Information on Result #621721

Linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 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(2127, 134, F2, 64) (dual of [134, 7, 65]-code) [i]Juxtaposition
2Linear OA(2131, 138, F2, 66) (dual of [138, 7, 67]-code) [i]
3Linear OA(2135, 142, F2, 68) (dual of [142, 7, 69]-code) [i]
4Linear OA(2138, 145, F2, 70) (dual of [145, 7, 71]-code) [i]
5Linear OA(2121, 135, F2, 57) (dual of [135, 14, 58]-code) [i]Construction X with De Boer–Brouwer Codes
6Linear OA(2130, 139, F2, 63) (dual of [139, 9, 64]-code) [i]
7Linear OA(2131, 143, F2, 63) (dual of [143, 12, 64]-code) [i]
8Linear OA(2132, 146, F2, 63) (dual of [146, 14, 64]-code) [i]
9Linear OA(2127, 136, F2, 61) (dual of [136, 9, 62]-code) [i]
10Linear OA(2128, 139, F2, 61) (dual of [139, 11, 62]-code) [i]
11Linear OA(2129, 143, F2, 61) (dual of [143, 14, 62]-code) [i]
12Linear OA(2124, 135, F2, 59) (dual of [135, 11, 60]-code) [i]
13Linear OA(2125, 139, F2, 59) (dual of [139, 14, 60]-code) [i]
14Linear OA(2150, 166, F2, 63) (dual of [166, 16, 64]-code) [i]
15Linear OA(2151, 168, F2, 63) (dual of [168, 17, 64]-code) [i]
16Linear OA(2152, 170, F2, 63) (dual of [170, 18, 64]-code) [i]
17Linear OA(2156, 175, F2, 63) (dual of [175, 19, 64]-code) [i]
18Linear OA(2158, 179, F2, 63) (dual of [179, 21, 64]-code) [i]
19Linear OA(2147, 165, F2, 61) (dual of [165, 18, 62]-code) [i]
20Linear OA(2149, 170, F2, 61) (dual of [170, 21, 62]-code) [i]
21Linear OA(2141, 159, F2, 59) (dual of [159, 18, 60]-code) [i]
22Linear OA(2144, 165, F2, 59) (dual of [165, 21, 60]-code) [i]
23Linear OA(2141, 162, F2, 57) (dual of [162, 21, 58]-code) [i]
24Linear OA(2175, 197, F2, 57) (dual of [197, 22, 58]-code) [i]
25Linear OA(2138, 153, F2, 63) (dual of [153, 15, 64]-code) [i]
26Linear OA(2132, 147, F2, 62) (dual of [147, 15, 63]-code) [i]
27Linear OA(2129, 144, F2, 60) (dual of [144, 15, 61]-code) [i]
28Linear OA(2161, 183, F2, 63) (dual of [183, 22, 64]-code) [i]
29Linear OA(2158, 180, F2, 62) (dual of [180, 22, 63]-code) [i]
30Linear OA(2152, 174, F2, 60) (dual of [174, 22, 61]-code) [i]
31Linear OA(2149, 171, F2, 60) (dual of [171, 22, 61]-code) [i]Construction XX with De Boer–Brouwer Codes
32Linear OA(2155, 176, F2, 63) (dual of [176, 21, 64]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
33Linear OA(2140, 161, F2, 57) (dual of [161, 21, 58]-code) [i]
34Linear OA(2154, 174, F2, 63) (dual of [174, 20, 64]-code) [i]
35Linear OA(2139, 159, F2, 57) (dual of [159, 20, 58]-code) [i]
36Linear OA(2148, 167, F2, 63) (dual of [167, 19, 64]-code) [i]
37Linear OA(2142, 161, F2, 59) (dual of [161, 19, 60]-code) [i]
38Linear OA(2137, 156, F2, 57) (dual of [156, 19, 58]-code) [i]
39Linear OA(2147, 165, F2, 63) (dual of [165, 18, 64]-code) [i]
40Linear OA(2144, 162, F2, 61) (dual of [162, 18, 62]-code) [i]
41Linear OA(2140, 158, F2, 59) (dual of [158, 18, 60]-code) [i]
42Linear OA(2136, 154, F2, 57) (dual of [154, 18, 58]-code) [i]
43Linear OA(2146, 163, F2, 63) (dual of [163, 17, 64]-code) [i]
44Linear OA(2143, 160, F2, 61) (dual of [160, 17, 62]-code) [i]
45Linear OA(2139, 156, F2, 59) (dual of [156, 17, 60]-code) [i]
46Linear OA(2135, 152, F2, 57) (dual of [152, 17, 58]-code) [i]
47Linear OA(2144, 160, F2, 63) (dual of [160, 16, 64]-code) [i]
48Linear OA(2141, 157, F2, 61) (dual of [157, 16, 62]-code) [i]
