Information on Result #622376

Linear OA(1623, 33, F16, 21) (dual of [33, 10, 22]-code), using extended algebraic-geometric code AGe(F,11P) 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(1689, 99, F16, 65) (dual of [99, 10, 66]-code) [i]Repeating Each Code Word
2Linear OA(16122, 132, F16, 87) (dual of [132, 10, 88]-code) [i]
3Linear OA(1687, 96, F16, 65) (dual of [96, 9, 66]-code) [i]
4Linear OA(16119, 128, F16, 87) (dual of [128, 9, 88]-code) [i]
5Linear OA(1685, 93, F16, 65) (dual of [93, 8, 66]-code) [i]
6Linear OA(16116, 124, F16, 87) (dual of [124, 8, 88]-code) [i]
7Linear OA(16113, 120, F16, 87) (dual of [120, 7, 88]-code) [i]
8Linear OA(16110, 116, F16, 87) (dual of [116, 6, 88]-code) [i]
9Linear OA(16107, 112, F16, 87) (dual of [112, 5, 88]-code) [i]
10Linear OA(1688, 98, F16, 71) (dual of [98, 10, 72]-code) [i]Juxtaposition
11Linear OA(1688, 97, F16, 72) (dual of [97, 9, 73]-code) [i]
12Linear OA(1688, 96, F16, 73) (dual of [96, 8, 74]-code) [i]
13Linear OA(1688, 95, F16, 74) (dual of [95, 7, 75]-code) [i]
14Linear OA(1687, 93, F16, 75) (dual of [93, 6, 76]-code) [i]
15Linear OA(1687, 92, F16, 76) (dual of [92, 5, 77]-code) [i]
16Linear OA(1687, 91, F16, 77) (dual of [91, 4, 78]-code) [i]
17Linear OA(2123, 155, F2, 43) (dual of [155, 32, 44]-code) [i]Concatenation of Two Codes
18Linear OA(2185, 217, F2, 65) (dual of [217, 32, 66]-code) [i]
19Linear OA(2182, 210, F2, 65) (dual of [210, 28, 66]-code) [i]
20Linear OA(2208, 232, F2, 87) (dual of [232, 24, 88]-code) [i]
21Linear OA(2204, 224, F2, 87) (dual of [224, 20, 88]-code) [i]
22Linear OA(479, 99, F4, 43) (dual of [99, 20, 44]-code) [i]
23Linear OA(478, 96, F4, 43) (dual of [96, 18, 44]-code) [i]
24Linear OA(477, 93, F4, 43) (dual of [93, 16, 44]-code) [i]
25Linear OA(476, 90, F4, 43) (dual of [90, 14, 44]-code) [i]
26Linear OA(475, 87, F4, 43) (dual of [87, 12, 44]-code) [i]
27Linear OA(4112, 132, F4, 65) (dual of [132, 20, 66]-code) [i]
28Linear OA(4110, 128, F4, 65) (dual of [128, 18, 66]-code) [i]
29Linear OA(4108, 124, F4, 65) (dual of [124, 16, 66]-code) [i]
30Linear OA(4106, 120, F4, 65) (dual of [120, 14, 66]-code) [i]
31Linear OA(4104, 116, F4, 65) (dual of [116, 12, 66]-code) [i]
32Linear OA(4102, 112, F4, 65) (dual of [112, 10, 66]-code) [i]
33Linear OA(4145, 165, F4, 87) (dual of [165, 20, 88]-code) [i]
34Linear OA(4142, 160, F4, 87) (dual of [160, 18, 88]-code) [i]
35Linear OA(4139, 155, F4, 87) (dual of [155, 16, 88]-code) [i]
36Linear OA(4136, 150, F4, 87) (dual of [150, 14, 88]-code) [i]
37Linear OA(4133, 145, F4, 87) (dual of [145, 12, 88]-code) [i]
38Linear OA(4130, 140, F4, 87) (dual of [140, 10, 88]-code) [i]
39Linear OOA(2158, 99, F2, 2, 65) (dual of [(99, 2), 40, 66]-NRT-code) [i]Concatenation of Two NRT-Codes
40Linear OOA(2156, 96, F2, 2, 65) (dual of [(96, 2), 36, 66]-NRT-code) [i]
41Linear OOA(2154, 93, F2, 2, 65) (dual of [(93, 2), 32, 66]-NRT-code) [i]
42Linear OOA(2152, 90, F2, 2, 65) (dual of [(90, 2), 28, 66]-NRT-code) [i]
43Linear OOA(2260, 140, F2, 2, 131) (dual of [(140, 2), 20, 132]-NRT-code) [i]
44Linear OOA(4178, 99, F4, 2, 109) (dual of [(99, 2), 20, 110]-NRT-code) [i]
45Linear OOA(4174, 96, F4, 2, 109) (dual of [(96, 2), 18, 110]-NRT-code) [i]
46Linear OOA(4170, 93, F4, 2, 109) (dual of [(93, 2), 16, 110]-NRT-code) [i]
47Linear OOA(4166, 90, F4, 2, 109) (dual of [(90, 2), 14, 110]-NRT-code) [i]
48Linear OOA(4162, 87, F4, 2, 109) (dual of [(87, 2), 12, 110]-NRT-code) [i]
49Linear OOA(4158, 84, F4, 2, 109) (dual of [(84, 2), 10, 110]-NRT-code) [i]
50Linear OOA(4238, 128, F4, 2, 153) (dual of [(128, 2), 18, 154]-NRT-code) [i]
51Linear OOA(4220, 116, F4, 2, 153) (dual of [(116, 2), 12, 154]-NRT-code) [i]
52Linear OOA(4214, 112, F4, 2, 153) (dual of [(112, 2), 10, 154]-NRT-code) [i]
53Linear OOA(4208, 108, F4, 2, 153) (dual of [(108, 2), 8, 154]-NRT-code) [i]
54Linear OOA(4202, 104, F4, 2, 153) (dual of [(104, 2), 6, 154]-NRT-code) [i]
55Linear OOA(2158, 66, F2, 3, 65) (dual of [(66, 3), 40, 66]-NRT-code) [i]
56Linear OOA(2156, 64, F2, 3, 65) (dual of [(64, 3), 36, 66]-NRT-code) [i]
57Linear OOA(2154, 62, F2, 3, 65) (dual of [(62, 3), 32, 66]-NRT-code) [i]
58Linear OOA(2152, 60, F2, 3, 65) (dual of [(60, 3), 28, 66]-NRT-code) [i]
59Linear OOA(2257, 99, F2, 3, 131) (dual of [(99, 3), 40, 132]-NRT-code) [i]
60Linear OOA(2252, 96, F2, 3, 131) (dual of [(96, 3), 36, 132]-NRT-code) [i]
61Linear OOA(2247, 93, F2, 3, 131) (dual of [(93, 3), 32, 132]-NRT-code) [i]
62Linear OOA(2242, 90, F2, 3, 131) (dual of [(90, 3), 28, 132]-NRT-code) [i]
63Linear OOA(2237, 87, F2, 3, 131) (dual of [(87, 3), 24, 132]-NRT-code) [i]
64Linear OOA(2232, 84, F2, 3, 131) (dual of [(84, 3), 20, 132]-NRT-code) [i]
65Linear OOA(2227, 81, F2, 3, 131) (dual of [(81, 3), 16, 132]-NRT-code) [i]