Information on Result #2174854

Linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using adding a parity check bit based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using

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(2253, 65581, F2, 31) (dual of [65581, 65328, 32]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2221, 65581, F2, 27) (dual of [65581, 65360, 28]-code) [i]
3Linear OA(2253, 32813, F2, 33) (dual of [32813, 32560, 34]-code) [i]
4Linear OA(2238, 32813, F2, 31) (dual of [32813, 32575, 32]-code) [i]
5Linear OA(2223, 32813, F2, 29) (dual of [32813, 32590, 30]-code) [i]
6Linear OA(2208, 32813, F2, 27) (dual of [32813, 32605, 28]-code) [i]
7Linear OA(2251, 16429, F2, 35) (dual of [16429, 16178, 36]-code) [i]
8Linear OA(2237, 16429, F2, 33) (dual of [16429, 16192, 34]-code) [i]
9Linear OA(2223, 16429, F2, 31) (dual of [16429, 16206, 32]-code) [i]
10Linear OA(2209, 16429, F2, 29) (dual of [16429, 16220, 30]-code) [i]
11Linear OA(2195, 16429, F2, 27) (dual of [16429, 16234, 28]-code) [i]
12Linear OA(2260, 8237, F2, 39) (dual of [8237, 7977, 40]-code) [i]
13Linear OA(2247, 8237, F2, 37) (dual of [8237, 7990, 38]-code) [i]
14Linear OA(2234, 8237, F2, 35) (dual of [8237, 8003, 36]-code) [i]
15Linear OA(2221, 8237, F2, 33) (dual of [8237, 8016, 34]-code) [i]
16Linear OA(2208, 8237, F2, 31) (dual of [8237, 8029, 32]-code) [i]
17Linear OA(2195, 8237, F2, 29) (dual of [8237, 8042, 30]-code) [i]
18Linear OA(2182, 8237, F2, 27) (dual of [8237, 8055, 28]-code) [i]
19Linear OA(2253, 4141, F2, 41) (dual of [4141, 3888, 42]-code) [i]
20Linear OA(2241, 4141, F2, 39) (dual of [4141, 3900, 40]-code) [i]
21Linear OA(2229, 4141, F2, 37) (dual of [4141, 3912, 38]-code) [i]
22Linear OA(2217, 4141, F2, 35) (dual of [4141, 3924, 36]-code) [i]
23Linear OA(2205, 4141, F2, 33) (dual of [4141, 3936, 34]-code) [i]
24Linear OA(2193, 4141, F2, 31) (dual of [4141, 3948, 32]-code) [i]
25Linear OA(2181, 4141, F2, 29) (dual of [4141, 3960, 30]-code) [i]
26Linear OA(2169, 4141, F2, 27) (dual of [4141, 3972, 28]-code) [i]
27Linear OA(2255, 2093, F2, 45) (dual of [2093, 1838, 46]-code) [i]
28Linear OA(2244, 2093, F2, 43) (dual of [2093, 1849, 44]-code) [i]
29Linear OA(2233, 2093, F2, 41) (dual of [2093, 1860, 42]-code) [i]
30Linear OA(2222, 2093, F2, 39) (dual of [2093, 1871, 40]-code) [i]
31Linear OA(2211, 2093, F2, 37) (dual of [2093, 1882, 38]-code) [i]
32Linear OA(2200, 2093, F2, 35) (dual of [2093, 1893, 36]-code) [i]
33Linear OA(2189, 2093, F2, 33) (dual of [2093, 1904, 34]-code) [i]
34Linear OA(2178, 2093, F2, 31) (dual of [2093, 1915, 32]-code) [i]
35Linear OA(2167, 2093, F2, 29) (dual of [2093, 1926, 30]-code) [i]
36Linear OA(2156, 2093, F2, 27) (dual of [2093, 1937, 28]-code) [i]
37Linear OA(2251, 131120, F2, 29) (dual of [131120, 130869, 30]-code) [i]
38Linear OA(2234, 131120, F2, 27) (dual of [131120, 130886, 28]-code) [i]
39Linear OA(2253, 65584, F2, 31) (dual of [65584, 65331, 32]-code) [i]
40Linear OA(2237, 65584, F2, 29) (dual of [65584, 65347, 30]-code) [i]
41Linear OA(2221, 65584, F2, 27) (dual of [65584, 65363, 28]-code) [i]
42Linear OA(2253, 32816, F2, 33) (dual of [32816, 32563, 34]-code) [i]
43Linear OA(2238, 32816, F2, 31) (dual of [32816, 32578, 32]-code) [i]
44Linear OA(2223, 32816, F2, 29) (dual of [32816, 32593, 30]-code) [i]
45Linear OA(2208, 32816, F2, 27) (dual of [32816, 32608, 28]-code) [i]
46Linear OA(2251, 16432, F2, 35) (dual of [16432, 16181, 36]-code) [i]
47Linear OA(2237, 16432, F2, 33) (dual of [16432, 16195, 34]-code) [i]
48Linear OA(2223, 16432, F2, 31) (dual of [16432, 16209, 32]-code) [i]
49Linear OA(2209, 16432, F2, 29) (dual of [16432, 16223, 30]-code) [i]
50Linear OA(2195, 16432, F2, 27) (dual of [16432, 16237, 28]-code) [i]
51Linear OA(2260, 8240, F2, 39) (dual of [8240, 7980, 40]-code) [i]
52Linear OA(2247, 8240, F2, 37) (dual of [8240, 7993, 38]-code) [i]
53Linear OA(2234, 8240, F2, 35) (dual of [8240, 8006, 36]-code) [i]
54Linear OA(2221, 8240, F2, 33) (dual of [8240, 8019, 34]-code) [i]
55Linear OA(2208, 8240, F2, 31) (dual of [8240, 8032, 32]-code) [i]
56Linear OA(2195, 8240, F2, 29) (dual of [8240, 8045, 30]-code) [i]
57Linear OA(2182, 8240, F2, 27) (dual of [8240, 8058, 28]-code) [i]
58Linear OA(2253, 4144, F2, 41) (dual of [4144, 3891, 42]-code) [i]
59Linear OA(2241, 4144, F2, 39) (dual of [4144, 3903, 40]-code) [i]
60Linear OA(2229, 4144, F2, 37) (dual of [4144, 3915, 38]-code) [i]
61Linear OA(2217, 4144, F2, 35) (dual of [4144, 3927, 36]-code) [i]
62Linear OA(2205, 4144, F2, 33) (dual of [4144, 3939, 34]-code) [i]
63Linear OA(2193, 4144, F2, 31) (dual of [4144, 3951, 32]-code) [i]
64Linear OA(2181, 4144, F2, 29) (dual of [4144, 3963, 30]-code) [i]
65Linear OA(2169, 4144, F2, 27) (dual of [4144, 3975, 28]-code) [i]
66Linear OOA(212, 24, F2, 2, 5) (dual of [(24, 2), 36, 6]-NRT-code) [i]OOA Folding