Information on Result #600641

Function Field F/F5 with g(F) = 57 and N(F) ≥ 112, using algebraic function fields over ℤ5 by Niederreiter/Xing

Mode: Linear.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Digital (57, 111)-sequence over F5 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OOA(5107, 112, F5, 2, 50) (dual of [(112, 2), 117, 51]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
3Linear OOA(5108, 112, F5, 2, 51) (dual of [(112, 2), 116, 52]-NRT-code) [i]
4Linear OOA(5109, 112, F5, 2, 52) (dual of [(112, 2), 115, 53]-NRT-code) [i]
5Linear OOA(5110, 112, F5, 2, 53) (dual of [(112, 2), 114, 54]-NRT-code) [i]
6Linear OOA(5111, 112, F5, 2, 54) (dual of [(112, 2), 113, 55]-NRT-code) [i]
7Linear OOA(5112, 112, F5, 2, 55) (dual of [(112, 2), 112, 56]-NRT-code) [i]
8Linear OOA(5113, 112, F5, 2, 56) (dual of [(112, 2), 111, 57]-NRT-code) [i]
9Linear OOA(5114, 112, F5, 2, 57) (dual of [(112, 2), 110, 58]-NRT-code) [i]
10Linear OOA(5115, 112, F5, 2, 58) (dual of [(112, 2), 109, 59]-NRT-code) [i]
11Linear OOA(5116, 112, F5, 2, 59) (dual of [(112, 2), 108, 60]-NRT-code) [i]
12Linear OOA(5117, 112, F5, 2, 60) (dual of [(112, 2), 107, 61]-NRT-code) [i]
13Linear OOA(5118, 112, F5, 2, 61) (dual of [(112, 2), 106, 62]-NRT-code) [i]
14Linear OOA(5119, 112, F5, 2, 62) (dual of [(112, 2), 105, 63]-NRT-code) [i]
15Linear OOA(5120, 112, F5, 2, 63) (dual of [(112, 2), 104, 64]-NRT-code) [i]
16Linear OOA(5121, 112, F5, 2, 64) (dual of [(112, 2), 103, 65]-NRT-code) [i]
17Linear OOA(5122, 112, F5, 2, 65) (dual of [(112, 2), 102, 66]-NRT-code) [i]
18Linear OOA(5123, 112, F5, 2, 66) (dual of [(112, 2), 101, 67]-NRT-code) [i]
19Linear OOA(5124, 112, F5, 2, 67) (dual of [(112, 2), 100, 68]-NRT-code) [i]
20Linear OOA(5125, 112, F5, 2, 68) (dual of [(112, 2), 99, 69]-NRT-code) [i]
21Linear OOA(5126, 112, F5, 2, 69) (dual of [(112, 2), 98, 70]-NRT-code) [i]
22Linear OOA(5127, 112, F5, 2, 70) (dual of [(112, 2), 97, 71]-NRT-code) [i]
23Linear OOA(5128, 112, F5, 2, 71) (dual of [(112, 2), 96, 72]-NRT-code) [i]
24Linear OOA(5129, 112, F5, 2, 72) (dual of [(112, 2), 95, 73]-NRT-code) [i]
25Linear OOA(5130, 112, F5, 2, 73) (dual of [(112, 2), 94, 74]-NRT-code) [i]
26Linear OOA(5131, 112, F5, 2, 74) (dual of [(112, 2), 93, 75]-NRT-code) [i]
27Linear OOA(5132, 112, F5, 2, 75) (dual of [(112, 2), 92, 76]-NRT-code) [i]
28Linear OOA(5133, 112, F5, 2, 76) (dual of [(112, 2), 91, 77]-NRT-code) [i]
29Linear OOA(5134, 112, F5, 2, 77) (dual of [(112, 2), 90, 78]-NRT-code) [i]
30Linear OOA(5135, 112, F5, 2, 78) (dual of [(112, 2), 89, 79]-NRT-code) [i]
31Linear OOA(5136, 112, F5, 2, 79) (dual of [(112, 2), 88, 80]-NRT-code) [i]
32Linear OOA(5137, 112, F5, 2, 80) (dual of [(112, 2), 87, 81]-NRT-code) [i]
33Linear OOA(5138, 112, F5, 2, 81) (dual of [(112, 2), 86, 82]-NRT-code) [i]
34Linear OOA(5139, 112, F5, 2, 82) (dual of [(112, 2), 85, 83]-NRT-code) [i]
