Information on Result #607241

Linear OA(23, 7, F2, 2) (dual of [7, 4, 3]-code), using Hamming code H(3,2)

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(285, 105, F2, 32) (dual of [105, 20, 33]-code) [i]Concatenation of Two Codes
2Linear OA(282, 98, F2, 32) (dual of [98, 16, 33]-code) [i]
3Linear OA(289, 105, F2, 35) (dual of [105, 16, 36]-code) [i]
4Linear OA(2123, 147, F2, 44) (dual of [147, 24, 45]-code) [i]
5Linear OA(2140, 168, F2, 50) (dual of [168, 28, 51]-code) [i]
6Linear OA(2167, 203, F2, 56) (dual of [203, 36, 57]-code) [i]
7Linear OA(2164, 196, F2, 56) (dual of [196, 32, 57]-code) [i]
8Linear OA(2171, 203, F2, 59) (dual of [203, 32, 60]-code) [i]
9Linear OA(2181, 217, F2, 62) (dual of [217, 36, 63]-code) [i]
10Linear OA(2178, 210, F2, 62) (dual of [210, 32, 63]-code) [i]
11Linear OA(2175, 203, F2, 62) (dual of [203, 28, 63]-code) [i]
12Linear OA(2185, 217, F2, 65) (dual of [217, 32, 66]-code) [i]
13Linear OA(2182, 210, F2, 65) (dual of [210, 28, 66]-code) [i]
14Linear OA(2189, 217, F2, 68) (dual of [217, 28, 69]-code) [i]
15Linear OA(2260, 65544, F2, 32) (dual of [65544, 65284, 33]-code) [i]Construction X with Cyclic Codes
16Linear OA(2189, 331, F2, 48) (dual of [331, 142, 49]-code) [i]Construction X with VarÅ¡amov Bound
17Linear OA(2193, 331, F2, 50) (dual of [331, 138, 51]-code) [i]
18Linear OA(2212, 578, F2, 44) (dual of [578, 366, 45]-code) [i]
19Linear OA(2213, 580, F2, 44) (dual of [580, 367, 45]-code) [i]
20Linear OA(2214, 582, F2, 44) (dual of [582, 368, 45]-code) [i]
21Linear OA(2215, 341, F2, 58) (dual of [341, 126, 59]-code) [i]
22Linear OA(2221, 578, F2, 46) (dual of [578, 357, 47]-code) [i]
23Linear OA(2222, 580, F2, 46) (dual of [580, 358, 47]-code) [i]
24Linear OA(2223, 582, F2, 46) (dual of [582, 359, 47]-code) [i]
25Linear OA(2228, 390, F2, 58) (dual of [390, 162, 59]-code) [i]
26Linear OA(2229, 392, F2, 58) (dual of [392, 163, 59]-code) [i]
27Linear OA(2233, 390, F2, 60) (dual of [390, 157, 61]-code) [i]
28Linear OA(2234, 392, F2, 60) (dual of [392, 158, 61]-code) [i]
29Linear OA(2237, 351, F2, 66) (dual of [351, 114, 67]-code) [i]
30Linear OA(2238, 390, F2, 62) (dual of [390, 152, 63]-code) [i]
31Linear OA(2239, 392, F2, 62) (dual of [392, 153, 63]-code) [i]
32Linear OA(2239, 567, F2, 52) (dual of [567, 328, 53]-code) [i]
33Linear OA(2240, 569, F2, 52) (dual of [569, 329, 53]-code) [i]
34Linear OA(2241, 351, F2, 68) (dual of [351, 110, 69]-code) [i]
35Linear OA(2243, 390, F2, 64) (dual of [390, 147, 65]-code) [i]
36Linear OA(2244, 392, F2, 64) (dual of [392, 148, 65]-code) [i]
37Linear OA(2245, 351, F2, 70) (dual of [351, 106, 71]-code) [i]
38Linear OA(2247, 570, F2, 54) (dual of [570, 323, 55]-code) [i]
39Linear OA(2248, 390, F2, 66) (dual of [390, 142, 67]-code) [i]
40Linear OA(2249, 392, F2, 66) (dual of [392, 143, 67]-code) [i]
41Linear OA(2249, 351, F2, 72) (dual of [351, 102, 73]-code) [i]
42Linear OA(2251, 465, F2, 60) (dual of [465, 214, 61]-code) [i]
43Linear OA(2253, 351, F2, 74) (dual of [351, 98, 75]-code) [i]
44Linear OA(2253, 390, F2, 68) (dual of [390, 137, 69]-code) [i]
45Linear OA(2257, 351, F2, 76) (dual of [351, 94, 77]-code) [i]
46Linear OA(2260, 565, F2, 58) (dual of [565, 305, 59]-code) [i]
47Linear OOA(23, 7, F2, 2, 2) (dual of [(7, 2), 11, 3]-NRT-code) [i]Appending kth Column