Information on Result #600261

Function Field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat

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 (7, 33)-sequence over F8 [i]Niederreiter–Xing Sequence Construction II/III
2Digital (8, 34)-sequence over F8 [i]✔Niederreiter–Xing Sequence Construction III Using Non-Rational Places
3Linear OA(819, 34, F8, 12) (dual of [34, 15, 13]-code) [i]Extended Algebraic-Geometric Codes
4Linear OA(820, 34, F8, 13) (dual of [34, 14, 14]-code) [i]
5Linear OA(821, 34, F8, 14) (dual of [34, 13, 15]-code) [i]
6Linear OA(822, 34, F8, 15) (dual of [34, 12, 16]-code) [i]
7Linear OA(823, 34, F8, 16) (dual of [34, 11, 17]-code) [i]
8Linear OA(824, 34, F8, 17) (dual of [34, 10, 18]-code) [i]
9Linear OA(825, 34, F8, 18) (dual of [34, 9, 19]-code) [i]
10Linear OA(826, 34, F8, 19) (dual of [34, 8, 20]-code) [i]
11Linear OA(827, 34, F8, 20) (dual of [34, 7, 21]-code) [i]
12Linear OA(828, 34, F8, 21) (dual of [34, 6, 22]-code) [i]
13Linear OA(829, 34, F8, 22) (dual of [34, 5, 23]-code) [i]
14Linear OOA(815, 34, F8, 2, 8) (dual of [(34, 2), 53, 9]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
15Linear OOA(816, 34, F8, 2, 9) (dual of [(34, 2), 52, 10]-NRT-code) [i]
16Linear OOA(817, 34, F8, 2, 10) (dual of [(34, 2), 51, 11]-NRT-code) [i]
17Linear OOA(818, 34, F8, 2, 11) (dual of [(34, 2), 50, 12]-NRT-code) [i]
18Linear OOA(819, 34, F8, 2, 12) (dual of [(34, 2), 49, 13]-NRT-code) [i]
19Linear OOA(820, 34, F8, 2, 13) (dual of [(34, 2), 48, 14]-NRT-code) [i]
20Linear OOA(821, 34, F8, 2, 14) (dual of [(34, 2), 47, 15]-NRT-code) [i]
21Linear OOA(822, 34, F8, 2, 15) (dual of [(34, 2), 46, 16]-NRT-code) [i]
22Linear OOA(823, 34, F8, 2, 16) (dual of [(34, 2), 45, 17]-NRT-code) [i]
23Linear OOA(824, 34, F8, 2, 17) (dual of [(34, 2), 44, 18]-NRT-code) [i]
24Linear OOA(825, 34, F8, 2, 18) (dual of [(34, 2), 43, 19]-NRT-code) [i]
25Linear OOA(826, 34, F8, 2, 19) (dual of [(34, 2), 42, 20]-NRT-code) [i]
26Linear OOA(827, 34, F8, 2, 20) (dual of [(34, 2), 41, 21]-NRT-code) [i]
27Linear OOA(828, 34, F8, 2, 21) (dual of [(34, 2), 40, 22]-NRT-code) [i]
28Linear OOA(829, 34, F8, 2, 22) (dual of [(34, 2), 39, 23]-NRT-code) [i]
29Linear OOA(830, 34, F8, 2, 23) (dual of [(34, 2), 38, 24]-NRT-code) [i]
30Linear OOA(831, 34, F8, 2, 24) (dual of [(34, 2), 37, 25]-NRT-code) [i]
31Linear OOA(832, 34, F8, 2, 25) (dual of [(34, 2), 36, 26]-NRT-code) [i]
32Linear OOA(833, 34, F8, 2, 26) (dual of [(34, 2), 35, 27]-NRT-code) [i]
