Information on Result #600227

Function Field F/F27 with g(F) = 23 and N(F) ≥ 114, using an explicitly constructive algebraic function field

Mode: Constructive and linear.

Optimality

Compare with manYPoints (online database of function field parameters).

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Digital (23, 113)-sequence over F27 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(2754, 114, F27, 31) (dual of [114, 60, 32]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(2755, 114, F27, 32) (dual of [114, 59, 33]-code) [i]
4Linear OA(2756, 114, F27, 33) (dual of [114, 58, 34]-code) [i]
5Linear OA(2757, 114, F27, 34) (dual of [114, 57, 35]-code) [i]
6Linear OA(2758, 114, F27, 35) (dual of [114, 56, 36]-code) [i]
7Linear OA(2759, 114, F27, 36) (dual of [114, 55, 37]-code) [i]
8Linear OA(2760, 114, F27, 37) (dual of [114, 54, 38]-code) [i]
9Linear OA(2761, 114, F27, 38) (dual of [114, 53, 39]-code) [i]
10Linear OA(2762, 114, F27, 39) (dual of [114, 52, 40]-code) [i]
11Linear OA(2763, 114, F27, 40) (dual of [114, 51, 41]-code) [i]
12Linear OA(2764, 114, F27, 41) (dual of [114, 50, 42]-code) [i]
13Linear OA(2765, 114, F27, 42) (dual of [114, 49, 43]-code) [i]
14Linear OA(2766, 114, F27, 43) (dual of [114, 48, 44]-code) [i]
15Linear OA(2767, 114, F27, 44) (dual of [114, 47, 45]-code) [i]
16Linear OA(2768, 114, F27, 45) (dual of [114, 46, 46]-code) [i]
17Linear OA(2769, 114, F27, 46) (dual of [114, 45, 47]-code) [i]
18Linear OA(2770, 114, F27, 47) (dual of [114, 44, 48]-code) [i]
19Linear OA(2771, 114, F27, 48) (dual of [114, 43, 49]-code) [i]
20Linear OA(2772, 114, F27, 49) (dual of [114, 42, 50]-code) [i]
21Linear OA(2773, 114, F27, 50) (dual of [114, 41, 51]-code) [i]
22Linear OA(2774, 114, F27, 51) (dual of [114, 40, 52]-code) [i]
23Linear OA(2775, 114, F27, 52) (dual of [114, 39, 53]-code) [i]
24Linear OA(2776, 114, F27, 53) (dual of [114, 38, 54]-code) [i]
25Linear OA(2777, 114, F27, 54) (dual of [114, 37, 55]-code) [i]
26Linear OA(2778, 114, F27, 55) (dual of [114, 36, 56]-code) [i]
27Linear OA(2779, 114, F27, 56) (dual of [114, 35, 57]-code) [i]
28Linear OA(2780, 114, F27, 57) (dual of [114, 34, 58]-code) [i]
29Linear OA(2781, 114, F27, 58) (dual of [114, 33, 59]-code) [i]
30Linear OA(2782, 114, F27, 59) (dual of [114, 32, 60]-code) [i]
31Linear OA(2783, 114, F27, 60) (dual of [114, 31, 61]-code) [i]
32Linear OA(2784, 114, F27, 61) (dual of [114, 30, 62]-code) [i]
33Linear OA(2785, 114, F27, 62) (dual of [114, 29, 63]-code) [i]
34Linear OA(2786, 114, F27, 63) (dual of [114, 28, 64]-code) [i]
