Information on Result #1032942
Linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(4164, 55, F4, 3, 163) (dual of [(55, 3), 1, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(4164, 55, F4, 3, 162) (dual of [(55, 3), 1, 163]-NRT-code) | [i] | ||
3 | Linear OOA(4164, 55, F4, 3, 161) (dual of [(55, 3), 1, 162]-NRT-code) | [i] | ||
4 | Linear OOA(4164, 55, F4, 3, 160) (dual of [(55, 3), 1, 161]-NRT-code) | [i] | ||
5 | Linear OOA(4164, 55, F4, 3, 159) (dual of [(55, 3), 1, 160]-NRT-code) | [i] | ||
6 | Linear OOA(4164, 55, F4, 3, 158) (dual of [(55, 3), 1, 159]-NRT-code) | [i] | ||
7 | Linear OOA(4164, 55, F4, 3, 157) (dual of [(55, 3), 1, 158]-NRT-code) | [i] | ||
8 | Linear OOA(4164, 55, F4, 3, 156) (dual of [(55, 3), 1, 157]-NRT-code) | [i] | ||
9 | Linear OOA(4164, 55, F4, 3, 155) (dual of [(55, 3), 1, 156]-NRT-code) | [i] | ||
10 | Linear OOA(4164, 55, F4, 3, 154) (dual of [(55, 3), 1, 155]-NRT-code) | [i] | ||
11 | Linear OOA(4164, 55, F4, 3, 153) (dual of [(55, 3), 1, 154]-NRT-code) | [i] | ||
12 | Linear OOA(4164, 55, F4, 3, 152) (dual of [(55, 3), 1, 153]-NRT-code) | [i] | ||
13 | Linear OOA(4164, 55, F4, 3, 151) (dual of [(55, 3), 1, 152]-NRT-code) | [i] | ||
14 | Linear OOA(4164, 55, F4, 3, 150) (dual of [(55, 3), 1, 151]-NRT-code) | [i] | ||
15 | Linear OOA(4164, 55, F4, 3, 149) (dual of [(55, 3), 1, 150]-NRT-code) | [i] | ||
16 | Linear OOA(4164, 55, F4, 3, 148) (dual of [(55, 3), 1, 149]-NRT-code) | [i] | ||
17 | Linear OOA(4164, 55, F4, 3, 147) (dual of [(55, 3), 1, 148]-NRT-code) | [i] | ||
18 | Linear OOA(4164, 55, F4, 3, 146) (dual of [(55, 3), 1, 147]-NRT-code) | [i] | ||
19 | Linear OOA(4164, 55, F4, 3, 145) (dual of [(55, 3), 1, 146]-NRT-code) | [i] | ||
20 | Linear OOA(4164, 55, F4, 3, 144) (dual of [(55, 3), 1, 145]-NRT-code) | [i] | ||
21 | Linear OOA(4204, 72, F4, 3, 156) (dual of [(72, 3), 12, 157]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
22 | Linear OOA(4215, 76, F4, 3, 164) (dual of [(76, 3), 13, 165]-NRT-code) | [i] | ✔ | |
23 | Linear OOA(4203, 72, F4, 3, 154) (dual of [(72, 3), 13, 155]-NRT-code) | [i] | ✔ | |
24 | Linear OOA(4194, 69, F4, 3, 147) (dual of [(69, 3), 13, 148]-NRT-code) | [i] | ✔ | |
25 | Linear OOA(4214, 76, F4, 3, 162) (dual of [(76, 3), 14, 163]-NRT-code) | [i] | ✔ | |
26 | Linear OOA(4202, 72, F4, 3, 152) (dual of [(72, 3), 14, 153]-NRT-code) | [i] | ✔ | |
27 | Linear OOA(4193, 69, F4, 3, 145) (dual of [(69, 3), 14, 146]-NRT-code) | [i] | ✔ | |
28 | Linear OOA(4213, 76, F4, 3, 160) (dual of [(76, 3), 15, 161]-NRT-code) | [i] | ✔ | |
29 | Linear OOA(4201, 72, F4, 3, 150) (dual of [(72, 3), 15, 151]-NRT-code) | [i] | ✔ | |
30 | Linear OOA(4195, 70, F4, 3, 145) (dual of [(70, 3), 15, 146]-NRT-code) | [i] | ✔ | |
31 | Linear OOA(4192, 69, F4, 3, 143) (dual of [(69, 3), 15, 144]-NRT-code) | [i] | ✔ | |
32 | Linear OOA(4221, 79, F4, 3, 164) (dual of [(79, 3), 16, 165]-NRT-code) | [i] | ✔ | |
33 | Linear OOA(4212, 76, F4, 3, 158) (dual of [(76, 3), 16, 159]-NRT-code) | [i] | ✔ | |