33Linear OOA(834, 34, F8, 2, 27) (dual of [(34, 2), 34, 28]-NRT-code) [i]
34Linear OOA(835, 34, F8, 2, 28) (dual of [(34, 2), 33, 29]-NRT-code) [i]
35Linear OOA(836, 34, F8, 2, 29) (dual of [(34, 2), 32, 30]-NRT-code) [i]
36Linear OOA(837, 34, F8, 2, 30) (dual of [(34, 2), 31, 31]-NRT-code) [i]
37Linear OOA(838, 34, F8, 2, 31) (dual of [(34, 2), 30, 32]-NRT-code) [i]
38Linear OOA(839, 34, F8, 2, 32) (dual of [(34, 2), 29, 33]-NRT-code) [i]
39Linear OOA(840, 34, F8, 2, 33) (dual of [(34, 2), 28, 34]-NRT-code) [i]
40Linear OOA(841, 34, F8, 2, 34) (dual of [(34, 2), 27, 35]-NRT-code) [i]
41Linear OOA(842, 34, F8, 2, 35) (dual of [(34, 2), 26, 36]-NRT-code) [i]
42Linear OOA(843, 34, F8, 2, 36) (dual of [(34, 2), 25, 37]-NRT-code) [i]
43Linear OOA(844, 34, F8, 2, 37) (dual of [(34, 2), 24, 38]-NRT-code) [i]
44Linear OOA(845, 34, F8, 2, 38) (dual of [(34, 2), 23, 39]-NRT-code) [i]
45Linear OOA(846, 34, F8, 2, 39) (dual of [(34, 2), 22, 40]-NRT-code) [i]
46Linear OOA(847, 34, F8, 2, 40) (dual of [(34, 2), 21, 41]-NRT-code) [i]
47Linear OOA(848, 34, F8, 2, 41) (dual of [(34, 2), 20, 42]-NRT-code) [i]
48Linear OOA(849, 34, F8, 2, 42) (dual of [(34, 2), 19, 43]-NRT-code) [i]
49Linear OOA(850, 34, F8, 2, 43) (dual of [(34, 2), 18, 44]-NRT-code) [i]
50Linear OOA(851, 34, F8, 2, 44) (dual of [(34, 2), 17, 45]-NRT-code) [i]
51Linear OOA(852, 34, F8, 2, 45) (dual of [(34, 2), 16, 46]-NRT-code) [i]
52Linear OOA(853, 34, F8, 2, 46) (dual of [(34, 2), 15, 47]-NRT-code) [i]
53Linear OOA(854, 34, F8, 2, 47) (dual of [(34, 2), 14, 48]-NRT-code) [i]
54Linear OOA(855, 34, F8, 2, 48) (dual of [(34, 2), 13, 49]-NRT-code) [i]
55Linear OOA(856, 34, F8, 2, 49) (dual of [(34, 2), 12, 50]-NRT-code) [i]
56Linear OOA(857, 34, F8, 2, 50) (dual of [(34, 2), 11, 51]-NRT-code) [i]
57Linear OOA(858, 34, F8, 2, 51) (dual of [(34, 2), 10, 52]-NRT-code) [i]
58Linear OOA(859, 34, F8, 2, 52) (dual of [(34, 2), 9, 53]-NRT-code) [i]
59Linear OOA(860, 34, F8, 2, 53) (dual of [(34, 2), 8, 54]-NRT-code) [i]
60Linear OOA(861, 34, F8, 2, 54) (dual of [(34, 2), 7, 55]-NRT-code) [i]
61Linear OOA(862, 34, F8, 2, 55) (dual of [(34, 2), 6, 56]-NRT-code) [i]
62Linear OOA(863, 34, F8, 2, 56) (dual of [(34, 2), 5, 57]-NRT-code) [i]
63Linear OOA(864, 34, F8, 2, 57) (dual of [(34, 2), 4, 58]-NRT-code) [i]
64Linear OOA(815, 34, F8, 3, 8) (dual of [(34, 3), 87, 9]-NRT-code) [i]
65Linear OOA(816, 34, F8, 3, 9) (dual of [(34, 3), 86, 10]-NRT-code) [i]