35Linear OA(2787, 114, F27, 64) (dual of [114, 27, 65]-code) [i]
36Linear OA(2788, 114, F27, 65) (dual of [114, 26, 66]-code) [i]
37Linear OA(2789, 114, F27, 66) (dual of [114, 25, 67]-code) [i]
38Linear OA(2790, 114, F27, 67) (dual of [114, 24, 68]-code) [i]
39Linear OA(2791, 114, F27, 68) (dual of [114, 23, 69]-code) [i]
40Linear OA(2792, 114, F27, 69) (dual of [114, 22, 70]-code) [i]
41Linear OA(2793, 114, F27, 70) (dual of [114, 21, 71]-code) [i]
42Linear OA(2794, 114, F27, 71) (dual of [114, 20, 72]-code) [i]
43Linear OA(2795, 114, F27, 72) (dual of [114, 19, 73]-code) [i]
44Linear OA(2796, 114, F27, 73) (dual of [114, 18, 74]-code) [i]
45Linear OA(2797, 114, F27, 74) (dual of [114, 17, 75]-code) [i]
46Linear OA(2798, 114, F27, 75) (dual of [114, 16, 76]-code) [i]
47Linear OA(2799, 114, F27, 76) (dual of [114, 15, 77]-code) [i]
48Linear OA(27100, 114, F27, 77) (dual of [114, 14, 78]-code) [i]
49Linear OA(27101, 114, F27, 78) (dual of [114, 13, 79]-code) [i]
50Linear OA(27102, 114, F27, 79) (dual of [114, 12, 80]-code) [i]
51Linear OA(27103, 114, F27, 80) (dual of [114, 11, 81]-code) [i]
52Linear OA(27104, 114, F27, 81) (dual of [114, 10, 82]-code) [i]
53Linear OA(27105, 114, F27, 82) (dual of [114, 9, 83]-code) [i]
54Linear OOA(2749, 114, F27, 2, 26) (dual of [(114, 2), 179, 27]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
55Linear OOA(2750, 114, F27, 2, 27) (dual of [(114, 2), 178, 28]-NRT-code) [i]
56Linear OOA(2751, 114, F27, 2, 28) (dual of [(114, 2), 177, 29]-NRT-code) [i]
57Linear OOA(2752, 114, F27, 2, 29) (dual of [(114, 2), 176, 30]-NRT-code) [i]
58Linear OOA(2753, 114, F27, 2, 30) (dual of [(114, 2), 175, 31]-NRT-code) [i]
59Linear OOA(2754, 114, F27, 2, 31) (dual of [(114, 2), 174, 32]-NRT-code) [i]
60Linear OOA(2755, 114, F27, 2, 32) (dual of [(114, 2), 173, 33]-NRT-code) [i]
61Linear OOA(2756, 114, F27, 2, 33) (dual of [(114, 2), 172, 34]-NRT-code) [i]
62Linear OOA(2757, 114, F27, 2, 34) (dual of [(114, 2), 171, 35]-NRT-code) [i]
63Linear OOA(2758, 114, F27, 2, 35) (dual of [(114, 2), 170, 36]-NRT-code) [i]
64Linear OOA(2759, 114, F27, 2, 36) (dual of [(114, 2), 169, 37]-NRT-code) [i]
65Linear OOA(2760, 114, F27, 2, 37) (dual of [(114, 2), 168, 38]-NRT-code) [i]
66Linear OOA(2761, 114, F27, 2, 38) (dual of [(114, 2), 167, 39]-NRT-code) [i]
67Linear OOA(2762, 114, F27, 2, 39) (dual of [(114, 2), 166, 40]-NRT-code) [i]
68Linear OOA(2763, 114, F27, 2, 40) (dual of [(114, 2), 165, 41]-NRT-code) [i]
69Linear OOA(2764, 114, F27, 2, 41) (dual of [(114, 2), 164, 42]-NRT-code) [i]