35Linear OOA(5140, 112, F5, 2, 83) (dual of [(112, 2), 84, 84]-NRT-code) [i]
36Linear OOA(5141, 112, F5, 2, 84) (dual of [(112, 2), 83, 85]-NRT-code) [i]
37Linear OOA(5142, 112, F5, 2, 85) (dual of [(112, 2), 82, 86]-NRT-code) [i]
38Linear OOA(5143, 112, F5, 2, 86) (dual of [(112, 2), 81, 87]-NRT-code) [i]
39Linear OOA(5144, 112, F5, 2, 87) (dual of [(112, 2), 80, 88]-NRT-code) [i]
40Linear OOA(5145, 112, F5, 2, 88) (dual of [(112, 2), 79, 89]-NRT-code) [i]
41Linear OOA(5146, 112, F5, 2, 89) (dual of [(112, 2), 78, 90]-NRT-code) [i]
42Linear OOA(5147, 112, F5, 2, 90) (dual of [(112, 2), 77, 91]-NRT-code) [i]
43Linear OOA(5148, 112, F5, 2, 91) (dual of [(112, 2), 76, 92]-NRT-code) [i]
44Linear OOA(5149, 112, F5, 2, 92) (dual of [(112, 2), 75, 93]-NRT-code) [i]
45Linear OOA(5150, 112, F5, 2, 93) (dual of [(112, 2), 74, 94]-NRT-code) [i]
46Linear OOA(5107, 112, F5, 3, 50) (dual of [(112, 3), 229, 51]-NRT-code) [i]
47Linear OOA(5108, 112, F5, 3, 51) (dual of [(112, 3), 228, 52]-NRT-code) [i]
48Linear OOA(5109, 112, F5, 3, 52) (dual of [(112, 3), 227, 53]-NRT-code) [i]
49Linear OOA(5110, 112, F5, 3, 53) (dual of [(112, 3), 226, 54]-NRT-code) [i]
50Linear OOA(5111, 112, F5, 3, 54) (dual of [(112, 3), 225, 55]-NRT-code) [i]
51Linear OOA(5112, 112, F5, 3, 55) (dual of [(112, 3), 224, 56]-NRT-code) [i]
52Linear OOA(5113, 112, F5, 3, 56) (dual of [(112, 3), 223, 57]-NRT-code) [i]
53Linear OOA(5114, 112, F5, 3, 57) (dual of [(112, 3), 222, 58]-NRT-code) [i]
54Linear OOA(5115, 112, F5, 3, 58) (dual of [(112, 3), 221, 59]-NRT-code) [i]
55Linear OOA(5116, 112, F5, 3, 59) (dual of [(112, 3), 220, 60]-NRT-code) [i]
56Linear OOA(5117, 112, F5, 3, 60) (dual of [(112, 3), 219, 61]-NRT-code) [i]
57Linear OOA(5118, 112, F5, 3, 61) (dual of [(112, 3), 218, 62]-NRT-code) [i]
58Linear OOA(5119, 112, F5, 3, 62) (dual of [(112, 3), 217, 63]-NRT-code) [i]
59Linear OOA(5120, 112, F5, 3, 63) (dual of [(112, 3), 216, 64]-NRT-code) [i]
60Linear OOA(5121, 112, F5, 3, 64) (dual of [(112, 3), 215, 65]-NRT-code) [i]
61Linear OOA(5122, 112, F5, 3, 65) (dual of [(112, 3), 214, 66]-NRT-code) [i]
62Linear OOA(5123, 112, F5, 3, 66) (dual of [(112, 3), 213, 67]-NRT-code) [i]
63Linear OOA(5124, 112, F5, 3, 67) (dual of [(112, 3), 212, 68]-NRT-code) [i]
64Linear OOA(5125, 112, F5, 3, 68) (dual of [(112, 3), 211, 69]-NRT-code) [i]
65Linear OOA(5126, 112, F5, 3, 69) (dual of [(112, 3), 210, 70]-NRT-code) [i]
66Linear OOA(5127, 112, F5, 3, 70) (dual of [(112, 3), 209, 71]-NRT-code) [i]
67Linear OOA(5128, 112, F5, 3, 71) (dual of [(112, 3), 208, 72]-NRT-code) [i]
68Linear OOA(5129, 112, F5, 3, 72) (dual of [(112, 3), 207, 73]-NRT-code) [i]
69Linear OOA(5130, 112, F5, 3, 73) (dual of [(112, 3), 206, 74]-NRT-code) [i]
70Linear OOA(5131, 112, F5, 3, 74) (dual of [(112, 3), 205, 75]-NRT-code) [i]
71Linear OOA(5132, 112, F5, 3, 75) (dual of [(112, 3), 204, 76]-NRT-code) [i]
72Linear OOA(5133, 112, F5, 3, 76) (dual of [(112, 3), 203, 77]-NRT-code) [i]
