]-code) [i]
7Linear OA(2129, 143, F2, 61) (dual of [143, 14, 62]-code) [i]
8Linear OA(2124, 135, F2, 59) (dual of [135, 11, 60]-code) [i]
9Linear OA(2125, 139, F2, 59) (dual of [139, 14, 60]-code) [i]
10Linear OA(2114, 135, F2, 49) (dual of [135, 21, 50]-code) [i]
11Linear OA(2123, 139, F2, 55) (dual of [139, 16, 56]-code) [i]
12Linear OA(2124, 143, F2, 55) (dual of [143, 19, 56]-code) [i]
13Linear OA(2125, 146, F2, 55) (dual of [146, 21, 56]-code) [i]
14Linear OA(2120, 136, F2, 53) (dual of [136, 16, 54]-code) [i]
15Linear OA(2121, 139, F2, 53) (dual of [139, 18, 54]-code) [i]
16Linear OA(2122, 143, F2, 53) (dual of [143, 21, 54]-code) [i]
17Linear OA(2117, 135, F2, 51) (dual of [135, 18, 52]-code) [i]
18Linear OA(2118, 139, F2, 51) (dual of [139, 21, 52]-code) [i]
19Linear OA(2161, 189, F2, 55) (dual of [189, 28, 56]-code) [i]
20Linear OA(2156, 179, F2, 51) (dual of [179, 23, 52]-code) [i]
21Linear OA(2154, 179, F2, 49) (dual of [179, 25, 50]-code) [i]
22Linear OA(2155, 176, F2, 63) (dual of [176, 21, 64]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
23Linear OA(2140, 161, F2, 57) (dual of [161, 21, 58]-code) [i]
24Linear OA(2154, 174, F2, 63) (dual of [174, 20, 64]-code) [i]
25Linear OA(2139, 159, F2, 57) (dual of [159, 20, 58]-code) [i]
26Linear OA(2148, 167, F2, 63) (dual of [167, 19, 64]-code) [i]
27Linear OA(2142, 161, F2, 59) (dual of [161, 19, 60]-code) [i]
28Linear OA(2137, 156, F2, 57) (dual of [156, 19, 58]-code) [i]
29Linear OA(2147, 165, F2, 63) (dual of [165, 18, 64]-code) [i]
30Linear OA(2144, 162, F2, 61) (dual of [162, 18, 62]-code) [i]
31Linear OA(2140, 158, F2, 59) (dual of [158, 18, 60]-code) [i]
32Linear OA(2136, 154, F2, 57) (dual of [154, 18, 58]-code) [i]
33Linear OA(2146, 163, F2, 63) (dual of [163, 17, 64]-code) [i]
34Linear OA(2143, 160, F2, 61) (dual of [160, 17, 62]-code) [i]
35Linear OA(2139, 156, F2, 59) (dual of [156, 17, 60]-code) [i]
36Linear OA(2135, 152, F2, 57) (dual of [152, 17, 58]-code) [i]
37Linear OA(2144, 160, F2, 63) (dual of [160, 16, 64]-code) [i]
38Linear OA(2141, 157, F2, 61) (dual of [157, 16, 62]-code) [i]
39Linear OA(2137, 153, F2, 59) (dual of [153, 16, 60]-code) [i]
40Linear OA(2133, 149, F2, 57) (dual of [149, 16, 58]-code) [i]
41Linear OA(2140, 155, F2, 63) (dual of [155, 15, 64]-code) [i]
42Linear OA(2137, 152, F2, 61) (dual of [152, 15, 62]-code) [i]
43Linear OA(2133, 148, F2, 59) (dual of [148, 15, 60]-code) [i]
44Linear OA(2129, 144, F2, 57) (dual of [144, 15, 58]-code) [i]
45Linear OA(2156, 184, F2, 51) (dual of [184, 28, 52]-code) [i]
46Linear OA(2151, 179, F2, 49) (dual of [179, 28, 50]-code) [i]
47Linear OA(2156, 183, F2, 53) (dual of [183, 27, 54]-code) [i]
48Linear OA(2151, 178, F2, 51) (dual of [178, 27, 52]-code) [i]
49Linear OA(2146, 173, F2, 49) (dual of [173, 27, 50]-code) [i]
50Linear OA(2156, 182, F2, 55) (dual of [182, 26, 56]-code) [i]
51Linear OA(2153, 179, F2, 53) (dual of [179, 26, 54]-code) [i]
52Linear OA(2149, 175, F2, 51) (dual of [175, 26, 52]-code) [i]
53Linear OA(2145, 171, F2, 49) (dual of [171, 26, 50]-code) [i]
54Linear OA(2155, 180, F2, 55) (dual of [180, 25, 56]-code) [i]
55Linear OA(2152, 177, F2, 53) (dual of [177, 25, 54]-code) [i]
56Linear OA(2148, 173, F2, 51) (dual of [173, 25, 52]-code) [i]
57Linear OA(2144, 169, F2, 49) (dual of [169, 25, 50]-code) [i]
58Linear OA(2153, 177, F2, 55) (dual of [177, 24, 56]-code) [i]
59Linear OA(2150, 174, F2, 53) (dual of [174, 24, 54]-code) [i]
60Linear OA(2146, 170, F2, 51) (dual of [170, 24, 52]-code) [i]
61Linear OA(2142, 166, F2, 49) (dual of [166, 24, 50]-code) [i]
62Linear OA(2149, 172, F2, 55) (dual of [172, 23, 56]-code) [i]
63Linear OA(2146, 169, F2, 53) (dual of [169, 23, 54]-code) [i]
64Linear OA(2142, 165, F2, 51) (dual of [165, 23, 52]-code) [i]
65Linear OA(2138, 161, F2, 49) (dual of [161, 23, 50]-code) [i]
66Linear OA(2141, 163, F2, 55) (dual of [163, 22, 56]-code) [i]
67Linear OA(2138, 160, F2, 53) (dual of [160, 22, 54]-code) [i]
68Linear OA(2134, 156, F2, 51) (dual of [156, 22, 52]-code) [i]
69Linear OA(2130, 152, F2, 49) (dual of [152, 22, 50]-code) [i]
70Linear OA(2156, 178, F2, 62) (dual of [178, 22, 63]-code) [i]
71Linear OA(2151, 173, F2, 60) (dual of [173, 22, 61]-code) [i]
72Linear OOA(2113, 42, F2, 3, 55) (dual of [(42, 3), 13, 56]-NRT-code) [i]OOA Folding
73Linear OOA(2113, 25, F2, 5, 55) (dual of [(25, 5), 12, 56]-NRT-code) [i]