Information on Result #621848

Linear OA(2105, 127, F2, 46) (dual of [127, 22, 47]-code), using augmented code D1 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(2105, 127, F2, 45) (dual of [127, 22, 46]-code) [i]Strength Reduction
2Linear OA(2105, 127, F2, 44) (dual of [127, 22, 45]-code) [i]
3Linear OA(2107, 129, F2, 46) (dual of [129, 22, 47]-code) [i]Code Embedding in Larger Space
4Linear OA(2113, 135, F2, 48) (dual of [135, 22, 49]-code) [i]Construction X with De Boer–Brouwer Codes
5Linear OA(2119, 135, F2, 54) (dual of [135, 16, 55]-code) [i]
6Linear OA(2122, 139, F2, 54) (dual of [139, 17, 55]-code) [i]
7Linear OA(2123, 143, F2, 54) (dual of [143, 20, 55]-code) [i]
8Linear OA(2124, 146, F2, 54) (dual of [146, 22, 55]-code) [i]
9Linear OA(2119, 136, F2, 52) (dual of [136, 17, 53]-code) [i]
10Linear OA(2120, 139, F2, 52) (dual of [139, 19, 53]-code) [i]
11Linear OA(2121, 143, F2, 52) (dual of [143, 22, 53]-code) [i]
12Linear OA(2116, 135, F2, 50) (dual of [135, 19, 51]-code) [i]
13Linear OA(2117, 139, F2, 50) (dual of [139, 22, 51]-code) [i]
14Linear OA(2120, 143, F2, 46) (dual of [143, 23, 47]-code) [i]
15Linear OA(2127, 151, F2, 46) (dual of [151, 24, 47]-code) [i]
16Linear OA(2130, 155, F2, 46) (dual of [155, 25, 47]-code) [i]
17Linear OA(2131, 159, F2, 46) (dual of [159, 28, 47]-code) [i]
18Linear OA(2135, 164, F2, 46) (dual of [164, 29, 47]-code) [i]
19Linear OA(2124, 148, F2, 44) (dual of [148, 24, 45]-code) [i]
20Linear OA(2127, 152, F2, 44) (dual of [152, 25, 45]-code) [i]
21Linear OA(2128, 155, F2, 44) (dual of [155, 27, 45]-code) [i]
22Linear OA(2132, 161, F2, 44) (dual of [161, 29, 45]-code) [i]
23Linear OA(2140, 159, F2, 58) (dual of [159, 19, 59]-code) [i]
24Linear OA(2143, 165, F2, 58) (dual of [165, 22, 59]-code) [i]
25Linear OA(2140, 162, F2, 56) (dual of [162, 22, 57]-code) [i]
26Linear OA(2161, 183, F2, 63) (dual of [183, 22, 64]-code) [i]
27Linear OA(2158, 180, F2, 62) (dual of [180, 22, 63]-code) [i]
28Linear OA(2152, 174, F2, 60) (dual of [174, 22, 61]-code) [i]
29Linear OA(2149, 171, F2, 60) (dual of [171, 22, 61]-code) [i]Construction XX with De Boer–Brouwer Codes
30Linear OA(2139, 161, F2, 56) (dual of [161, 22, 57]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
31Linear OA(2138, 159, F2, 56) (dual of [159, 21, 57]-code) [i]
32Linear OA(2141, 161, F2, 58) (dual of [161, 20, 59]-code) [i]
33Linear OA(2136, 156, F2, 56) (dual of [156, 20, 57]-code) [i]
34Linear OA(2139, 158, F2, 58) (dual of [158, 19, 59]-code) [i]
35Linear OA(2135, 154, F2, 56) (dual of [154, 19, 57]-code) [i]
36Linear OA(2138, 156, F2, 58) (dual of [156, 18, 59]-code) [i]
37Linear OA(2134, 152, F2, 56) (dual of [152, 18, 57]-code) [i]
38Linear OA(2136, 153, F2, 58) (dual of [153, 17, 59]-code) [i]
39Linear OA(2132, 149, F2, 56) (dual of [149, 17, 57]-code) [i]
40Linear OA(2132, 148, F2, 58) (dual of [148, 16, 59]-code) [i]
41Linear OA(2128, 144, F2, 56) (dual of [144, 16, 57]-code) [i]
42Linear OA(2172, 200, F2, 56) (dual of [200, 28, 57]-code) [i]
43Linear OA(2171, 198, F2, 56) (dual of [198, 27, 57]-code) [i]
44Linear OA(2173, 199, F2, 58) (dual of [199, 26, 59]-code) [i]