66Linear OOA(817, 34, F8, 3, 10) (dual of [(34, 3), 85, 11]-NRT-code) [i]
67Linear OOA(818, 34, F8, 3, 11) (dual of [(34, 3), 84, 12]-NRT-code) [i]
68Linear OOA(819, 34, F8, 3, 12) (dual of [(34, 3), 83, 13]-NRT-code) [i]
69Linear OOA(820, 34, F8, 3, 13) (dual of [(34, 3), 82, 14]-NRT-code) [i]
70Linear OOA(821, 34, F8, 3, 14) (dual of [(34, 3), 81, 15]-NRT-code) [i]
71Linear OOA(822, 34, F8, 3, 15) (dual of [(34, 3), 80, 16]-NRT-code) [i]
72Linear OOA(823, 34, F8, 3, 16) (dual of [(34, 3), 79, 17]-NRT-code) [i]
73Linear OOA(824, 34, F8, 3, 17) (dual of [(34, 3), 78, 18]-NRT-code) [i]
74Linear OOA(825, 34, F8, 3, 18) (dual of [(34, 3), 77, 19]-NRT-code) [i]
75Linear OOA(826, 34, F8, 3, 19) (dual of [(34, 3), 76, 20]-NRT-code) [i]
76Linear OOA(827, 34, F8, 3, 20) (dual of [(34, 3), 75, 21]-NRT-code) [i]
77Linear OOA(828, 34, F8, 3, 21) (dual of [(34, 3), 74, 22]-NRT-code) [i]
78Linear OOA(829, 34, F8, 3, 22) (dual of [(34, 3), 73, 23]-NRT-code) [i]
79Linear OOA(830, 34, F8, 3, 23) (dual of [(34, 3), 72, 24]-NRT-code) [i]
80Linear OOA(831, 34, F8, 3, 24) (dual of [(34, 3), 71, 25]-NRT-code) [i]
81Linear OOA(832, 34, F8, 3, 25) (dual of [(34, 3), 70, 26]-NRT-code) [i]
82Linear OOA(833, 34, F8, 3, 26) (dual of [(34, 3), 69, 27]-NRT-code) [i]
83Linear OOA(834, 34, F8, 3, 27) (dual of [(34, 3), 68, 28]-NRT-code) [i]
84Linear OOA(835, 34, F8, 3, 28) (dual of [(34, 3), 67, 29]-NRT-code) [i]
85Linear OOA(836, 34, F8, 3, 29) (dual of [(34, 3), 66, 30]-NRT-code) [i]
86Linear OOA(837, 34, F8, 3, 30) (dual of [(34, 3), 65, 31]-NRT-code) [i]
87Linear OOA(838, 34, F8, 3, 31) (dual of [(34, 3), 64, 32]-NRT-code) [i]
88Linear OOA(839, 34, F8, 3, 32) (dual of [(34, 3), 63, 33]-NRT-code) [i]
89Linear OOA(840, 34, F8, 3, 33) (dual of [(34, 3), 62, 34]-NRT-code) [i]
90Linear OOA(841, 34, F8, 3, 34) (dual of [(34, 3), 61, 35]-NRT-code) [i]
91Linear OOA(842, 34, F8, 3, 35) (dual of [(34, 3), 60, 36]-NRT-code) [i]
92Linear OOA(843, 34, F8, 3, 36) (dual of [(34, 3), 59, 37]-NRT-code) [i]
93Linear OOA(844, 34, F8, 3, 37) (dual of [(34, 3), 58, 38]-NRT-code) [i]
94Linear OOA(845, 34, F8, 3, 38) (dual of [(34, 3), 57, 39]-NRT-code) [i]
95Linear OOA(846, 34, F8, 3, 39) (dual of [(34, 3), 56, 40]-NRT-code) [i]
96Linear OOA(847, 34, F8, 3, 40) (dual of [(34, 3), 55, 41]-NRT-code) [i]
97Linear OOA(848, 34, F8, 3, 41) (dual of [(34, 3), 54, 42]-NRT-code) [i]
98Linear OOA(849, 34, F8, 3, 42) (dual of [(34, 3), 53, 43]-NRT-code) [i]