73Linear OOA(5134, 112, F5, 3, 77) (dual of [(112, 3), 202, 78]-NRT-code) [i]
74Linear OOA(5135, 112, F5, 3, 78) (dual of [(112, 3), 201, 79]-NRT-code) [i]
75Linear OOA(5136, 112, F5, 3, 79) (dual of [(112, 3), 200, 80]-NRT-code) [i]
76Linear OOA(5137, 112, F5, 3, 80) (dual of [(112, 3), 199, 81]-NRT-code) [i]
77Linear OOA(5138, 112, F5, 3, 81) (dual of [(112, 3), 198, 82]-NRT-code) [i]
78Linear OOA(5139, 112, F5, 3, 82) (dual of [(112, 3), 197, 83]-NRT-code) [i]
79Linear OOA(5140, 112, F5, 3, 83) (dual of [(112, 3), 196, 84]-NRT-code) [i]
80Linear OOA(5141, 112, F5, 3, 84) (dual of [(112, 3), 195, 85]-NRT-code) [i]
81Linear OOA(5142, 112, F5, 3, 85) (dual of [(112, 3), 194, 86]-NRT-code) [i]
82Linear OOA(5143, 112, F5, 3, 86) (dual of [(112, 3), 193, 87]-NRT-code) [i]
83Linear OOA(5144, 112, F5, 3, 87) (dual of [(112, 3), 192, 88]-NRT-code) [i]
84Linear OOA(5145, 112, F5, 3, 88) (dual of [(112, 3), 191, 89]-NRT-code) [i]
85Linear OOA(5146, 112, F5, 3, 89) (dual of [(112, 3), 190, 90]-NRT-code) [i]
86Linear OOA(5147, 112, F5, 3, 90) (dual of [(112, 3), 189, 91]-NRT-code) [i]
87Linear OOA(5148, 112, F5, 3, 91) (dual of [(112, 3), 188, 92]-NRT-code) [i]
88Linear OOA(5149, 112, F5, 3, 92) (dual of [(112, 3), 187, 93]-NRT-code) [i]
89Linear OOA(5150, 112, F5, 3, 93) (dual of [(112, 3), 186, 94]-NRT-code) [i]
90Linear OOA(5147, 111, F5, 2, 90) (dual of [(111, 2), 75, 91]-NRT-code) [i]Algebraic-Geometric NRT-Codes
91Linear OOA(5143, 111, F5, 2, 86) (dual of [(111, 2), 79, 87]-NRT-code) [i]
92Linear OOA(5146, 111, F5, 2, 89) (dual of [(111, 2), 76, 90]-NRT-code) [i]
93Linear OOA(5142, 111, F5, 2, 85) (dual of [(111, 2), 80, 86]-NRT-code) [i]
94Linear OOA(5145, 111, F5, 2, 88) (dual of [(111, 2), 77, 89]-NRT-code) [i]
95Linear OOA(5141, 111, F5, 2, 84) (dual of [(111, 2), 81, 85]-NRT-code) [i]
96Linear OOA(5144, 111, F5, 2, 87) (dual of [(111, 2), 78, 88]-NRT-code) [i]
97Linear OOA(5140, 111, F5, 2, 83) (dual of [(111, 2), 82, 84]-NRT-code) [i]
98Linear OOA(5139, 111, F5, 2, 82) (dual of [(111, 2), 83, 83]-NRT-code) [i]
99Linear OOA(5138, 111, F5, 2, 81) (dual of [(111, 2), 84, 82]-NRT-code) [i]
100Linear OOA(5137, 111, F5, 2, 80) (dual of [(111, 2), 85, 81]-NRT-code) [i]
101Linear OOA(5136, 111, F5, 2, 79) (dual of [(111, 2), 86, 80]-NRT-code) [i]
102Linear OOA(5135, 111, F5, 2, 78) (dual of [(111, 2), 87, 79]-NRT-code) [i]
103Linear OOA(5134, 111, F5, 2, 77) (dual of [(111, 2), 88, 78]-NRT-code) [i]
104Linear OOA(5133, 111, F5, 2, 76) (dual of [(111, 2), 89, 77]-NRT-code) [i]
105Linear OOA(5132, 111, F5, 2, 75) (dual of [(111, 2), 90, 76]-NRT-code) [i]
106Linear OOA(5131, 111, F5, 2, 74) (dual of [(111, 2), 91, 75]-NRT-code) [i]
107Linear OOA(5130, 111, F5, 2, 73) (dual of [(111, 2), 92, 74]-NRT-code) [i]
108Linear OOA(5129, 111, F5, 2, 72) (dual of [(111, 2), 93, 73]-NRT-code) [i]
109Linear OOA(5128, 111, F5, 2, 71) (dual of [(111, 2), 94, 72]-NRT-code) [i]