45Linear OA(2170, 196, F2, 56) (dual of [196, 26, 57]-code) [i]
46Linear OA(2171, 196, F2, 58) (dual of [196, 25, 59]-code) [i]
47Linear OA(2168, 193, F2, 56) (dual of [193, 25, 57]-code) [i]
48Linear OA(2167, 191, F2, 58) (dual of [191, 24, 59]-code) [i]
49Linear OA(2164, 188, F2, 56) (dual of [188, 24, 57]-code) [i]
50Linear OA(2159, 182, F2, 58) (dual of [182, 23, 59]-code) [i]
51Linear OA(2156, 179, F2, 56) (dual of [179, 23, 57]-code) [i]
52Linear OA(2136, 159, F2, 48) (dual of [159, 23, 49]-code) [i]
53Linear OA(2155, 184, F2, 50) (dual of [184, 29, 51]-code) [i]
54Linear OA(2150, 179, F2, 48) (dual of [179, 29, 49]-code) [i]
55Linear OA(2155, 183, F2, 52) (dual of [183, 28, 53]-code) [i]
56Linear OA(2150, 178, F2, 50) (dual of [178, 28, 51]-code) [i]
57Linear OA(2145, 173, F2, 48) (dual of [173, 28, 49]-code) [i]
58Linear OA(2155, 182, F2, 54) (dual of [182, 27, 55]-code) [i]
59Linear OA(2152, 179, F2, 52) (dual of [179, 27, 53]-code) [i]
60Linear OA(2148, 175, F2, 50) (dual of [175, 27, 51]-code) [i]
61Linear OA(2144, 171, F2, 48) (dual of [171, 27, 49]-code) [i]
62Linear OA(2154, 180, F2, 54) (dual of [180, 26, 55]-code) [i]
63Linear OA(2151, 177, F2, 52) (dual of [177, 26, 53]-code) [i]
64Linear OA(2147, 173, F2, 50) (dual of [173, 26, 51]-code) [i]
65Linear OA(2143, 169, F2, 48) (dual of [169, 26, 49]-code) [i]
66Linear OA(2152, 177, F2, 54) (dual of [177, 25, 55]-code) [i]
67Linear OA(2149, 174, F2, 52) (dual of [174, 25, 53]-code) [i]
68Linear OA(2145, 170, F2, 50) (dual of [170, 25, 51]-code) [i]
69Linear OA(2141, 166, F2, 48) (dual of [166, 25, 49]-code) [i]
70Linear OA(2148, 172, F2, 54) (dual of [172, 24, 55]-code) [i]
71Linear OA(2145, 169, F2, 52) (dual of [169, 24, 53]-code) [i]
72Linear OA(2141, 165, F2, 50) (dual of [165, 24, 51]-code) [i]
73Linear OA(2137, 161, F2, 48) (dual of [161, 24, 49]-code) [i]
74Linear OA(2140, 163, F2, 54) (dual of [163, 23, 55]-code) [i]
75Linear OA(2137, 160, F2, 52) (dual of [160, 23, 53]-code) [i]
76Linear OA(2133, 156, F2, 50) (dual of [156, 23, 51]-code) [i]
77Linear OA(2129, 152, F2, 48) (dual of [152, 23, 49]-code) [i]
78Linear OA(2156, 178, F2, 62) (dual of [178, 22, 63]-code) [i]
79Linear OA(2151, 173, F2, 60) (dual of [173, 22, 61]-code) [i]
80Linear OA(2155, 177, F2, 62) (dual of [177, 22, 63]-code) [i]
81Linear OA(2150, 172, F2, 60) (dual of [172, 22, 61]-code) [i]
82Linear OA(2152, 172, F2, 62) (dual of [172, 20, 63]-code) [i]
83Linear OA(2147, 167, F2, 60) (dual of [167, 20, 61]-code) [i]
84Linear OA(2144, 163, F2, 60) (dual of [163, 19, 61]-code) [i]
85Linear OA(2144, 161, F2, 62) (dual of [161, 17, 63]-code) [i]
86Linear OA(2141, 158, F2, 60) (dual of [158, 17, 61]-code) [i]
87Linear OA(2140, 156, F2, 62) (dual of [156, 16, 63]-code) [i]
88Linear OA(2137, 153, F2, 60) (dual of [153, 16, 61]-code) [i]
89Linear OA(2169, 192, F2, 60) (dual of [192, 23, 61]-code) [i]
90Linear OOA(2105, 63, F2, 2, 46) (dual of [(63, 2), 21, 47]-NRT-code) [i]OOA Folding
91Linear OOA(2105, 42, F2, 3, 46) (dual of [(42, 3), 21, 47]-NRT-code) [i]
92Linear OOA(2105, 25, F2, 5, 46) (dual of [(25, 5), 20, 47]-NRT-code) [i]