70Linear OOA(2765, 114, F27, 2, 42) (dual of [(114, 2), 163, 43]-NRT-code) [i]
71Linear OOA(2766, 114, F27, 2, 43) (dual of [(114, 2), 162, 44]-NRT-code) [i]
72Linear OOA(2767, 114, F27, 2, 44) (dual of [(114, 2), 161, 45]-NRT-code) [i]
73Linear OOA(2768, 114, F27, 2, 45) (dual of [(114, 2), 160, 46]-NRT-code) [i]
74Linear OOA(2769, 114, F27, 2, 46) (dual of [(114, 2), 159, 47]-NRT-code) [i]
75Linear OOA(2770, 114, F27, 2, 47) (dual of [(114, 2), 158, 48]-NRT-code) [i]
76Linear OOA(2771, 114, F27, 2, 48) (dual of [(114, 2), 157, 49]-NRT-code) [i]
77Linear OOA(2772, 114, F27, 2, 49) (dual of [(114, 2), 156, 50]-NRT-code) [i]
78Linear OOA(2773, 114, F27, 2, 50) (dual of [(114, 2), 155, 51]-NRT-code) [i]
79Linear OOA(2774, 114, F27, 2, 51) (dual of [(114, 2), 154, 52]-NRT-code) [i]
80Linear OOA(2775, 114, F27, 2, 52) (dual of [(114, 2), 153, 53]-NRT-code) [i]
81Linear OOA(2776, 114, F27, 2, 53) (dual of [(114, 2), 152, 54]-NRT-code) [i]
82Linear OOA(2777, 114, F27, 2, 54) (dual of [(114, 2), 151, 55]-NRT-code) [i]
83Linear OOA(2778, 114, F27, 2, 55) (dual of [(114, 2), 150, 56]-NRT-code) [i]
84Linear OOA(2779, 114, F27, 2, 56) (dual of [(114, 2), 149, 57]-NRT-code) [i]
85Linear OOA(2780, 114, F27, 2, 57) (dual of [(114, 2), 148, 58]-NRT-code) [i]
86Linear OOA(2781, 114, F27, 2, 58) (dual of [(114, 2), 147, 59]-NRT-code) [i]
87Linear OOA(2782, 114, F27, 2, 59) (dual of [(114, 2), 146, 60]-NRT-code) [i]
88Linear OOA(2783, 114, F27, 2, 60) (dual of [(114, 2), 145, 61]-NRT-code) [i]
89Linear OOA(2784, 114, F27, 2, 61) (dual of [(114, 2), 144, 62]-NRT-code) [i]
90Linear OOA(2785, 114, F27, 2, 62) (dual of [(114, 2), 143, 63]-NRT-code) [i]
91Linear OOA(2786, 114, F27, 2, 63) (dual of [(114, 2), 142, 64]-NRT-code) [i]
92Linear OOA(2787, 114, F27, 2, 64) (dual of [(114, 2), 141, 65]-NRT-code) [i]
93Linear OOA(2788, 114, F27, 2, 65) (dual of [(114, 2), 140, 66]-NRT-code) [i]
94Linear OOA(2789, 114, F27, 2, 66) (dual of [(114, 2), 139, 67]-NRT-code) [i]
95Linear OOA(2790, 114, F27, 2, 67) (dual of [(114, 2), 138, 68]-NRT-code) [i]
96Linear OOA(2791, 114, F27, 2, 68) (dual of [(114, 2), 137, 69]-NRT-code) [i]
97Linear OOA(2792, 114, F27, 2, 69) (dual of [(114, 2), 136, 70]-NRT-code) [i]
98Linear OOA(2793, 114, F27, 2, 70) (dual of [(114, 2), 135, 71]-NRT-code) [i]
99Linear OOA(2794, 114, F27, 2, 71) (dual of [(114, 2), 134, 72]-NRT-code) [i]
100Linear OOA(2795, 114, F27, 2, 72) (dual of [(114, 2), 133, 73]-NRT-code) [i]
101Linear OOA(2796, 114, F27, 2, 73) (dual of [(114, 2), 132, 74]-NRT-code) [i]
102Linear OOA(2797, 114, F27, 2, 74) (dual of [(114, 2), 131, 75]-NRT-code) [i]
