Information on Result #622370

Linear OA(1617, 33, F16, 15) (dual of [33, 16, 16]-code), using extended algebraic-geometric code AGe(F,17P) 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(434, 66, F4, 15) (dual of [66, 32, 16]-code) [i]Trace Code
2Linear OA(1654, 98, F16, 31) (dual of [98, 44, 32]-code) [i](u, u+v)-Construction
3Linear OA(16105, 4129, F16, 31) (dual of [4129, 4024, 32]-code) [i]
4Linear OA(1653, 98, F16, 30) (dual of [98, 45, 31]-code) [i]
5Linear OA(16102, 4129, F16, 30) (dual of [4129, 4027, 31]-code) [i]
6Linear OA(1682, 98, F16, 59) (dual of [98, 16, 60]-code) [i]Juxtaposition
7Linear OA(1682, 97, F16, 60) (dual of [97, 15, 61]-code) [i]
8Linear OA(1682, 96, F16, 61) (dual of [96, 14, 62]-code) [i]
9Linear OA(1682, 95, F16, 62) (dual of [95, 13, 63]-code) [i]
10Linear OA(1682, 94, F16, 63) (dual of [94, 12, 64]-code) [i]
11Linear OA(1682, 93, F16, 64) (dual of [93, 11, 65]-code) [i]
12Linear OA(1682, 92, F16, 65) (dual of [92, 10, 66]-code) [i]
13Linear OA(1682, 91, F16, 66) (dual of [91, 9, 67]-code) [i]
14Linear OA(2101, 165, F2, 31) (dual of [165, 64, 32]-code) [i]Concatenation of Two Codes
15Linear OA(2100, 160, F2, 31) (dual of [160, 60, 32]-code) [i]
16Linear OA(299, 155, F2, 31) (dual of [155, 56, 32]-code) [i]
17Linear OA(298, 150, F2, 31) (dual of [150, 52, 32]-code) [i]
18Linear OA(297, 145, F2, 31) (dual of [145, 48, 32]-code) [i]
19Linear OA(296, 140, F2, 31) (dual of [140, 44, 32]-code) [i]
20Linear OA(2200, 264, F2, 63) (dual of [264, 64, 64]-code) [i]
21Linear OA(2192, 248, F2, 63) (dual of [248, 56, 64]-code) [i]
22Linear OA(2188, 240, F2, 63) (dual of [240, 52, 64]-code) [i]
23Linear OA(2184, 232, F2, 63) (dual of [232, 48, 64]-code) [i]
24Linear OA(2180, 224, F2, 63) (dual of [224, 44, 64]-code) [i]
25Linear OA(2176, 216, F2, 63) (dual of [216, 40, 64]-code) [i]
26Linear OA(2172, 208, F2, 63) (dual of [208, 36, 64]-code) [i]
27Linear OA(467, 99, F4, 31) (dual of [99, 32, 32]-code) [i]
28Linear OA(466, 96, F4, 31) (dual of [96, 30, 32]-code) [i]
29Linear OA(465, 93, F4, 31) (dual of [93, 28, 32]-code) [i]
30Linear OA(464, 90, F4, 31) (dual of [90, 26, 32]-code) [i]
31Linear OA(463, 87, F4, 31) (dual of [87, 24, 32]-code) [i]
32Linear OA(461, 81, F4, 31) (dual of [81, 20, 32]-code) [i]
33Linear OA(460, 78, F4, 31) (dual of [78, 18, 32]-code) [i]
34Linear OA(486, 104, F4, 47) (dual of [104, 18, 48]-code) [i]
35Linear OOA(2134, 99, F2, 2, 47) (dual of [(99, 2), 64, 48]-NRT-code) [i]Concatenation of Two NRT-Codes
36Linear OOA(2132, 96, F2, 2, 47) (dual of [(96, 2), 60, 48]-NRT-code) [i]
37Linear OOA(2130, 93, F2, 2, 47) (dual of [(93, 2), 56, 48]-NRT-code) [i]
38Linear OOA(2128, 90, F2, 2, 47) (dual of [(90, 2), 52, 48]-NRT-code) [i]
39Linear OOA(2126, 87, F2, 2, 47) (dual of [(87, 2), 48, 48]-NRT-code) [i]
40Linear OOA(2124, 84, F2, 2, 47) (dual of [(84, 2), 44, 48]-NRT-code) [i]
41Linear OOA(2122, 81, F2, 2, 47) (dual of [(81, 2), 40, 48]-NRT-code) [i]
42Linear OOA(2120, 78, F2, 2, 47) (dual of [(78, 2), 36, 48]-NRT-code) [i]
43Linear OOA(2236, 140, F2, 2, 95) (dual of [(140, 2), 44, 96]-NRT-code) [i]
44Linear OOA(2224, 130, F2, 2, 95) (dual of [(130, 2), 36, 96]-NRT-code) [i]
