Information on Result #600682

Function Field F/F7 with g(F) = 27 and N(F) ≥ 78, using an algebraic function field by Teo

Mode: 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 (27, 77)-sequence over F7 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OOA(755, 78, F7, 2, 28) (dual of [(78, 2), 101, 29]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
3Linear OOA(756, 78, F7, 2, 29) (dual of [(78, 2), 100, 30]-NRT-code) [i]
4Linear OOA(757, 78, F7, 2, 30) (dual of [(78, 2), 99, 31]-NRT-code) [i]
5Linear OOA(758, 78, F7, 2, 31) (dual of [(78, 2), 98, 32]-NRT-code) [i]
6Linear OOA(759, 78, F7, 2, 32) (dual of [(78, 2), 97, 33]-NRT-code) [i]
7Linear OOA(760, 78, F7, 2, 33) (dual of [(78, 2), 96, 34]-NRT-code) [i]
8Linear OOA(761, 78, F7, 2, 34) (dual of [(78, 2), 95, 35]-NRT-code) [i]
9Linear OOA(762, 78, F7, 2, 35) (dual of [(78, 2), 94, 36]-NRT-code) [i]
10Linear OOA(763, 78, F7, 2, 36) (dual of [(78, 2), 93, 37]-NRT-code) [i]
11Linear OOA(764, 78, F7, 2, 37) (dual of [(78, 2), 92, 38]-NRT-code) [i]
12Linear OOA(765, 78, F7, 2, 38) (dual of [(78, 2), 91, 39]-NRT-code) [i]
13Linear OOA(766, 78, F7, 2, 39) (dual of [(78, 2), 90, 40]-NRT-code) [i]
14Linear OOA(767, 78, F7, 2, 40) (dual of [(78, 2), 89, 41]-NRT-code) [i]
15Linear OOA(768, 78, F7, 2, 41) (dual of [(78, 2), 88, 42]-NRT-code) [i]
16Linear OOA(769, 78, F7, 2, 42) (dual of [(78, 2), 87, 43]-NRT-code) [i]
17Linear OOA(770, 78, F7, 2, 43) (dual of [(78, 2), 86, 44]-NRT-code) [i]
18Linear OOA(771, 78, F7, 2, 44) (dual of [(78, 2), 85, 45]-NRT-code) [i]
19Linear OOA(772, 78, F7, 2, 45) (dual of [(78, 2), 84, 46]-NRT-code) [i]
20Linear OOA(773, 78, F7, 2, 46) (dual of [(78, 2), 83, 47]-NRT-code) [i]
21Linear OOA(774, 78, F7, 2, 47) (dual of [(78, 2), 82, 48]-NRT-code) [i]
22Linear OOA(775, 78, F7, 2, 48) (dual of [(78, 2), 81, 49]-NRT-code) [i]
23Linear OOA(776, 78, F7, 2, 49) (dual of [(78, 2), 80, 50]-NRT-code) [i]
24Linear OOA(777, 78, F7, 2, 50) (dual of [(78, 2), 79, 51]-NRT-code) [i]
25Linear OOA(778, 78, F7, 2, 51) (dual of [(78, 2), 78, 52]-NRT-code) [i]
26Linear OOA(779, 78, F7, 2, 52) (dual of [(78, 2), 77, 53]-NRT-code) [i]
27Linear OOA(780, 78, F7, 2, 53) (dual of [(78, 2), 76, 54]-NRT-code) [i]
28Linear OOA(781, 78, F7, 2, 54) (dual of [(78, 2), 75, 55]-NRT-code) [i]
29Linear OOA(782, 78, F7, 2, 55) (dual of [(78, 2), 74, 56]-NRT-code) [i]
30Linear OOA(783, 78, F7, 2, 56) (dual of [(78, 2), 73, 57]-NRT-code) [i]
