Information on Result #622377

Linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-code), using extended algebraic-geometric code AGe(F,10P) based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(1690, 99, F16, 68) (dual of [99, 9, 69]-code) [i]Repeating Each Code Word
2Linear OA(16123, 132, F16, 91) (dual of [132, 9, 92]-code) [i]
3Linear OA(1688, 96, F16, 68) (dual of [96, 8, 69]-code) [i]
4Linear OA(16120, 128, F16, 91) (dual of [128, 8, 92]-code) [i]
5Linear OA(16117, 124, F16, 91) (dual of [124, 7, 92]-code) [i]
6Linear OA(16114, 120, F16, 91) (dual of [120, 6, 92]-code) [i]
7Linear OA(16111, 116, F16, 91) (dual of [116, 5, 92]-code) [i]
8Linear OA(1689, 98, F16, 73) (dual of [98, 9, 74]-code) [i]Juxtaposition
9Linear OA(1689, 97, F16, 74) (dual of [97, 8, 75]-code) [i]
10Linear OA(1689, 96, F16, 75) (dual of [96, 7, 76]-code) [i]
11Linear OA(1688, 94, F16, 76) (dual of [94, 6, 77]-code) [i]
12Linear OA(1688, 93, F16, 77) (dual of [93, 5, 78]-code) [i]
13Linear OA(1688, 92, F16, 78) (dual of [92, 4, 79]-code) [i]
14Linear OA(2127, 155, F2, 45) (dual of [155, 28, 46]-code) [i]Concatenation of Two Codes
15Linear OA(2189, 217, F2, 68) (dual of [217, 28, 69]-code) [i]
16Linear OA(2216, 240, F2, 91) (dual of [240, 24, 92]-code) [i]
17Linear OA(2212, 232, F2, 91) (dual of [232, 20, 92]-code) [i]
18Linear OA(2208, 224, F2, 91) (dual of [224, 16, 92]-code) [i]
19Linear OA(481, 99, F4, 45) (dual of [99, 18, 46]-code) [i]
20Linear OA(480, 96, F4, 45) (dual of [96, 16, 46]-code) [i]
21Linear OA(479, 93, F4, 45) (dual of [93, 14, 46]-code) [i]
22Linear OA(478, 90, F4, 45) (dual of [90, 12, 46]-code) [i]
23Linear OA(4114, 132, F4, 68) (dual of [132, 18, 69]-code) [i]
24Linear OA(4112, 128, F4, 68) (dual of [128, 16, 69]-code) [i]
25Linear OA(4110, 124, F4, 68) (dual of [124, 14, 69]-code) [i]
26Linear OA(4108, 120, F4, 68) (dual of [120, 12, 69]-code) [i]
27Linear OA(4106, 116, F4, 68) (dual of [116, 10, 69]-code) [i]
28Linear OA(4147, 165, F4, 91) (dual of [165, 18, 92]-code) [i]
29Linear OA(4144, 160, F4, 91) (dual of [160, 16, 92]-code) [i]
30Linear OA(4141, 155, F4, 91) (dual of [155, 14, 92]-code) [i]
31Linear OA(4138, 150, F4, 91) (dual of [150, 12, 92]-code) [i]
32Linear OA(4135, 145, F4, 91) (dual of [145, 10, 92]-code) [i]
33Linear OA(4132, 140, F4, 91) (dual of [140, 8, 92]-code) [i]
34Linear OA(4129, 135, F4, 91) (dual of [135, 6, 92]-code) [i]
35Linear OOA(2162, 99, F2, 2, 68) (dual of [(99, 2), 36, 69]-NRT-code) [i]Concatenation of Two NRT-Codes
36Linear OOA(2160, 96, F2, 2, 68) (dual of [(96, 2), 32, 69]-NRT-code) [i]
37Linear OOA(2158, 93, F2, 2, 68) (dual of [(93, 2), 28, 69]-NRT-code) [i]
38Linear OOA(4180, 99, F4, 2, 114) (dual of [(99, 2), 18, 115]-NRT-code) [i]
39Linear OOA(4176, 96, F4, 2, 114) (dual of [(96, 2), 16, 115]-NRT-code) [i]
40Linear OOA(4172, 93, F4, 2, 114) (dual of [(93, 2), 14, 115]-NRT-code) [i]
41Linear OOA(4168, 90, F4, 2, 114) (dual of [(90, 2), 12, 115]-NRT-code) [i]
42Linear OOA(4164, 87, F4, 2, 114) (dual of [(87, 2), 10, 115]-NRT-code) [i]
43Linear OOA(4246, 132, F4, 2, 160) (dual of [(132, 2), 18, 161]-NRT-code) [i]
44Linear OOA(4228, 120, F4, 2, 160) (dual of [(120, 2), 12, 161]-NRT-code) [i]
45Linear OOA(4222, 116, F4, 2, 160) (dual of [(116, 2), 10, 161]-NRT-code) [i]
46Linear OOA(4216, 112, F4, 2, 160) (dual of [(112, 2), 8, 161]-NRT-code) [i]
47Linear OOA(4210, 108, F4, 2, 160) (dual of [(108, 2), 6, 161]-NRT-code) [i]
48Linear OOA(2162, 66, F2, 3, 68) (dual of [(66, 3), 36, 69]-NRT-code) [i]
49Linear OOA(2160, 64, F2, 3, 68) (dual of [(64, 3), 32, 69]-NRT-code) [i]
50Linear OOA(2158, 62, F2, 3, 68) (dual of [(62, 3), 28, 69]-NRT-code) [i]
51Linear OOA(2256, 96, F2, 3, 137) (dual of [(96, 3), 32, 138]-NRT-code) [i]
52Linear OOA(2251, 93, F2, 3, 137) (dual of [(93, 3), 28, 138]-NRT-code) [i]
53Linear OOA(2246, 90, F2, 3, 137) (dual of [(90, 3), 24, 138]-NRT-code) [i]
54Linear OOA(2241, 87, F2, 3, 137) (dual of [(87, 3), 20, 138]-NRT-code) [i]
55Linear OOA(2236, 84, F2, 3, 137) (dual of [(84, 3), 16, 138]-NRT-code) [i]