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