31Linear OOA(784, 78, F7, 2, 57) (dual of [(78, 2), 72, 58]-NRT-code) [i]
32Linear OOA(785, 78, F7, 2, 58) (dual of [(78, 2), 71, 59]-NRT-code) [i]
33Linear OOA(786, 78, F7, 2, 59) (dual of [(78, 2), 70, 60]-NRT-code) [i]
34Linear OOA(787, 78, F7, 2, 60) (dual of [(78, 2), 69, 61]-NRT-code) [i]
35Linear OOA(788, 78, F7, 2, 61) (dual of [(78, 2), 68, 62]-NRT-code) [i]
36Linear OOA(789, 78, F7, 2, 62) (dual of [(78, 2), 67, 63]-NRT-code) [i]
37Linear OOA(790, 78, F7, 2, 63) (dual of [(78, 2), 66, 64]-NRT-code) [i]
38Linear OOA(791, 78, F7, 2, 64) (dual of [(78, 2), 65, 65]-NRT-code) [i]
39Linear OOA(792, 78, F7, 2, 65) (dual of [(78, 2), 64, 66]-NRT-code) [i]
40Linear OOA(793, 78, F7, 2, 66) (dual of [(78, 2), 63, 67]-NRT-code) [i]
41Linear OOA(794, 78, F7, 2, 67) (dual of [(78, 2), 62, 68]-NRT-code) [i]
42Linear OOA(795, 78, F7, 2, 68) (dual of [(78, 2), 61, 69]-NRT-code) [i]
43Linear OOA(796, 78, F7, 2, 69) (dual of [(78, 2), 60, 70]-NRT-code) [i]
44Linear OOA(797, 78, F7, 2, 70) (dual of [(78, 2), 59, 71]-NRT-code) [i]
45Linear OOA(798, 78, F7, 2, 71) (dual of [(78, 2), 58, 72]-NRT-code) [i]
46Linear OOA(799, 78, F7, 2, 72) (dual of [(78, 2), 57, 73]-NRT-code) [i]
47Linear OOA(7100, 78, F7, 2, 73) (dual of [(78, 2), 56, 74]-NRT-code) [i]
48Linear OOA(7101, 78, F7, 2, 74) (dual of [(78, 2), 55, 75]-NRT-code) [i]
49Linear OOA(7102, 78, F7, 2, 75) (dual of [(78, 2), 54, 76]-NRT-code) [i]
50Linear OOA(7103, 78, F7, 2, 76) (dual of [(78, 2), 53, 77]-NRT-code) [i]
51Linear OOA(7104, 78, F7, 2, 77) (dual of [(78, 2), 52, 78]-NRT-code) [i]
52Linear OOA(7105, 78, F7, 2, 78) (dual of [(78, 2), 51, 79]-NRT-code) [i]
53Linear OOA(7106, 78, F7, 2, 79) (dual of [(78, 2), 50, 80]-NRT-code) [i]
54Linear OOA(7107, 78, F7, 2, 80) (dual of [(78, 2), 49, 81]-NRT-code) [i]
55Linear OOA(7108, 78, F7, 2, 81) (dual of [(78, 2), 48, 82]-NRT-code) [i]
56Linear OOA(7109, 78, F7, 2, 82) (dual of [(78, 2), 47, 83]-NRT-code) [i]
57Linear OOA(7110, 78, F7, 2, 83) (dual of [(78, 2), 46, 84]-NRT-code) [i]
58Linear OOA(755, 78, F7, 3, 28) (dual of [(78, 3), 179, 29]-NRT-code) [i]
59Linear OOA(756, 78, F7, 3, 29) (dual of [(78, 3), 178, 30]-NRT-code) [i]
60Linear OOA(757, 78, F7, 3, 30) (dual of [(78, 3), 177, 31]-NRT-code) [i]
61Linear OOA(758, 78, F7, 3, 31) (dual of [(78, 3), 176, 32]-NRT-code) [i]
62Linear OOA(759, 78, F7, 3, 32) (dual of [(78, 3), 175, 33]-NRT-code) [i]
63Linear OOA(760, 78, F7, 3, 33) (dual of [(78, 3), 174, 34]-NRT-code) [i]
