Information on Result #607240

Linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using Hamming code H(2,2)

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(213, 36, F2, 5) (dual of [36, 23, 6]-code) [i]Construction X with Cyclic Codes
2Linear OA(217, 132, F2, 5) (dual of [132, 115, 6]-code) [i]
3Linear OA(221, 516, F2, 5) (dual of [516, 495, 6]-code) [i]
4Linear OA(225, 2052, F2, 5) (dual of [2052, 2027, 6]-code) [i]
5Linear OA(229, 8196, F2, 5) (dual of [8196, 8167, 6]-code) [i]
6Linear OA(233, 32772, F2, 5) (dual of [32772, 32739, 6]-code) [i]
7Linear OA(237, 131076, F2, 5) (dual of [131076, 131039, 6]-code) [i]
8Linear OA(241, 524292, F2, 5) (dual of [524292, 524251, 6]-code) [i]
9Linear OA(245, 2097156, F2, 5) (dual of [2097156, 2097111, 6]-code) [i]
10Linear OA(218, 24, F2, 9) (dual of [24, 6, 10]-code) [i]
11Linear OA(231, 132, F2, 9) (dual of [132, 101, 10]-code) [i]
12Linear OA(235, 260, F2, 9) (dual of [260, 225, 10]-code) [i]
13Linear OA(239, 516, F2, 9) (dual of [516, 477, 10]-code) [i]
14Linear OA(241, 48, F2, 17) (dual of [48, 7, 18]-code) [i]
15Linear OA(271, 88, F2, 31) (dual of [88, 17, 32]-code) [i]
16Linear OA(283, 96, F2, 33) (dual of [96, 13, 34]-code) [i]
17Linear OA(280, 92, F2, 35) (dual of [92, 12, 36]-code) [i]
18Linear OA(2137, 156, F2, 35) (dual of [156, 19, 36]-code) [i]
19Linear OA(279, 88, F2, 39) (dual of [88, 9, 40]-code) [i]
20Linear OA(2145, 156, F2, 53) (dual of [156, 11, 54]-code) [i]
21Linear OA(2174, 192, F2, 65) (dual of [192, 18, 66]-code) [i]
22Linear OA(2254, 282, F2, 65) (dual of [282, 28, 66]-code) [i]
23Linear OA(2176, 192, F2, 71) (dual of [192, 16, 72]-code) [i]
24Linear OA(2182, 192, F2, 83) (dual of [192, 10, 84]-code) [i]
25Linear OA(291, 108, F2, 39) (dual of [108, 17, 40]-code) [i]Construction XX with Cyclic Codes
26Linear OA(288, 105, F2, 37) (dual of [105, 17, 38]-code) [i]
27Linear OA(280, 97, F2, 33) (dual of [97, 17, 34]-code) [i]
28Linear OA(281, 98, F2, 33) (dual of [98, 17, 34]-code) [i]Construction XX with a Chain of Cyclic Codes
29Linear OA(2105, 201, F2, 28) (dual of [201, 96, 29]-code) [i]Construction X with VarÅ¡amov Bound
30Linear OA(2116, 304, F2, 26) (dual of [304, 188, 27]-code) [i]
31Linear OA(2135, 201, F2, 40) (dual of [201, 66, 41]-code) [i]
32Linear OA(2139, 290, F2, 34) (dual of [290, 151, 35]-code) [i]
33Linear OA(2148, 193, F2, 48) (dual of [193, 45, 49]-code) [i]
34Linear OA(2149, 305, F2, 36) (dual of [305, 156, 37]-code) [i]
35Linear OA(2153, 301, F2, 38) (dual of [301, 148, 39]-code) [i]
36Linear OA(2175, 228, F2, 56) (dual of [228, 53, 57]-code) [i]
37Linear OA(2175, 321, F2, 44) (dual of [321, 146, 45]-code) [i]
38Linear OA(2178, 227, F2, 58) (dual of [227, 49, 59]-code) [i]
39Linear OA(2187, 328, F2, 48) (dual of [328, 141, 49]-code) [i]
40Linear OA(2191, 328, F2, 50) (dual of [328, 137, 51]-code) [i]
41Linear OA(2200, 257, F2, 64) (dual of [257, 57, 65]-code) [i]
42Linear OA(2204, 265, F2, 64) (dual of [265, 61, 65]-code) [i]
43Linear OA(2205, 338, F2, 54) (dual of [338, 133, 55]-code) [i]
44Linear OA(2209, 338, F2, 56) (dual of [338, 129, 57]-code) [i]
45Linear OA(2210, 575, F2, 44) (dual of [575, 365, 45]-code) [i]
46Linear OA(2213, 338, F2, 58) (dual of [338, 125, 59]-code) [i]
47Linear OA(2219, 575, F2, 46) (dual of [575, 356, 47]-code) [i]
48Linear OA(2221, 387, F2, 56) (dual of [387, 166, 57]-code) [i]
49Linear OA(2223, 564, F2, 48) (dual of [564, 341, 49]-code) [i]
50Linear OA(2226, 387, F2, 58) (dual of [387, 161, 59]-code) [i]
51Linear OA(2231, 348, F2, 64) (dual of [348, 117, 65]-code) [i]
52Linear OA(2231, 387, F2, 60) (dual of [387, 156, 61]-code) [i]
53Linear OA(2232, 289, F2, 76) (dual of [289, 57, 77]-code) [i]
54Linear OA(2235, 348, F2, 66) (dual of [348, 113, 67]-code) [i]
55Linear OA(2236, 387, F2, 62) (dual of [387, 151, 63]-code) [i]
56Linear OA(2239, 348, F2, 68) (dual of [348, 109, 69]-code) [i]
57Linear OA(2241, 387, F2, 64) (dual of [387, 146, 65]-code) [i]
58Linear OA(2243, 348, F2, 70) (dual of [348, 105, 71]-code) [i]
59Linear OA(2246, 387, F2, 66) (dual of [387, 141, 67]-code) [i]
60Linear OA(2246, 569, F2, 54) (dual of [569, 323, 55]-code) [i]
61Linear OA(2247, 348, F2, 72) (dual of [348, 101, 73]-code) [i]
62Linear OA(2251, 348, F2, 74) (dual of [348, 97, 75]-code) [i]
63Linear OA(2255, 348, F2, 76) (dual of [348, 93, 77]-code) [i]
64Linear OA(2259, 348, F2, 78) (dual of [348, 89, 79]-code) [i]
65Linear OA(2113, 210, F2, 30) (dual of [210, 97, 31]-code) [i]
66Linear OA(2183, 232, F2, 60) (dual of [232, 49, 61]-code) [i]
67Linear OA(2199, 256, F2, 64) (dual of [256, 57, 65]-code) [i]