99Linear OOA(850, 34, F8, 3, 43) (dual of [(34, 3), 52, 44]-NRT-code) [i]
100Linear OOA(851, 34, F8, 3, 44) (dual of [(34, 3), 51, 45]-NRT-code) [i]
101Linear OOA(852, 34, F8, 3, 45) (dual of [(34, 3), 50, 46]-NRT-code) [i]
102Linear OOA(853, 34, F8, 3, 46) (dual of [(34, 3), 49, 47]-NRT-code) [i]
103Linear OOA(854, 34, F8, 3, 47) (dual of [(34, 3), 48, 48]-NRT-code) [i]
104Linear OOA(855, 34, F8, 3, 48) (dual of [(34, 3), 47, 49]-NRT-code) [i]
105Linear OOA(856, 34, F8, 3, 49) (dual of [(34, 3), 46, 50]-NRT-code) [i]
106Linear OOA(857, 34, F8, 3, 50) (dual of [(34, 3), 45, 51]-NRT-code) [i]
107Linear OOA(858, 34, F8, 3, 51) (dual of [(34, 3), 44, 52]-NRT-code) [i]
108Linear OOA(859, 34, F8, 3, 52) (dual of [(34, 3), 43, 53]-NRT-code) [i]
109Linear OOA(860, 34, F8, 3, 53) (dual of [(34, 3), 42, 54]-NRT-code) [i]
110Linear OOA(861, 34, F8, 3, 54) (dual of [(34, 3), 41, 55]-NRT-code) [i]
111Linear OOA(862, 34, F8, 3, 55) (dual of [(34, 3), 40, 56]-NRT-code) [i]
112Linear OOA(863, 34, F8, 3, 56) (dual of [(34, 3), 39, 57]-NRT-code) [i]
113Linear OOA(864, 34, F8, 3, 57) (dual of [(34, 3), 38, 58]-NRT-code) [i]
114Linear OOA(865, 34, F8, 3, 58) (dual of [(34, 3), 37, 59]-NRT-code) [i]
115Linear OOA(866, 34, F8, 3, 59) (dual of [(34, 3), 36, 60]-NRT-code) [i]
116Linear OOA(867, 34, F8, 3, 60) (dual of [(34, 3), 35, 61]-NRT-code) [i]
117Linear OOA(868, 34, F8, 3, 61) (dual of [(34, 3), 34, 62]-NRT-code) [i]
118Linear OOA(869, 34, F8, 3, 62) (dual of [(34, 3), 33, 63]-NRT-code) [i]
119Linear OOA(870, 34, F8, 3, 63) (dual of [(34, 3), 32, 64]-NRT-code) [i]
120Linear OOA(871, 34, F8, 3, 64) (dual of [(34, 3), 31, 65]-NRT-code) [i]
121Linear OOA(872, 34, F8, 3, 65) (dual of [(34, 3), 30, 66]-NRT-code) [i]
122Linear OOA(873, 34, F8, 3, 66) (dual of [(34, 3), 29, 67]-NRT-code) [i]
123Linear OOA(874, 34, F8, 3, 67) (dual of [(34, 3), 28, 68]-NRT-code) [i]
124Linear OOA(875, 34, F8, 3, 68) (dual of [(34, 3), 27, 69]-NRT-code) [i]
125Linear OOA(876, 34, F8, 3, 69) (dual of [(34, 3), 26, 70]-NRT-code) [i]
126Linear OOA(877, 34, F8, 3, 70) (dual of [(34, 3), 25, 71]-NRT-code) [i]
127Linear OOA(878, 34, F8, 3, 71) (dual of [(34, 3), 24, 72]-NRT-code) [i]
128Linear OOA(879, 34, F8, 3, 72) (dual of [(34, 3), 23, 73]-NRT-code) [i]
129Linear OOA(880, 34, F8, 3, 73) (dual of [(34, 3), 22, 74]-NRT-code) [i]
130Linear OOA(881, 34, F8, 3, 74) (dual of [(34, 3), 21, 75]-NRT-code) [i]
131Linear OOA(882, 34, F8, 3, 75) (dual of [(34, 3), 20, 76]-NRT-code) [i]
