Information on Result #607242

Linear OA(24, 15, F2, 2) (dual of [15, 11, 3]-code), using Hamming code H(4,2)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2200, 209, F2, 98) (dual of [209, 9, 99]-code) [i]Juxtaposition
2Linear OA(2260, 269, F2, 130) (dual of [269, 9, 131]-code) [i]
3Linear OA(2132, 140, F2, 66) (dual of [140, 8, 67]-code) [i]
4Linear OA(2259, 267, F2, 130) (dual of [267, 8, 131]-code) [i]
5Linear OA(268, 75, F2, 34) (dual of [75, 7, 35]-code) [i]
6Linear OA(2131, 138, F2, 66) (dual of [138, 7, 67]-code) [i]
7Linear OA(2106, 115, F2, 50) (dual of [115, 9, 51]-code) [i]
8Linear OA(248, 147, F2, 13) (dual of [147, 99, 14]-code) [i]Construction XX with Cyclic Codes
9Linear OA(255, 147, F2, 15) (dual of [147, 92, 16]-code) [i]
10Linear OA(262, 147, F2, 17) (dual of [147, 85, 18]-code) [i]
11Linear OA(273, 151, F2, 21) (dual of [151, 78, 22]-code) [i]
12Linear OA(276, 147, F2, 23) (dual of [147, 71, 24]-code) [i]
13Linear OA(283, 147, F2, 25) (dual of [147, 64, 26]-code) [i]
14Linear OA(294, 151, F2, 29) (dual of [151, 57, 30]-code) [i]
15Linear OA(254, 277, F2, 13) (dual of [277, 223, 14]-code) [i]
16Linear OA(262, 277, F2, 15) (dual of [277, 215, 16]-code) [i]
17Linear OA(270, 277, F2, 17) (dual of [277, 207, 18]-code) [i]
18Linear OA(287, 286, F2, 21) (dual of [286, 199, 22]-code) [i]
19Linear OA(282, 273, F2, 21) (dual of [273, 191, 22]-code) [i]
20Linear OA(2108, 299, F2, 25) (dual of [299, 191, 26]-code) [i]
21Linear OA(290, 277, F2, 23) (dual of [277, 187, 24]-code) [i]
22Linear OA(2117, 304, F2, 27) (dual of [304, 187, 28]-code) [i]
23Linear OA(298, 277, F2, 25) (dual of [277, 179, 26]-code) [i]
24Linear OA(2125, 304, F2, 29) (dual of [304, 179, 30]-code) [i]
25Linear OA(2106, 277, F2, 27) (dual of [277, 171, 28]-code) [i]
26Linear OA(2133, 304, F2, 31) (dual of [304, 171, 32]-code) [i]
27Linear OA(2114, 277, F2, 29) (dual of [277, 163, 30]-code) [i]
28Linear OA(2122, 277, F2, 31) (dual of [277, 155, 32]-code) [i]
29Linear OA(2157, 309, F2, 38) (dual of [309, 152, 39]-code) [i]
30Linear OA(2130, 277, F2, 33) (dual of [277, 147, 34]-code) [i]
31Linear OA(2153, 300, F2, 39) (dual of [300, 147, 40]-code) [i]
32Linear OA(2149, 292, F2, 39) (dual of [292, 143, 40]-code) [i]
33Linear OA(2161, 300, F2, 41) (dual of [300, 139, 42]-code) [i]
34Linear OA(2157, 292, F2, 41) (dual of [292, 135, 42]-code) [i]
35Linear OA(2146, 277, F2, 41) (dual of [277, 131, 42]-code) [i]
36Linear OA(2164, 295, F2, 45) (dual of [295, 131, 46]-code) [i]
37Linear OA(2158, 281, F2, 45) (dual of [281, 123, 46]-code) [i]
38Linear OA(2172, 295, F2, 47) (dual of [295, 123, 48]-code) [i]
39Linear OA(2162, 277, F2, 47) (dual of [277, 115, 48]-code) [i]
40Linear OA(2170, 277, F2, 49) (dual of [277, 107, 50]-code) [i]
41Linear OA(2182, 273, F2, 55) (dual of [273, 91, 56]-code) [i]
42Linear OA(2190, 277, F2, 57) (dual of [277, 87, 58]-code) [i]
43Linear OA(260, 535, F2, 13) (dual of [535, 475, 14]-code) [i]
44Linear OA(269, 535, F2, 15) (dual of [535, 466, 16]-code) [i]
45Linear OA(278, 535, F2, 17) (dual of [535, 457, 18]-code) [i]
46Linear OA(287, 535, F2, 19) (dual of [535, 448, 20]-code) [i]
47Linear OA(296, 535, F2, 21) (dual of [535, 439, 22]-code) [i]
48Linear OA(2105, 535, F2, 23) (dual of [535, 430, 24]-code) [i]
49Linear OA(2114, 535, F2, 25) (dual of [535, 421, 26]-code) [i]
50Linear OA(2123, 535, F2, 27) (dual of [535, 412, 28]-code) [i]
51Linear OA(2132, 535, F2, 29) (dual of [535, 403, 30]-code) [i]
52Linear OA(2141, 535, F2, 31) (dual of [535, 394, 32]-code) [i]
53Linear OA(2174, 564, F2, 36) (dual of [564, 390, 37]-code) [i]
54Linear OA(2150, 535, F2, 33) (dual of [535, 385, 34]-code) [i]