64Linear OOA(761, 78, F7, 3, 34) (dual of [(78, 3), 173, 35]-NRT-code) [i]
65Linear OOA(762, 78, F7, 3, 35) (dual of [(78, 3), 172, 36]-NRT-code) [i]
66Linear OOA(763, 78, F7, 3, 36) (dual of [(78, 3), 171, 37]-NRT-code) [i]
67Linear OOA(764, 78, F7, 3, 37) (dual of [(78, 3), 170, 38]-NRT-code) [i]
68Linear OOA(765, 78, F7, 3, 38) (dual of [(78, 3), 169, 39]-NRT-code) [i]
69Linear OOA(766, 78, F7, 3, 39) (dual of [(78, 3), 168, 40]-NRT-code) [i]
70Linear OOA(767, 78, F7, 3, 40) (dual of [(78, 3), 167, 41]-NRT-code) [i]
71Linear OOA(768, 78, F7, 3, 41) (dual of [(78, 3), 166, 42]-NRT-code) [i]
72Linear OOA(769, 78, F7, 3, 42) (dual of [(78, 3), 165, 43]-NRT-code) [i]
73Linear OOA(770, 78, F7, 3, 43) (dual of [(78, 3), 164, 44]-NRT-code) [i]
74Linear OOA(771, 78, F7, 3, 44) (dual of [(78, 3), 163, 45]-NRT-code) [i]
75Linear OOA(772, 78, F7, 3, 45) (dual of [(78, 3), 162, 46]-NRT-code) [i]
76Linear OOA(773, 78, F7, 3, 46) (dual of [(78, 3), 161, 47]-NRT-code) [i]
77Linear OOA(774, 78, F7, 3, 47) (dual of [(78, 3), 160, 48]-NRT-code) [i]
78Linear OOA(775, 78, F7, 3, 48) (dual of [(78, 3), 159, 49]-NRT-code) [i]
79Linear OOA(776, 78, F7, 3, 49) (dual of [(78, 3), 158, 50]-NRT-code) [i]
80Linear OOA(777, 78, F7, 3, 50) (dual of [(78, 3), 157, 51]-NRT-code) [i]
81Linear OOA(778, 78, F7, 3, 51) (dual of [(78, 3), 156, 52]-NRT-code) [i]
82Linear OOA(779, 78, F7, 3, 52) (dual of [(78, 3), 155, 53]-NRT-code) [i]
83Linear OOA(780, 78, F7, 3, 53) (dual of [(78, 3), 154, 54]-NRT-code) [i]
84Linear OOA(781, 78, F7, 3, 54) (dual of [(78, 3), 153, 55]-NRT-code) [i]
85Linear OOA(782, 78, F7, 3, 55) (dual of [(78, 3), 152, 56]-NRT-code) [i]
86Linear OOA(783, 78, F7, 3, 56) (dual of [(78, 3), 151, 57]-NRT-code) [i]
87Linear OOA(784, 78, F7, 3, 57) (dual of [(78, 3), 150, 58]-NRT-code) [i]
88Linear OOA(785, 78, F7, 3, 58) (dual of [(78, 3), 149, 59]-NRT-code) [i]
89Linear OOA(786, 78, F7, 3, 59) (dual of [(78, 3), 148, 60]-NRT-code) [i]
90Linear OOA(787, 78, F7, 3, 60) (dual of [(78, 3), 147, 61]-NRT-code) [i]
91Linear OOA(788, 78, F7, 3, 61) (dual of [(78, 3), 146, 62]-NRT-code) [i]
92Linear OOA(789, 78, F7, 3, 62) (dual of [(78, 3), 145, 63]-NRT-code) [i]
93Linear OOA(790, 78, F7, 3, 63) (dual of [(78, 3), 144, 64]-NRT-code) [i]
94Linear OOA(791, 78, F7, 3, 64) (dual of [(78, 3), 143, 65]-NRT-code) [i]
95Linear OOA(792, 78, F7, 3, 65) (dual of [(78, 3), 142, 66]-NRT-code) [i]
96Linear OOA(793, 78, F7, 3, 66) (dual of [(78, 3), 141, 67]-NRT-code) [i]