132Linear OOA(883, 34, F8, 3, 76) (dual of [(34, 3), 19, 77]-NRT-code) [i]
133Linear OOA(884, 34, F8, 3, 77) (dual of [(34, 3), 18, 78]-NRT-code) [i]
134Linear OOA(885, 34, F8, 3, 78) (dual of [(34, 3), 17, 79]-NRT-code) [i]
135Linear OOA(886, 34, F8, 3, 79) (dual of [(34, 3), 16, 80]-NRT-code) [i]
136Linear OOA(887, 34, F8, 3, 80) (dual of [(34, 3), 15, 81]-NRT-code) [i]
137Linear OOA(888, 34, F8, 3, 81) (dual of [(34, 3), 14, 82]-NRT-code) [i]
138Linear OOA(889, 34, F8, 3, 82) (dual of [(34, 3), 13, 83]-NRT-code) [i]
139Linear OOA(890, 34, F8, 3, 83) (dual of [(34, 3), 12, 84]-NRT-code) [i]
140Linear OOA(891, 34, F8, 3, 84) (dual of [(34, 3), 11, 85]-NRT-code) [i]
141Linear OOA(892, 34, F8, 3, 85) (dual of [(34, 3), 10, 86]-NRT-code) [i]
142Linear OOA(893, 34, F8, 3, 86) (dual of [(34, 3), 9, 87]-NRT-code) [i]
143Linear OOA(894, 34, F8, 3, 87) (dual of [(34, 3), 8, 88]-NRT-code) [i]
144Linear OOA(895, 34, F8, 3, 88) (dual of [(34, 3), 7, 89]-NRT-code) [i]
145Linear OOA(896, 34, F8, 3, 89) (dual of [(34, 3), 6, 90]-NRT-code) [i]
146Linear OOA(897, 34, F8, 3, 90) (dual of [(34, 3), 5, 91]-NRT-code) [i]
147Linear OOA(898, 34, F8, 3, 91) (dual of [(34, 3), 4, 92]-NRT-code) [i]
148Linear OOA(899, 34, F8, 3, 92) (dual of [(34, 3), 3, 93]-NRT-code) [i]
149Linear OOA(8100, 34, F8, 3, 93) (dual of [(34, 3), 2, 94]-NRT-code) [i]
150Linear OA(828, 33, F8, 21) (dual of [33, 5, 22]-code) [i]Algebraic-Geometric Codes
151Linear OA(826, 33, F8, 19) (dual of [33, 7, 20]-code) [i]
152Linear OA(827, 33, F8, 20) (dual of [33, 6, 21]-code) [i]
153Linear OA(825, 33, F8, 18) (dual of [33, 8, 19]-code) [i]
154Linear OA(824, 33, F8, 17) (dual of [33, 9, 18]-code) [i]
155Linear OA(823, 33, F8, 16) (dual of [33, 10, 17]-code) [i]
156Linear OA(822, 33, F8, 15) (dual of [33, 11, 16]-code) [i]
157Linear OA(821, 33, F8, 14) (dual of [33, 12, 15]-code) [i]
158Linear OA(820, 33, F8, 13) (dual of [33, 13, 14]-code) [i]
159Linear OA(819, 33, F8, 12) (dual of [33, 14, 13]-code) [i]
160Linear OA(818, 33, F8, 11) (dual of [33, 15, 12]-code) [i]
161Linear OA(828, 34, F8, 21) (dual of [34, 6, 22]-code) [i]✔Algebraic-Geometric Codes Defined Using a Non-Rational Place
162Linear OA(826, 34, F8, 19) (dual of [34, 8, 20]-code) [i]✔
163Linear OA(824, 34, F8, 17) (dual of [34, 10, 18]-code) [i]✔
164Linear OA(822, 34, F8, 15) (dual of [34, 12, 16]-code) [i]✔
165Linear OA(820, 34, F8, 13) (dual of [34, 14, 14]-code) [i]✔
166Linear OA(818, 34, F8, 11) (dual of [34, 16, 12]-code) [i]✔