103Linear OOA(2798, 114, F27, 2, 75) (dual of [(114, 2), 130, 76]-NRT-code) [i]
104Linear OOA(2799, 114, F27, 2, 76) (dual of [(114, 2), 129, 77]-NRT-code) [i]
105Linear OOA(27100, 114, F27, 2, 77) (dual of [(114, 2), 128, 78]-NRT-code) [i]
106Linear OOA(27101, 114, F27, 2, 78) (dual of [(114, 2), 127, 79]-NRT-code) [i]
107Linear OOA(27102, 114, F27, 2, 79) (dual of [(114, 2), 126, 80]-NRT-code) [i]
108Linear OOA(27103, 114, F27, 2, 80) (dual of [(114, 2), 125, 81]-NRT-code) [i]
109Linear OOA(27104, 114, F27, 2, 81) (dual of [(114, 2), 124, 82]-NRT-code) [i]
110Linear OOA(27105, 114, F27, 2, 82) (dual of [(114, 2), 123, 83]-NRT-code) [i]
111Linear OOA(27106, 114, F27, 2, 83) (dual of [(114, 2), 122, 84]-NRT-code) [i]
112Linear OOA(27107, 114, F27, 2, 84) (dual of [(114, 2), 121, 85]-NRT-code) [i]
113Linear OOA(27108, 114, F27, 2, 85) (dual of [(114, 2), 120, 86]-NRT-code) [i]
114Linear OOA(27109, 114, F27, 2, 86) (dual of [(114, 2), 119, 87]-NRT-code) [i]
115Linear OOA(27110, 114, F27, 2, 87) (dual of [(114, 2), 118, 88]-NRT-code) [i]
116Linear OOA(27107, 113, F27, 2, 84) (dual of [(113, 2), 119, 85]-NRT-code) [i]Algebraic-Geometric NRT-Codes
117Linear OOA(27103, 113, F27, 2, 80) (dual of [(113, 2), 123, 81]-NRT-code) [i]
118Linear OOA(27106, 113, F27, 2, 83) (dual of [(113, 2), 120, 84]-NRT-code) [i]
119Linear OOA(27102, 113, F27, 2, 79) (dual of [(113, 2), 124, 80]-NRT-code) [i]
120Linear OOA(27105, 113, F27, 2, 82) (dual of [(113, 2), 121, 83]-NRT-code) [i]
121Linear OOA(27101, 113, F27, 2, 78) (dual of [(113, 2), 125, 79]-NRT-code) [i]
122Linear OOA(27104, 113, F27, 2, 81) (dual of [(113, 2), 122, 82]-NRT-code) [i]
123Linear OOA(27100, 113, F27, 2, 77) (dual of [(113, 2), 126, 78]-NRT-code) [i]
124Linear OOA(2799, 113, F27, 2, 76) (dual of [(113, 2), 127, 77]-NRT-code) [i]
125Linear OOA(2798, 113, F27, 2, 75) (dual of [(113, 2), 128, 76]-NRT-code) [i]
126Linear OOA(2797, 113, F27, 2, 74) (dual of [(113, 2), 129, 75]-NRT-code) [i]
127Linear OOA(2796, 113, F27, 2, 73) (dual of [(113, 2), 130, 74]-NRT-code) [i]
128Linear OOA(2795, 113, F27, 2, 72) (dual of [(113, 2), 131, 73]-NRT-code) [i]
129Linear OOA(2794, 113, F27, 2, 71) (dual of [(113, 2), 132, 72]-NRT-code) [i]
130Linear OOA(2793, 113, F27, 2, 70) (dual of [(113, 2), 133, 71]-NRT-code) [i]
131Linear OOA(2792, 113, F27, 2, 69) (dual of [(113, 2), 134, 70]-NRT-code) [i]
132Linear OOA(2791, 113, F27, 2, 68) (dual of [(113, 2), 135, 69]-NRT-code) [i]
133Linear OOA(2790, 113, F27, 2, 67) (dual of [(113, 2), 136, 68]-NRT-code) [i]
