Information on Result #622375

Linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using extended algebraic-geometric code AGe(F,12P) 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(1688, 99, F16, 62) (dual of [99, 11, 63]-code) [i]Repeating Each Code Word
2Linear OA(16121, 132, F16, 83) (dual of [132, 11, 84]-code) [i]
3Linear OA(1686, 96, F16, 62) (dual of [96, 10, 63]-code) [i]
4Linear OA(16118, 128, F16, 83) (dual of [128, 10, 84]-code) [i]
5Linear OA(16115, 124, F16, 83) (dual of [124, 9, 84]-code) [i]
6Linear OA(16112, 120, F16, 83) (dual of [120, 8, 84]-code) [i]
7Linear OA(16109, 116, F16, 83) (dual of [116, 7, 84]-code) [i]
8Linear OA(16106, 112, F16, 83) (dual of [112, 6, 84]-code) [i]
9Linear OA(16103, 108, F16, 83) (dual of [108, 5, 84]-code) [i]
10Linear OA(16130, 135, F16, 104) (dual of [135, 5, 105]-code) [i]
11Linear OA(1687, 98, F16, 69) (dual of [98, 11, 70]-code) [i]Juxtaposition
12Linear OA(1687, 97, F16, 70) (dual of [97, 10, 71]-code) [i]
13Linear OA(1687, 96, F16, 71) (dual of [96, 9, 72]-code) [i]
14Linear OA(1687, 95, F16, 72) (dual of [95, 8, 73]-code) [i]
15Linear OA(1687, 94, F16, 73) (dual of [94, 7, 74]-code) [i]
16Linear OA(1686, 92, F16, 74) (dual of [92, 6, 75]-code) [i]
17Linear OA(1686, 91, F16, 75) (dual of [91, 5, 76]-code) [i]
18Linear OA(1686, 90, F16, 76) (dual of [90, 4, 77]-code) [i]
19Linear OA(2121, 165, F2, 41) (dual of [165, 44, 42]-code) [i]Concatenation of Two Codes
20Linear OA(2120, 160, F2, 41) (dual of [160, 40, 42]-code) [i]
21Linear OA(2119, 155, F2, 41) (dual of [155, 36, 42]-code) [i]
22Linear OA(2118, 150, F2, 41) (dual of [150, 32, 42]-code) [i]
23Linear OA(2181, 217, F2, 62) (dual of [217, 36, 63]-code) [i]
24Linear OA(2178, 210, F2, 62) (dual of [210, 32, 63]-code) [i]
25Linear OA(2175, 203, F2, 62) (dual of [203, 28, 63]-code) [i]
26Linear OA(2204, 232, F2, 83) (dual of [232, 28, 84]-code) [i]
27Linear OA(2200, 224, F2, 83) (dual of [224, 24, 84]-code) [i]
28Linear OA(2196, 216, F2, 83) (dual of [216, 20, 84]-code) [i]
29Linear OA(477, 99, F4, 41) (dual of [99, 22, 42]-code) [i]
30Linear OA(476, 96, F4, 41) (dual of [96, 20, 42]-code) [i]
31Linear OA(475, 93, F4, 41) (dual of [93, 18, 42]-code) [i]
32Linear OA(474, 90, F4, 41) (dual of [90, 16, 42]-code) [i]
33Linear OA(4110, 132, F4, 62) (dual of [132, 22, 63]-code) [i]
34Linear OA(4108, 128, F4, 62) (dual of [128, 20, 63]-code) [i]
35Linear OA(4106, 124, F4, 62) (dual of [124, 18, 63]-code) [i]
36Linear OA(4104, 120, F4, 62) (dual of [120, 16, 63]-code) [i]
37Linear OA(4102, 116, F4, 62) (dual of [116, 14, 63]-code) [i]
38Linear OA(4100, 112, F4, 62) (dual of [112, 12, 63]-code) [i]
39Linear OA(498, 108, F4, 62) (dual of [108, 10, 63]-code) [i]
40Linear OA(496, 104, F4, 62) (dual of [104, 8, 63]-code) [i]
41Linear OA(4143, 165, F4, 83) (dual of [165, 22, 84]-code) [i]
42Linear OA(4140, 160, F4, 83) (dual of [160, 20, 84]-code) [i]