34 | Linear OOA(4200, 72, F4, 3, 148) (dual of [(72, 3), 16, 149]-NRT-code) | [i] | ✔ | |
35 | Linear OOA(4194, 70, F4, 3, 143) (dual of [(70, 3), 16, 144]-NRT-code) | [i] | ✔ | |
36 | Linear OOA(4191, 69, F4, 3, 141) (dual of [(69, 3), 16, 142]-NRT-code) | [i] | ✔ | |
37 | Linear OOA(4220, 79, F4, 3, 162) (dual of [(79, 3), 17, 163]-NRT-code) | [i] | ✔ | |
38 | Linear OOA(4211, 76, F4, 3, 156) (dual of [(76, 3), 17, 157]-NRT-code) | [i] | ✔ | |
39 | Linear OOA(4199, 72, F4, 3, 146) (dual of [(72, 3), 17, 147]-NRT-code) | [i] | ✔ | |
40 | Linear OOA(4193, 70, F4, 3, 141) (dual of [(70, 3), 17, 142]-NRT-code) | [i] | ✔ | |
41 | Linear OOA(4190, 69, F4, 3, 139) (dual of [(69, 3), 17, 140]-NRT-code) | [i] | ✔ | |
42 | Linear OOA(4222, 80, F4, 3, 163) (dual of [(80, 3), 18, 164]-NRT-code) | [i] | ✔ | |
43 | Linear OOA(4210, 76, F4, 3, 154) (dual of [(76, 3), 18, 155]-NRT-code) | [i] | ✔ | |
44 | Linear OOA(4198, 72, F4, 3, 144) (dual of [(72, 3), 18, 145]-NRT-code) | [i] | ✔ | |
45 | Linear OOA(4192, 70, F4, 3, 139) (dual of [(70, 3), 18, 140]-NRT-code) | [i] | ✔ | |
46 | Linear OOA(4189, 69, F4, 3, 137) (dual of [(69, 3), 18, 138]-NRT-code) | [i] | ✔ | |
47 | Linear OOA(4224, 81, F4, 3, 164) (dual of [(81, 3), 19, 165]-NRT-code) | [i] | ✔ | |
48 | Linear OOA(4209, 76, F4, 3, 152) (dual of [(76, 3), 19, 153]-NRT-code) | [i] | ✔ | |
49 | Linear OOA(4197, 72, F4, 3, 142) (dual of [(72, 3), 19, 143]-NRT-code) | [i] | ✔ | |
50 | Linear OOA(4191, 70, F4, 3, 137) (dual of [(70, 3), 19, 138]-NRT-code) | [i] | ✔ | |
51 | Linear OOA(4188, 69, F4, 3, 135) (dual of [(69, 3), 19, 136]-NRT-code) | [i] | ✔ | |
52 | Linear OOA(4223, 81, F4, 3, 162) (dual of [(81, 3), 20, 163]-NRT-code) | [i] | ✔ | |
53 | Linear OOA(4208, 76, F4, 3, 150) (dual of [(76, 3), 20, 151]-NRT-code) | [i] | ✔ | |
54 | Linear OOA(4196, 72, F4, 3, 140) (dual of [(72, 3), 20, 141]-NRT-code) | [i] | ✔ | |
55 | Linear OOA(4190, 70, F4, 3, 135) (dual of [(70, 3), 20, 136]-NRT-code) | [i] | ✔ | |
56 | Linear OOA(4187, 69, F4, 3, 133) (dual of [(69, 3), 20, 134]-NRT-code) | [i] | ✔ | |
57 | Linear OOA(4225, 82, F4, 3, 163) (dual of [(82, 3), 21, 164]-NRT-code) | [i] | ✔ | |
58 | Linear OOA(4207, 76, F4, 3, 148) (dual of [(76, 3), 21, 149]-NRT-code) | [i] | ✔ | |
59 | Linear OOA(4195, 72, F4, 3, 138) (dual of [(72, 3), 21, 139]-NRT-code) | [i] | ✔ | |
60 | Linear OOA(4189, 70, F4, 3, 133) (dual of [(70, 3), 21, 134]-NRT-code) | [i] | ✔ | |
61 | Linear OOA(4186, 69, F4, 3, 131) (dual of [(69, 3), 21, 132]-NRT-code) | [i] | ✔ | |
62 | Linear OOA(4224, 82, F4, 3, 161) (dual of [(82, 3), 22, 162]-NRT-code) | [i] | ✔ | |
63 | Linear OOA(4209, 77, F4, 3, 147) (dual of [(77, 3), 22, 148]-NRT-code) | [i] | ✔ | |
64 | Linear OOA(4206, 76, F4, 3, 146) (dual of [(76, 3), 22, 147]-NRT-code) | [i] | ✔ | |
65 | Linear OOA(4194, 72, F4, 3, 136) (dual of [(72, 3), 22, 137]-NRT-code) | [i] | ✔ | |
66 | Linear OOA(4188, 70, F4, 3, 131) (dual of [(70, 3), 22, 132]-NRT-code) | [i] | ✔ | |
67 | Linear OOA(4223, 82, F4, 3, 159) (dual of [(82, 3), 23, 160]-NRT-code) | [i] | ✔ | |