97Linear OOA(794, 78, F7, 3, 67) (dual of [(78, 3), 140, 68]-NRT-code) [i]
98Linear OOA(795, 78, F7, 3, 68) (dual of [(78, 3), 139, 69]-NRT-code) [i]
99Linear OOA(796, 78, F7, 3, 69) (dual of [(78, 3), 138, 70]-NRT-code) [i]
100Linear OOA(797, 78, F7, 3, 70) (dual of [(78, 3), 137, 71]-NRT-code) [i]
101Linear OOA(798, 78, F7, 3, 71) (dual of [(78, 3), 136, 72]-NRT-code) [i]
102Linear OOA(799, 78, F7, 3, 72) (dual of [(78, 3), 135, 73]-NRT-code) [i]
103Linear OOA(7100, 78, F7, 3, 73) (dual of [(78, 3), 134, 74]-NRT-code) [i]
104Linear OOA(7101, 78, F7, 3, 74) (dual of [(78, 3), 133, 75]-NRT-code) [i]
105Linear OOA(7102, 78, F7, 3, 75) (dual of [(78, 3), 132, 76]-NRT-code) [i]
106Linear OOA(7103, 78, F7, 3, 76) (dual of [(78, 3), 131, 77]-NRT-code) [i]
107Linear OOA(7104, 78, F7, 3, 77) (dual of [(78, 3), 130, 78]-NRT-code) [i]
108Linear OOA(7105, 78, F7, 3, 78) (dual of [(78, 3), 129, 79]-NRT-code) [i]
109Linear OOA(7106, 78, F7, 3, 79) (dual of [(78, 3), 128, 80]-NRT-code) [i]
110Linear OOA(7107, 78, F7, 3, 80) (dual of [(78, 3), 127, 81]-NRT-code) [i]
111Linear OOA(7108, 78, F7, 3, 81) (dual of [(78, 3), 126, 82]-NRT-code) [i]
112Linear OOA(7109, 78, F7, 3, 82) (dual of [(78, 3), 125, 83]-NRT-code) [i]
113Linear OOA(7110, 78, F7, 3, 83) (dual of [(78, 3), 124, 84]-NRT-code) [i]
114Linear OOA(7107, 77, F7, 2, 80) (dual of [(77, 2), 47, 81]-NRT-code) [i]Algebraic-Geometric NRT-Codes
115Linear OOA(7103, 77, F7, 2, 76) (dual of [(77, 2), 51, 77]-NRT-code) [i]
116Linear OOA(7106, 77, F7, 2, 79) (dual of [(77, 2), 48, 80]-NRT-code) [i]
117Linear OOA(7102, 77, F7, 2, 75) (dual of [(77, 2), 52, 76]-NRT-code) [i]
118Linear OOA(7105, 77, F7, 2, 78) (dual of [(77, 2), 49, 79]-NRT-code) [i]
119Linear OOA(7101, 77, F7, 2, 74) (dual of [(77, 2), 53, 75]-NRT-code) [i]
120Linear OOA(7104, 77, F7, 2, 77) (dual of [(77, 2), 50, 78]-NRT-code) [i]
121Linear OOA(7100, 77, F7, 2, 73) (dual of [(77, 2), 54, 74]-NRT-code) [i]
122Linear OOA(799, 77, F7, 2, 72) (dual of [(77, 2), 55, 73]-NRT-code) [i]
123Linear OOA(798, 77, F7, 2, 71) (dual of [(77, 2), 56, 72]-NRT-code) [i]
124Linear OOA(797, 77, F7, 2, 70) (dual of [(77, 2), 57, 71]-NRT-code) [i]
125Linear OOA(796, 77, F7, 2, 69) (dual of [(77, 2), 58, 70]-NRT-code) [i]
126Linear OOA(795, 77, F7, 2, 68) (dual of [(77, 2), 59, 69]-NRT-code) [i]
127Linear OOA(794, 77, F7, 2, 67) (dual of [(77, 2), 60, 68]-NRT-code) [i]
128Linear OOA(793, 77, F7, 2, 66) (dual of [(77, 2), 61, 67]-NRT-code) [i]