43Linear OA(4137, 155, F4, 83) (dual of [155, 18, 84]-code) [i]
44Linear OA(4134, 150, F4, 83) (dual of [150, 16, 84]-code) [i]
45Linear OA(4131, 145, F4, 83) (dual of [145, 14, 84]-code) [i]
46Linear OA(4128, 140, F4, 83) (dual of [140, 12, 84]-code) [i]
47Linear OA(4125, 135, F4, 83) (dual of [135, 10, 84]-code) [i]
48Linear OOA(2154, 99, F2, 2, 62) (dual of [(99, 2), 44, 63]-NRT-code) [i]Concatenation of Two NRT-Codes
49Linear OOA(2152, 96, F2, 2, 62) (dual of [(96, 2), 40, 63]-NRT-code) [i]
50Linear OOA(2150, 93, F2, 2, 62) (dual of [(93, 2), 36, 63]-NRT-code) [i]
51Linear OOA(2148, 90, F2, 2, 62) (dual of [(90, 2), 32, 63]-NRT-code) [i]
52Linear OOA(2146, 87, F2, 2, 62) (dual of [(87, 2), 28, 63]-NRT-code) [i]
53Linear OOA(2256, 140, F2, 2, 125) (dual of [(140, 2), 24, 126]-NRT-code) [i]
54Linear OOA(2250, 135, F2, 2, 125) (dual of [(135, 2), 20, 126]-NRT-code) [i]
55Linear OOA(4176, 99, F4, 2, 104) (dual of [(99, 2), 22, 105]-NRT-code) [i]
56Linear OOA(4172, 96, F4, 2, 104) (dual of [(96, 2), 20, 105]-NRT-code) [i]
57Linear OOA(4168, 93, F4, 2, 104) (dual of [(93, 2), 18, 105]-NRT-code) [i]
58Linear OOA(4164, 90, F4, 2, 104) (dual of [(90, 2), 16, 105]-NRT-code) [i]
59Linear OOA(4160, 87, F4, 2, 104) (dual of [(87, 2), 14, 105]-NRT-code) [i]
60Linear OOA(4156, 84, F4, 2, 104) (dual of [(84, 2), 12, 105]-NRT-code) [i]
61Linear OOA(4230, 124, F4, 2, 146) (dual of [(124, 2), 18, 147]-NRT-code) [i]
62Linear OOA(4212, 112, F4, 2, 146) (dual of [(112, 2), 12, 147]-NRT-code) [i]
63Linear OOA(4206, 108, F4, 2, 146) (dual of [(108, 2), 10, 147]-NRT-code) [i]
64Linear OOA(4200, 104, F4, 2, 146) (dual of [(104, 2), 8, 147]-NRT-code) [i]
65Linear OOA(2152, 64, F2, 3, 62) (dual of [(64, 3), 40, 63]-NRT-code) [i]
66Linear OOA(2150, 62, F2, 3, 62) (dual of [(62, 3), 36, 63]-NRT-code) [i]
67Linear OOA(2148, 60, F2, 3, 62) (dual of [(60, 3), 32, 63]-NRT-code) [i]
68Linear OOA(2146, 58, F2, 3, 62) (dual of [(58, 3), 28, 63]-NRT-code) [i]
69Linear OOA(2253, 99, F2, 3, 125) (dual of [(99, 3), 44, 126]-NRT-code) [i]
70Linear OOA(2248, 96, F2, 3, 125) (dual of [(96, 3), 40, 126]-NRT-code) [i]
71Linear OOA(2243, 93, F2, 3, 125) (dual of [(93, 3), 36, 126]-NRT-code) [i]
72Linear OOA(2238, 90, F2, 3, 125) (dual of [(90, 3), 32, 126]-NRT-code) [i]
73Linear OOA(2233, 87, F2, 3, 125) (dual of [(87, 3), 28, 126]-NRT-code) [i]
74Linear OOA(2228, 84, F2, 3, 125) (dual of [(84, 3), 24, 126]-NRT-code) [i]
75Linear OOA(2223, 81, F2, 3, 125) (dual of [(81, 3), 20, 126]-NRT-code) [i]
76Linear OOA(2218, 78, F2, 3, 125) (dual of [(78, 3), 16, 126]-NRT-code) [i]
77Linear OOA(2220, 66, F2, 4, 104) (dual of [(66, 4), 44, 105]-NRT-code) [i]
78Linear OOA(2216, 64, F2, 4, 104) (dual of [(64, 4), 40, 105]-NRT-code) [i]
79Linear OOA(2212, 62, F2, 4, 104) (dual of [(62, 4), 36, 105]-NRT-code) [i]
80Linear OOA(2208, 60, F2, 4, 104) (dual of [(60, 4), 32, 105]-NRT-code) [i]
81Linear OOA(2204, 58, F2, 4, 104) (dual of [(58, 4), 28, 105]-NRT-code) [i]