68 | Linear OOA(4208, 77, F4, 3, 145) (dual of [(77, 3), 23, 146]-NRT-code) | [i] | ✔ | |
69 | Linear OOA(4205, 76, F4, 3, 144) (dual of [(76, 3), 23, 145]-NRT-code) | [i] | ✔ | |
70 | Linear OOA(4193, 72, F4, 3, 134) (dual of [(72, 3), 23, 135]-NRT-code) | [i] | ✔ | |
71 | Linear OOA(4231, 85, F4, 3, 163) (dual of [(85, 3), 24, 164]-NRT-code) | [i] | ✔ | |
72 | Linear OOA(4222, 82, F4, 3, 157) (dual of [(82, 3), 24, 158]-NRT-code) | [i] | ✔ | |
73 | Linear OOA(4207, 77, F4, 3, 143) (dual of [(77, 3), 24, 144]-NRT-code) | [i] | ✔ | |
74 | Linear OOA(4204, 76, F4, 3, 142) (dual of [(76, 3), 24, 143]-NRT-code) | [i] | ✔ | |
75 | Linear OOA(4192, 72, F4, 3, 132) (dual of [(72, 3), 24, 133]-NRT-code) | [i] | ✔ | |
76 | Linear OOA(4230, 85, F4, 3, 161) (dual of [(85, 3), 25, 162]-NRT-code) | [i] | ✔ | |
77 | Linear OOA(4221, 82, F4, 3, 155) (dual of [(82, 3), 25, 156]-NRT-code) | [i] | ✔ | |
78 | Linear OOA(4206, 77, F4, 3, 141) (dual of [(77, 3), 25, 142]-NRT-code) | [i] | ✔ | |
79 | Linear OOA(4203, 76, F4, 3, 140) (dual of [(76, 3), 25, 141]-NRT-code) | [i] | ✔ | |
80 | Linear OOA(4235, 87, F4, 3, 163) (dual of [(87, 3), 26, 164]-NRT-code) | [i] | ✔ | |
81 | Linear OOA(4229, 85, F4, 3, 159) (dual of [(85, 3), 26, 160]-NRT-code) | [i] | ✔ | |
82 | Linear OOA(4220, 82, F4, 3, 153) (dual of [(82, 3), 26, 154]-NRT-code) | [i] | ✔ | |
83 | Linear OOA(4205, 77, F4, 3, 139) (dual of [(77, 3), 26, 140]-NRT-code) | [i] | ✔ | |
84 | Linear OOA(4202, 76, F4, 3, 138) (dual of [(76, 3), 26, 139]-NRT-code) | [i] | ✔ | |
85 | Linear OOA(4228, 85, F4, 3, 157) (dual of [(85, 3), 27, 158]-NRT-code) | [i] | ✔ | |
86 | Linear OOA(4219, 82, F4, 3, 151) (dual of [(82, 3), 27, 152]-NRT-code) | [i] | ✔ | |
87 | Linear OOA(4204, 77, F4, 3, 137) (dual of [(77, 3), 27, 138]-NRT-code) | [i] | ✔ | |
88 | Linear OOA(4201, 76, F4, 3, 136) (dual of [(76, 3), 27, 137]-NRT-code) | [i] | ✔ | |
89 | Linear OOA(4227, 85, F4, 3, 155) (dual of [(85, 3), 28, 156]-NRT-code) | [i] | ✔ | |
90 | Linear OOA(4221, 83, F4, 3, 150) (dual of [(83, 3), 28, 151]-NRT-code) | [i] | ✔ | |
91 | Linear OOA(4218, 82, F4, 3, 149) (dual of [(82, 3), 28, 150]-NRT-code) | [i] | ✔ | |
92 | Linear OOA(4203, 77, F4, 3, 135) (dual of [(77, 3), 28, 136]-NRT-code) | [i] | ✔ | |
93 | Linear OOA(4200, 76, F4, 3, 134) (dual of [(76, 3), 28, 135]-NRT-code) | [i] | ✔ | |
94 | Linear OOA(4220, 83, F4, 3, 148) (dual of [(83, 3), 29, 149]-NRT-code) | [i] | ✔ | |
95 | Linear OOA(4217, 82, F4, 3, 147) (dual of [(82, 3), 29, 148]-NRT-code) | [i] | ✔ | |
96 | Linear OOA(4202, 77, F4, 3, 133) (dual of [(77, 3), 29, 134]-NRT-code) | [i] | ✔ | |
97 | Linear OOA(4199, 76, F4, 3, 132) (dual of [(76, 3), 29, 133]-NRT-code) | [i] | ✔ | |
98 | Linear OOA(4216, 82, F4, 3, 145) (dual of [(82, 3), 30, 146]-NRT-code) | [i] | ✔ | |
99 | Linear OOA(4201, 77, F4, 3, 131) (dual of [(77, 3), 30, 132]-NRT-code) | [i] | ✔ | |
100 | Linear OOA(4215, 82, F4, 3, 143) (dual of [(82, 3), 31, 144]-NRT-code) | [i] | ✔ |