Information on Result #736323

Linear OA(211, 44, F2, 4) (dual of [44, 33, 5]-code), using a quasi-cyclic code by Gulliver and Bhargava

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(2139, 557, F2, 28) (dual of [557, 418, 29]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2148, 557, F2, 30) (dual of [557, 409, 31]-code) [i]
3Linear OA(2157, 557, F2, 32) (dual of [557, 400, 33]-code) [i]
4Linear OA(2194, 576, F2, 40) (dual of [576, 382, 41]-code) [i]
5Linear OA(2188, 561, F2, 40) (dual of [561, 373, 41]-code) [i]
6Linear OA(2203, 576, F2, 42) (dual of [576, 373, 43]-code) [i]
7Linear OA(2193, 557, F2, 42) (dual of [557, 364, 43]-code) [i]
8Linear OA(2196, 561, F2, 42) (dual of [561, 365, 43]-code) [i]
9Linear OA(2207, 571, F2, 44) (dual of [571, 364, 45]-code) [i]
10Linear OA(2202, 557, F2, 44) (dual of [557, 355, 45]-code) [i]
11Linear OA(2205, 561, F2, 44) (dual of [561, 356, 45]-code) [i]
12Linear OA(2211, 576, F2, 44) (dual of [576, 365, 45]-code) [i]
13Linear OA(2216, 571, F2, 46) (dual of [571, 355, 47]-code) [i]
14Linear OA(2211, 557, F2, 46) (dual of [557, 346, 47]-code) [i]
15Linear OA(2214, 561, F2, 46) (dual of [561, 347, 47]-code) [i]
16Linear OA(2220, 576, F2, 46) (dual of [576, 356, 47]-code) [i]
17Linear OA(2225, 571, F2, 48) (dual of [571, 346, 49]-code) [i]
18Linear OA(2220, 557, F2, 48) (dual of [557, 337, 49]-code) [i]
19Linear OA(2223, 561, F2, 48) (dual of [561, 338, 49]-code) [i]
20Linear OA(2229, 576, F2, 48) (dual of [576, 347, 49]-code) [i]
21Linear OA(2257, 576, F2, 56) (dual of [576, 319, 57]-code) [i]
22Linear OA(2251, 561, F2, 56) (dual of [561, 310, 57]-code) [i]
23Linear OA(2256, 557, F2, 58) (dual of [557, 301, 59]-code) [i]
24Linear OA(2259, 561, F2, 58) (dual of [561, 302, 59]-code) [i]
25Linear OA(2153, 1070, F2, 28) (dual of [1070, 917, 29]-code) [i]
26Linear OA(2163, 1070, F2, 30) (dual of [1070, 907, 31]-code) [i]
27Linear OA(2173, 1070, F2, 32) (dual of [1070, 897, 33]-code) [i]
28Linear OA(2191, 1074, F2, 36) (dual of [1074, 883, 37]-code) [i]
29Linear OA(2188, 1070, F2, 36) (dual of [1070, 882, 37]-code) [i]
30Linear OA(2208, 1085, F2, 38) (dual of [1085, 877, 39]-code) [i]
31Linear OA(2201, 1074, F2, 38) (dual of [1074, 873, 39]-code) [i]
32Linear OA(2198, 1070, F2, 38) (dual of [1070, 872, 39]-code) [i]
33Linear OA(2207, 1090, F2, 38) (dual of [1090, 883, 39]-code) [i]
34Linear OA(2203, 1085, F2, 38) (dual of [1085, 882, 39]-code) [i]
35Linear OA(2219, 1095, F2, 40) (dual of [1095, 876, 41]-code) [i]
36Linear OA(2213, 1080, F2, 40) (dual of [1080, 867, 41]-code) [i]
37Linear OA(2211, 1074, F2, 40) (dual of [1074, 863, 41]-code) [i]
38Linear OA(2208, 1070, F2, 40) (dual of [1070, 862, 41]-code) [i]
39Linear OA(2217, 1090, F2, 40) (dual of [1090, 873, 41]-code) [i]
40Linear OA(2213, 1085, F2, 40) (dual of [1085, 872, 41]-code) [i]
41Linear OA(2229, 1095, F2, 42) (dual of [1095, 866, 43]-code) [i]
42Linear OA(2223, 1080, F2, 42) (dual of [1080, 857, 43]-code) [i]
43Linear OA(2218, 1070, F2, 42) (dual of [1070, 852, 43]-code) [i]
44Linear OA(2221, 1074, F2, 42) (dual of [1074, 853, 43]-code) [i]
45Linear OA(2227, 1090, F2, 42) (dual of [1090, 863, 43]-code) [i]
46Linear OA(2223, 1085, F2, 42) (dual of [1085, 862, 43]-code) [i]
47Linear OA(2239, 1095, F2, 44) (dual of [1095, 856, 45]-code) [i]
48Linear OA(2233, 1085, F2, 44) (dual of [1085, 852, 45]-code) [i]
49Linear OA(2228, 1070, F2, 44) (dual of [1070, 842, 45]-code) [i]
50Linear OA(2231, 1074, F2, 44) (dual of [1074, 843, 45]-code) [i]
51Linear OA(2237, 1090, F2, 44) (dual of [1090, 853, 45]-code) [i]
52Linear OA(2243, 1085, F2, 46) (dual of [1085, 842, 47]-code) [i]
53Linear OA(2238, 1070, F2, 46) (dual of [1070, 832, 47]-code) [i]
54Linear OA(2249, 1095, F2, 46) (dual of [1095, 846, 47]-code) [i]
55Linear OA(2241, 1074, F2, 46) (dual of [1074, 833, 47]-code) [i]
56Linear OA(2247, 1090, F2, 46) (dual of [1090, 843, 47]-code) [i]
57Linear OA(2253, 1085, F2, 48) (dual of [1085, 832, 49]-code) [i]
58Linear OA(2248, 1070, F2, 48) (dual of [1070, 822, 49]-code) [i]
59Linear OA(2251, 1074, F2, 48) (dual of [1074, 823, 49]-code) [i]
60Linear OA(2259, 1095, F2, 48) (dual of [1095, 836, 49]-code) [i]
61Linear OA(2257, 1090, F2, 48) (dual of [1090, 833, 49]-code) [i]
62Linear OA(2258, 1070, F2, 50) (dual of [1070, 812, 51]-code) [i]