45Linear OOA(2233, 99, F2, 3, 95) (dual of [(99, 3), 64, 96]-NRT-code) [i]
46Linear OOA(2228, 96, F2, 3, 95) (dual of [(96, 3), 60, 96]-NRT-code) [i]
47Linear OOA(2223, 93, F2, 3, 95) (dual of [(93, 3), 56, 96]-NRT-code) [i]
48Linear OOA(2218, 90, F2, 3, 95) (dual of [(90, 3), 52, 96]-NRT-code) [i]
49Linear OOA(2213, 87, F2, 3, 95) (dual of [(87, 3), 48, 96]-NRT-code) [i]
50Linear OOA(2208, 84, F2, 3, 95) (dual of [(84, 3), 44, 96]-NRT-code) [i]
51Linear OOA(2203, 81, F2, 3, 95) (dual of [(81, 3), 40, 96]-NRT-code) [i]
52Linear OOA(2198, 78, F2, 3, 95) (dual of [(78, 3), 36, 96]-NRT-code) [i]
53Linear OA(1680, 91, F16, 63) (dual of [91, 11, 64]-code) [i]Construction X with Algebraic-Geometric Codes
54Linear OA(1680, 97, F16, 57) (dual of [97, 17, 58]-code) [i]
55Linear OA(1679, 97, F16, 56) (dual of [97, 18, 57]-code) [i]
56Linear OA(1678, 97, F16, 55) (dual of [97, 19, 56]-code) [i]
57Linear OA(1677, 97, F16, 54) (dual of [97, 20, 55]-code) [i]
58Linear OA(1676, 97, F16, 53) (dual of [97, 21, 54]-code) [i]
59Linear OA(1675, 97, F16, 52) (dual of [97, 22, 53]-code) [i]
60Linear OA(1674, 97, F16, 51) (dual of [97, 23, 52]-code) [i]
61Linear OA(1673, 97, F16, 50) (dual of [97, 24, 51]-code) [i]
62Linear OA(1672, 97, F16, 49) (dual of [97, 25, 50]-code) [i]
63Linear OA(1671, 97, F16, 48) (dual of [97, 26, 49]-code) [i]
64Linear OA(1670, 97, F16, 47) (dual of [97, 27, 48]-code) [i]
65Linear OA(1669, 97, F16, 46) (dual of [97, 28, 47]-code) [i]
66Linear OA(1668, 97, F16, 45) (dual of [97, 29, 46]-code) [i]
67Linear OA(1667, 97, F16, 44) (dual of [97, 30, 45]-code) [i]
68Linear OA(1666, 97, F16, 43) (dual of [97, 31, 44]-code) [i]
69Linear OA(1665, 97, F16, 42) (dual of [97, 32, 43]-code) [i]
70Linear OA(1664, 97, F16, 41) (dual of [97, 33, 42]-code) [i]
71Linear OA(1663, 97, F16, 40) (dual of [97, 34, 41]-code) [i]
72Linear OA(1662, 97, F16, 39) (dual of [97, 35, 40]-code) [i]
73Linear OA(1661, 97, F16, 38) (dual of [97, 36, 39]-code) [i]
74Linear OA(1660, 97, F16, 37) (dual of [97, 37, 38]-code) [i]
75Linear OA(1659, 97, F16, 36) (dual of [97, 38, 37]-code) [i]
76Linear OA(1658, 97, F16, 35) (dual of [97, 39, 36]-code) [i]
77Linear OA(1657, 97, F16, 34) (dual of [97, 40, 35]-code) [i]
78Linear OA(1656, 97, F16, 33) (dual of [97, 41, 34]-code) [i]
79Linear OA(1655, 97, F16, 32) (dual of [97, 42, 33]-code) [i]
80Linear OA(1654, 97, F16, 31) (dual of [97, 43, 32]-code) [i]
81Linear OA(1653, 97, F16, 30) (dual of [97, 44, 31]-code) [i]
82Linear OA(1652, 97, F16, 29) (dual of [97, 45, 30]-code) [i]
83Linear OA(1651, 97, F16, 28) (dual of [97, 46, 29]-code) [i]
84Linear OA(1679, 94, F16, 59) (dual of [94, 15, 60]-code) [i]
85Linear OA(1678, 94, F16, 58) (dual of [94, 16, 59]-code) [i]
86Linear OA(1677, 96, F16, 55) (dual of [96, 19, 56]-code) [i]
87Linear OA(1676, 96, F16, 54) (dual of [96, 20, 55]-code) [i]
88Linear OA(1675, 96, F16, 53) (dual of [96, 21, 54]-code) [i]
89Linear OA(16130, 290, F16, 69) (dual of [290, 160, 70]-code) [i]Construction X with Cyclic Codes
90Linear OA(1690, 117, F16, 56) (dual of [117, 27, 57]-code) [i]
91Linear OA(1687, 118, F16, 52) (dual of [118, 31, 53]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
92Linear OA(1686, 119, F16, 51) (dual of [119, 33, 52]-code) [i]