55Linear OA(2169, 554, F2, 37) (dual of [554, 385, 38]-code) [i]
56Linear OA(2183, 564, F2, 38) (dual of [564, 381, 39]-code) [i]
57Linear OA(2163, 539, F2, 37) (dual of [539, 376, 38]-code) [i]
58Linear OA(2178, 554, F2, 39) (dual of [554, 376, 40]-code) [i]
59Linear OA(2192, 564, F2, 40) (dual of [564, 372, 41]-code) [i]
60Linear OA(2168, 535, F2, 39) (dual of [535, 367, 40]-code) [i]
61Linear OA(2196, 561, F2, 42) (dual of [561, 365, 43]-code) [i]
62Linear OA(2177, 535, F2, 41) (dual of [535, 358, 42]-code) [i]
63Linear OA(2205, 561, F2, 44) (dual of [561, 356, 45]-code) [i]
64Linear OA(2186, 535, F2, 43) (dual of [535, 349, 44]-code) [i]
65Linear OA(2214, 561, F2, 46) (dual of [561, 347, 47]-code) [i]
66Linear OA(2195, 535, F2, 45) (dual of [535, 340, 46]-code) [i]
67Linear OA(2223, 561, F2, 48) (dual of [561, 338, 49]-code) [i]
68Linear OA(2204, 535, F2, 47) (dual of [535, 331, 48]-code) [i]
69Linear OA(2237, 564, F2, 52) (dual of [564, 327, 53]-code) [i]
70Linear OA(2213, 535, F2, 49) (dual of [535, 322, 50]-code) [i]
71Linear OA(2232, 554, F2, 53) (dual of [554, 322, 54]-code) [i]
72Linear OA(2246, 564, F2, 54) (dual of [564, 318, 55]-code) [i]
73Linear OA(2226, 539, F2, 53) (dual of [539, 313, 54]-code) [i]
74Linear OA(2241, 554, F2, 55) (dual of [554, 313, 56]-code) [i]
75Linear OA(2255, 564, F2, 56) (dual of [564, 309, 57]-code) [i]
76Linear OA(2231, 535, F2, 55) (dual of [535, 304, 56]-code) [i]
77Linear OA(2259, 561, F2, 58) (dual of [561, 302, 59]-code) [i]
78Linear OA(2240, 535, F2, 57) (dual of [535, 295, 58]-code) [i]
79Linear OA(2249, 535, F2, 59) (dual of [535, 286, 60]-code) [i]
80Linear OA(2258, 535, F2, 61) (dual of [535, 277, 62]-code) [i]
81Linear OA(266, 1049, F2, 13) (dual of [1049, 983, 14]-code) [i]
82Linear OA(276, 1049, F2, 15) (dual of [1049, 973, 16]-code) [i]
83Linear OA(286, 1049, F2, 17) (dual of [1049, 963, 18]-code) [i]
84Linear OA(296, 1049, F2, 19) (dual of [1049, 953, 20]-code) [i]
85Linear OA(2106, 1049, F2, 21) (dual of [1049, 943, 22]-code) [i]
86Linear OA(2116, 1049, F2, 23) (dual of [1049, 933, 24]-code) [i]
87Linear OA(2126, 1049, F2, 25) (dual of [1049, 923, 26]-code) [i]
88Linear OA(2136, 1049, F2, 27) (dual of [1049, 913, 28]-code) [i]
89Linear OA(2146, 1049, F2, 29) (dual of [1049, 903, 30]-code) [i]
90Linear OA(2156, 1049, F2, 31) (dual of [1049, 893, 32]-code) [i]
91Linear OA(2166, 1049, F2, 33) (dual of [1049, 883, 34]-code) [i]
92Linear OA(2191, 1074, F2, 36) (dual of [1074, 883, 37]-code) [i]
93Linear OA(2186, 1059, F2, 37) (dual of [1059, 873, 38]-code) [i]
94Linear OA(2201, 1074, F2, 38) (dual of [1074, 873, 39]-code) [i]
95Linear OA(2181, 1044, F2, 37) (dual of [1044, 863, 38]-code) [i]
96Linear OA(2211, 1074, F2, 40) (dual of [1074, 863, 41]-code) [i]
97Linear OA(2191, 1049, F2, 39) (dual of [1049, 858, 40]-code) [i]
98Linear OA(2221, 1074, F2, 42) (dual of [1074, 853, 43]-code) [i]
99Linear OA(2201, 1049, F2, 41) (dual of [1049, 848, 42]-code) [i]
100Linear OA(2231, 1074, F2, 44) (dual of [1074, 843, 45]-code) [i]
101Linear OA(2211, 1049, F2, 43) (dual of [1049, 838, 44]-code) [i]
102Linear OA(2241, 1074, F2, 46) (dual of [1074, 833, 47]-code) [i]
103Linear OA(2221, 1049, F2, 45) (dual of [1049, 828, 46]-code) [i]
104Linear OA(2251, 1074, F2, 48) (dual of [1074, 823, 49]-code) [i]
105Linear OA(2231, 1049, F2, 47) (dual of [1049, 818, 48]-code) [i]
106Linear OA(2241, 1049, F2, 49) (dual of [1049, 808, 50]-code) [i]
107Linear OA(2251, 1049, F2, 51) (dual of [1049, 798, 52]-code) [i]
108Linear OA(2260, 1039, F2, 52) (dual of [1039, 779, 53]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
109Linear OOA(24, 15, F2, 2, 2) (dual of [(15, 2), 26, 3]-NRT-code) [i]Appending kth Column