49Linear OA(2137, 153, F2, 59) (dual of [153, 16, 60]-code) [i]
50Linear OA(2133, 149, F2, 57) (dual of [149, 16, 58]-code) [i]
51Linear OA(2140, 155, F2, 63) (dual of [155, 15, 64]-code) [i]
52Linear OA(2137, 152, F2, 61) (dual of [152, 15, 62]-code) [i]
53Linear OA(2133, 148, F2, 59) (dual of [148, 15, 60]-code) [i]
54Linear OA(2129, 144, F2, 57) (dual of [144, 15, 58]-code) [i]
55Linear OA(2177, 205, F2, 56) (dual of [205, 28, 57]-code) [i]
56Linear OA(2173, 200, F2, 57) (dual of [200, 27, 58]-code) [i]
57Linear OA(2153, 180, F2, 49) (dual of [180, 27, 50]-code) [i]
58Linear OA(2174, 200, F2, 58) (dual of [200, 26, 59]-code) [i]
59Linear OA(2172, 198, F2, 57) (dual of [198, 26, 58]-code) [i]
60Linear OA(2152, 178, F2, 49) (dual of [178, 26, 50]-code) [i]
61Linear OA(2174, 199, F2, 59) (dual of [199, 25, 60]-code) [i]
62Linear OA(2171, 196, F2, 57) (dual of [196, 25, 58]-code) [i]
63Linear OA(2156, 181, F2, 51) (dual of [181, 25, 52]-code) [i]
64Linear OA(2151, 176, F2, 49) (dual of [176, 25, 50]-code) [i]
65Linear OA(2172, 196, F2, 59) (dual of [196, 24, 60]-code) [i]
66Linear OA(2169, 193, F2, 57) (dual of [193, 24, 58]-code) [i]
67Linear OA(2154, 178, F2, 51) (dual of [178, 24, 52]-code) [i]
68Linear OA(2149, 173, F2, 49) (dual of [173, 24, 50]-code) [i]
69Linear OA(2177, 200, F2, 61) (dual of [200, 23, 62]-code) [i]
70Linear OA(2168, 191, F2, 59) (dual of [191, 23, 60]-code) [i]
71Linear OA(2165, 188, F2, 57) (dual of [188, 23, 58]-code) [i]
72Linear OA(2160, 183, F2, 55) (dual of [183, 23, 56]-code) [i]
73Linear OA(2155, 178, F2, 53) (dual of [178, 23, 54]-code) [i]
74Linear OA(2150, 173, F2, 51) (dual of [173, 23, 52]-code) [i]
75Linear OA(2145, 168, F2, 49) (dual of [168, 23, 50]-code) [i]
76Linear OA(2173, 195, F2, 62) (dual of [195, 22, 63]-code) [i]
77Linear OA(2168, 190, F2, 61) (dual of [190, 22, 62]-code) [i]
78Linear OA(2160, 182, F2, 59) (dual of [182, 22, 60]-code) [i]
79Linear OA(2157, 179, F2, 57) (dual of [179, 22, 58]-code) [i]
80Linear OA(2152, 174, F2, 55) (dual of [174, 22, 56]-code) [i]
81Linear OA(2147, 169, F2, 53) (dual of [169, 22, 54]-code) [i]
82Linear OA(2142, 164, F2, 51) (dual of [164, 22, 52]-code) [i]
83Linear OA(2137, 159, F2, 49) (dual of [159, 22, 50]-code) [i]
84Linear OA(2128, 137, F2, 62) (dual of [137, 9, 63]-code) [i]
85Linear OA(2125, 134, F2, 60) (dual of [134, 9, 61]-code) [i]
86Linear OA(2156, 178, F2, 62) (dual of [178, 22, 63]-code) [i]
87Linear OA(2151, 173, F2, 60) (dual of [173, 22, 61]-code) [i]
88Linear OA(2155, 177, F2, 62) (dual of [177, 22, 63]-code) [i]
89Linear OA(2150, 172, F2, 60) (dual of [172, 22, 61]-code) [i]
90Linear OA(2152, 172, F2, 62) (dual of [172, 20, 63]-code) [i]
91Linear OA(2147, 167, F2, 60) (dual of [167, 20, 61]-code) [i]
92Linear OA(2144, 163, F2, 60) (dual of [163, 19, 61]-code) [i]
93Linear OA(2144, 161, F2, 62) (dual of [161, 17, 63]-code) [i]
94Linear OA(2141, 158, F2, 60) (dual of [158, 17, 61]-code) [i]
95Linear OA(2140, 156, F2, 62) (dual of [156, 16, 63]-code) [i]
96Linear OA(2137, 153, F2, 60) (dual of [153, 16, 61]-code) [i]
97Linear OA(2169, 192, F2, 60) (dual of [192, 23, 61]-code) [i]
98Linear OOA(2120, 42, F2, 3, 63) (dual of [(42, 3), 6, 64]-NRT-code) [i]OOA Folding
99Linear OOA(2120, 25, F2, 5, 63) (dual of [(25, 5), 5, 64]-NRT-code) [i]