Information on Result #604126

Linear OA(21, 2, F2, 1) (dual of [2, 1, 2]-code), using dual of repetition code with length 2

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(2195, 274, F2, 60) (dual of [274, 79, 61]-code) [i]Construction XX with a Chain of Cyclic Codes
2Linear OA(2195, 275, F2, 60) (dual of [275, 80, 61]-code) [i]
3Linear OA(2194, 1053, F2, 39) (dual of [1053, 859, 40]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
4Linear OA(2179, 1038, F2, 37) (dual of [1038, 859, 38]-code) [i]
5Linear OA(2246, 292, F2, 95) (dual of [292, 46, 96]-code) [i]
6Linear OA(2240, 286, F2, 93) (dual of [286, 46, 94]-code) [i]
7Linear OA(2226, 272, F2, 91) (dual of [272, 46, 92]-code) [i]
8Linear OA(2222, 268, F2, 89) (dual of [268, 46, 90]-code) [i]
9Linear OA(2192, 272, F2, 59) (dual of [272, 80, 60]-code) [i]
10Linear OA(2188, 268, F2, 57) (dual of [268, 80, 58]-code) [i]
11Linear OA(2180, 268, F2, 55) (dual of [268, 88, 56]-code) [i]
12Linear OA(2182, 282, F2, 53) (dual of [282, 100, 54]-code) [i]
13Linear OA(2172, 272, F2, 51) (dual of [272, 100, 52]-code) [i]
14Linear OA(2168, 268, F2, 49) (dual of [268, 100, 50]-code) [i]
15Linear OA(2178, 286, F2, 51) (dual of [286, 108, 52]-code) [i]
16Linear OA(2173, 281, F2, 49) (dual of [281, 108, 50]-code) [i]
17Linear OA(2160, 268, F2, 47) (dual of [268, 108, 48]-code) [i]
18Linear OA(2162, 286, F2, 45) (dual of [286, 124, 46]-code) [i]
19Linear OA(2148, 272, F2, 43) (dual of [272, 124, 44]-code) [i]
20Linear OA(2144, 268, F2, 41) (dual of [268, 124, 42]-code) [i]
21Linear OA(2152, 292, F2, 39) (dual of [292, 140, 40]-code) [i]
22Linear OA(2136, 276, F2, 37) (dual of [276, 140, 38]-code) [i]
23Linear OA(2132, 272, F2, 35) (dual of [272, 140, 36]-code) [i]
24Linear OA(2128, 268, F2, 33) (dual of [268, 140, 34]-code) [i]
25Linear OA(2144, 292, F2, 37) (dual of [292, 148, 38]-code) [i]
26Linear OA(2138, 286, F2, 35) (dual of [286, 148, 36]-code) [i]
27Linear OA(2133, 281, F2, 33) (dual of [281, 148, 34]-code) [i]
28Linear OA(2120, 268, F2, 31) (dual of [268, 148, 32]-code) [i]
29Linear OA(2125, 281, F2, 31) (dual of [281, 156, 32]-code) [i]
30Linear OA(2131, 295, F2, 30) (dual of [295, 164, 31]-code) [i]
31Linear OA(2112, 268, F2, 29) (dual of [268, 156, 30]-code) [i]
32Linear OA(2117, 281, F2, 29) (dual of [281, 164, 30]-code) [i]
33Linear OA(2123, 295, F2, 28) (dual of [295, 172, 29]-code) [i]
34Linear OA(2104, 268, F2, 27) (dual of [268, 164, 28]-code) [i]
35Linear OA(2109, 281, F2, 27) (dual of [281, 172, 28]-code) [i]
36Linear OA(2115, 295, F2, 26) (dual of [295, 180, 27]-code) [i]
37Linear OA(296, 268, F2, 25) (dual of [268, 172, 26]-code) [i]
38Linear OA(2101, 281, F2, 25) (dual of [281, 180, 26]-code) [i]
39Linear OA(2107, 295, F2, 24) (dual of [295, 188, 25]-code) [i]
40Linear OA(288, 268, F2, 23) (dual of [268, 180, 24]-code) [i]
41Linear OA(293, 281, F2, 23) (dual of [281, 188, 24]-code) [i]
42Linear OA(298, 290, F2, 23) (dual of [290, 192, 24]-code) [i]
43Linear OA(280, 268, F2, 21) (dual of [268, 188, 22]-code) [i]
44Linear OA(285, 277, F2, 21) (dual of [277, 192, 22]-code) [i]
45Linear OA(290, 290, F2, 21) (dual of [290, 200, 22]-code) [i]
46Linear OA(272, 264, F2, 19) (dual of [264, 192, 20]-code) [i]
47Linear OA(277, 277, F2, 19) (dual of [277, 200, 20]-code) [i]
48Linear OA(268, 268, F2, 17) (dual of [268, 200, 18]-code) [i]
49Linear OA(260, 268, F2, 15) (dual of [268, 208, 16]-code) [i]
50Linear OA(252, 268, F2, 13) (dual of [268, 216, 14]-code) [i]
51Linear OA(244, 268, F2, 11) (dual of [268, 224, 12]-code) [i]
52Linear OA(2122, 159, F2, 43) (dual of [159, 37, 44]-code) [i]
53Linear OA(2113, 150, F2, 39) (dual of [150, 37, 40]-code) [i]
54Linear OA(295, 139, F2, 31) (dual of [139, 44, 32]-code) [i]
55Linear OA(285, 143, F2, 27) (dual of [143, 58, 28]-code) [i]
56Linear OA(281, 139, F2, 25) (dual of [139, 58, 26]-code) [i]
57Linear OA(274, 139, F2, 23) (dual of [139, 65, 24]-code) [i]
58Linear OA(264, 143, F2, 19) (dual of [143, 79, 20]-code) [i]
59Linear OA(260, 139, F2, 17) (dual of [139, 79, 18]-code) [i]
60Linear OA(253, 139, F2, 15) (dual of [139, 86, 16]-code) [i]
61Linear OA(246, 139, F2, 13) (dual of [139, 93, 14]-code) [i]
62Linear OA(239, 139, F2, 11) (dual of [139, 100, 12]-code) [i]
63Linear OA(232, 139, F2, 9) (dual of [139, 107, 10]-code) [i]
64Linear OA(261, 78, F2, 27) (dual of [78, 17, 28]-code) [i]
65Linear OA(257, 74, F2, 25) (dual of [74, 17, 26]-code) [i]
66Linear OA(231, 71, F2, 11) (dual of [71, 40, 12]-code) [i]
67Linear OA(2181, 281, F2, 53) (dual of [281, 100, 54]-code) [i]
68Linear OA(2143, 291, F2, 37) (dual of [291, 148, 38]-code) [i]
69Linear OA(2149, 171, F2, 60) (dual of [171, 22, 61]-code) [i]Construction XX with De Boer–Brouwer Codes