134Linear OOA(2789, 113, F27, 2, 66) (dual of [(113, 2), 137, 67]-NRT-code) [i]
135Linear OOA(2788, 113, F27, 2, 65) (dual of [(113, 2), 138, 66]-NRT-code) [i]
136Linear OOA(2787, 113, F27, 2, 64) (dual of [(113, 2), 139, 65]-NRT-code) [i]
137Linear OOA(2786, 113, F27, 2, 63) (dual of [(113, 2), 140, 64]-NRT-code) [i]
138Linear OOA(2785, 113, F27, 2, 62) (dual of [(113, 2), 141, 63]-NRT-code) [i]
139Linear OOA(2784, 113, F27, 2, 61) (dual of [(113, 2), 142, 62]-NRT-code) [i]
140Linear OOA(2783, 113, F27, 2, 60) (dual of [(113, 2), 143, 61]-NRT-code) [i]
141Linear OOA(2782, 113, F27, 2, 59) (dual of [(113, 2), 144, 60]-NRT-code) [i]
142Linear OOA(2781, 113, F27, 2, 58) (dual of [(113, 2), 145, 59]-NRT-code) [i]
143Linear OOA(2780, 113, F27, 2, 57) (dual of [(113, 2), 146, 58]-NRT-code) [i]
144Linear OOA(2779, 113, F27, 2, 56) (dual of [(113, 2), 147, 57]-NRT-code) [i]
145Linear OOA(2778, 113, F27, 2, 55) (dual of [(113, 2), 148, 56]-NRT-code) [i]
146Linear OOA(2777, 113, F27, 2, 54) (dual of [(113, 2), 149, 55]-NRT-code) [i]
147Linear OOA(2776, 113, F27, 2, 53) (dual of [(113, 2), 150, 54]-NRT-code) [i]
148Linear OOA(2775, 113, F27, 2, 52) (dual of [(113, 2), 151, 53]-NRT-code) [i]
149Linear OOA(2774, 113, F27, 2, 51) (dual of [(113, 2), 152, 52]-NRT-code) [i]
150Linear OOA(2773, 113, F27, 2, 50) (dual of [(113, 2), 153, 51]-NRT-code) [i]
151Linear OOA(2772, 113, F27, 2, 49) (dual of [(113, 2), 154, 50]-NRT-code) [i]
152Linear OOA(2771, 113, F27, 2, 48) (dual of [(113, 2), 155, 49]-NRT-code) [i]
153Linear OOA(2770, 113, F27, 2, 47) (dual of [(113, 2), 156, 48]-NRT-code) [i]
154Linear OOA(2769, 113, F27, 2, 46) (dual of [(113, 2), 157, 47]-NRT-code) [i]
155Linear OOA(2768, 113, F27, 2, 45) (dual of [(113, 2), 158, 46]-NRT-code) [i]
156Linear OOA(2767, 113, F27, 2, 44) (dual of [(113, 2), 159, 45]-NRT-code) [i]
157Linear OOA(2766, 113, F27, 2, 43) (dual of [(113, 2), 160, 44]-NRT-code) [i]
158Linear OOA(2765, 113, F27, 2, 42) (dual of [(113, 2), 161, 43]-NRT-code) [i]
159Linear OOA(2764, 113, F27, 2, 41) (dual of [(113, 2), 162, 42]-NRT-code) [i]
160Linear OOA(2763, 113, F27, 2, 40) (dual of [(113, 2), 163, 41]-NRT-code) [i]
161Linear OOA(2762, 113, F27, 2, 39) (dual of [(113, 2), 164, 40]-NRT-code) [i]
162Linear OOA(2761, 113, F27, 2, 38) (dual of [(113, 2), 165, 39]-NRT-code) [i]
163Linear OOA(2760, 113, F27, 2, 37) (dual of [(113, 2), 166, 38]-NRT-code) [i]
164Linear OOA(2759, 113, F27, 2, 36) (dual of [(113, 2), 167, 37]-NRT-code) [i]
165Linear OOA(2758, 113, F27, 2, 35) (dual of [(113, 2), 168, 36]-NRT-code) [i]