129Linear OOA(792, 77, F7, 2, 65) (dual of [(77, 2), 62, 66]-NRT-code) [i]
130Linear OOA(791, 77, F7, 2, 64) (dual of [(77, 2), 63, 65]-NRT-code) [i]
131Linear OOA(790, 77, F7, 2, 63) (dual of [(77, 2), 64, 64]-NRT-code) [i]
132Linear OOA(789, 77, F7, 2, 62) (dual of [(77, 2), 65, 63]-NRT-code) [i]
133Linear OOA(788, 77, F7, 2, 61) (dual of [(77, 2), 66, 62]-NRT-code) [i]
134Linear OOA(787, 77, F7, 2, 60) (dual of [(77, 2), 67, 61]-NRT-code) [i]
135Linear OOA(786, 77, F7, 2, 59) (dual of [(77, 2), 68, 60]-NRT-code) [i]
136Linear OOA(785, 77, F7, 2, 58) (dual of [(77, 2), 69, 59]-NRT-code) [i]
137Linear OOA(784, 77, F7, 2, 57) (dual of [(77, 2), 70, 58]-NRT-code) [i]
138Linear OOA(783, 77, F7, 2, 56) (dual of [(77, 2), 71, 57]-NRT-code) [i]
139Linear OOA(782, 77, F7, 2, 55) (dual of [(77, 2), 72, 56]-NRT-code) [i]
140Linear OOA(781, 77, F7, 2, 54) (dual of [(77, 2), 73, 55]-NRT-code) [i]
141Linear OOA(780, 77, F7, 2, 53) (dual of [(77, 2), 74, 54]-NRT-code) [i]
142Linear OOA(779, 77, F7, 2, 52) (dual of [(77, 2), 75, 53]-NRT-code) [i]
143Linear OOA(778, 77, F7, 2, 51) (dual of [(77, 2), 76, 52]-NRT-code) [i]
144Linear OOA(777, 77, F7, 2, 50) (dual of [(77, 2), 77, 51]-NRT-code) [i]
145Linear OOA(776, 77, F7, 2, 49) (dual of [(77, 2), 78, 50]-NRT-code) [i]
146Linear OOA(775, 77, F7, 2, 48) (dual of [(77, 2), 79, 49]-NRT-code) [i]
147Linear OOA(774, 77, F7, 2, 47) (dual of [(77, 2), 80, 48]-NRT-code) [i]
148Linear OOA(773, 77, F7, 2, 46) (dual of [(77, 2), 81, 47]-NRT-code) [i]
149Linear OOA(772, 77, F7, 2, 45) (dual of [(77, 2), 82, 46]-NRT-code) [i]
150Linear OOA(771, 77, F7, 2, 44) (dual of [(77, 2), 83, 45]-NRT-code) [i]
151Linear OOA(770, 77, F7, 2, 43) (dual of [(77, 2), 84, 44]-NRT-code) [i]
152Linear OOA(769, 77, F7, 2, 42) (dual of [(77, 2), 85, 43]-NRT-code) [i]
153Linear OOA(768, 77, F7, 2, 41) (dual of [(77, 2), 86, 42]-NRT-code) [i]
154Linear OOA(767, 77, F7, 2, 40) (dual of [(77, 2), 87, 41]-NRT-code) [i]
155Linear OOA(766, 77, F7, 2, 39) (dual of [(77, 2), 88, 40]-NRT-code) [i]
156Linear OOA(765, 77, F7, 2, 38) (dual of [(77, 2), 89, 39]-NRT-code) [i]
157Linear OOA(764, 77, F7, 2, 37) (dual of [(77, 2), 90, 38]-NRT-code) [i]
158Linear OOA(763, 77, F7, 2, 36) (dual of [(77, 2), 91, 37]-NRT-code) [i]
159Linear OOA(762, 77, F7, 2, 35) (dual of [(77, 2), 92, 36]-NRT-code) [i]
160Linear OOA(761, 77, F7, 2, 34) (dual of [(77, 2), 93, 35]-NRT-code) [i]
161Linear OOA(760, 77, F7, 2, 33) (dual of [(77, 2), 94, 34]-NRT-code) [i]