Information on Result #600087

Function Field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8

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 (3, 23)-sequence over F8 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(89, 24, F8, 6) (dual of [24, 15, 7]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(810, 24, F8, 7) (dual of [24, 14, 8]-code) [i]
4Linear OA(811, 24, F8, 8) (dual of [24, 13, 9]-code) [i]
5Linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code) [i]
6Linear OA(813, 24, F8, 10) (dual of [24, 11, 11]-code) [i]
7Linear OA(814, 24, F8, 11) (dual of [24, 10, 12]-code) [i]
8Linear OA(815, 24, F8, 12) (dual of [24, 9, 13]-code) [i]
9Linear OA(816, 24, F8, 13) (dual of [24, 8, 14]-code) [i]
10Linear OA(817, 24, F8, 14) (dual of [24, 7, 15]-code) [i]
11Linear OA(818, 24, F8, 15) (dual of [24, 6, 16]-code) [i]
12Linear OA(819, 24, F8, 16) (dual of [24, 5, 17]-code) [i]
13Linear OA(820, 24, F8, 17) (dual of [24, 4, 18]-code) [i]
14Linear OOA(89, 24, F8, 2, 6) (dual of [(24, 2), 39, 7]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
15Linear OOA(810, 24, F8, 2, 7) (dual of [(24, 2), 38, 8]-NRT-code) [i]
16Linear OOA(811, 24, F8, 2, 8) (dual of [(24, 2), 37, 9]-NRT-code) [i]
17Linear OOA(812, 24, F8, 2, 9) (dual of [(24, 2), 36, 10]-NRT-code) [i]
18Linear OOA(813, 24, F8, 2, 10) (dual of [(24, 2), 35, 11]-NRT-code) [i]
19Linear OOA(814, 24, F8, 2, 11) (dual of [(24, 2), 34, 12]-NRT-code) [i]
20Linear OOA(815, 24, F8, 2, 12) (dual of [(24, 2), 33, 13]-NRT-code) [i]
21Linear OOA(816, 24, F8, 2, 13) (dual of [(24, 2), 32, 14]-NRT-code) [i]
22Linear OOA(817, 24, F8, 2, 14) (dual of [(24, 2), 31, 15]-NRT-code) [i]
23Linear OOA(818, 24, F8, 2, 15) (dual of [(24, 2), 30, 16]-NRT-code) [i]
24Linear OOA(819, 24, F8, 2, 16) (dual of [(24, 2), 29, 17]-NRT-code) [i]
25Linear OOA(820, 24, F8, 2, 17) (dual of [(24, 2), 28, 18]-NRT-code) [i]
26Linear OOA(821, 24, F8, 2, 18) (dual of [(24, 2), 27, 19]-NRT-code) [i]
27Linear OOA(822, 24, F8, 2, 19) (dual of [(24, 2), 26, 20]-NRT-code) [i]
28Linear OOA(823, 24, F8, 2, 20) (dual of [(24, 2), 25, 21]-NRT-code) [i]
29Linear OOA(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-NRT-code) [i]
30Linear OOA(825, 24, F8, 2, 22) (dual of [(24, 2), 23, 23]-NRT-code) [i]
31Linear OOA(826, 24, F8, 2, 23) (dual of [(24, 2), 22, 24]-NRT-code) [i]
32Linear OOA(827, 24, F8, 2, 24) (dual of [(24, 2), 21, 25]-NRT-code) [i]
33Linear OOA(828, 24, F8, 2, 25) (dual of [(24, 2), 20, 26]-NRT-code) [i]
34Linear OOA(829, 24, F8, 2, 26) (dual of [(24, 2), 19, 27]-NRT-code) [i]
35Linear OOA(830, 24, F8, 2, 27) (dual of [(24, 2), 18, 28]-NRT-code) [i]
36Linear OOA(831, 24, F8, 2, 28) (dual of [(24, 2), 17, 29]-NRT-code) [i]
37Linear OOA(832, 24, F8, 2, 29) (dual of [(24, 2), 16, 30]-NRT-code) [i]
38Linear OOA(833, 24, F8, 2, 30) (dual of [(24, 2), 15, 31]-NRT-code) [i]
39Linear OOA(834, 24, F8, 2, 31) (dual of [(24, 2), 14, 32]-NRT-code) [i]
40Linear OOA(835, 24, F8, 2, 32) (dual of [(24, 2), 13, 33]-NRT-code) [i]
41Linear OOA(836, 24, F8, 2, 33) (dual of [(24, 2), 12, 34]-NRT-code) [i]
42Linear OOA(837, 24, F8, 2, 34) (dual of [(24, 2), 11, 35]-NRT-code) [i]
43Linear OOA(838, 24, F8, 2, 35) (dual of [(24, 2), 10, 36]-NRT-code) [i]
44Linear OOA(839, 24, F8, 2, 36) (dual of [(24, 2), 9, 37]-NRT-code) [i]
45Linear OOA(840, 24, F8, 2, 37) (dual of [(24, 2), 8, 38]-NRT-code) [i]
46Linear OOA(841, 24, F8, 2, 38) (dual of [(24, 2), 7, 39]-NRT-code) [i]
47Linear OOA(842, 24, F8, 2, 39) (dual of [(24, 2), 6, 40]-NRT-code) [i]
48Linear OOA(843, 24, F8, 2, 40) (dual of [(24, 2), 5, 41]-NRT-code) [i]
49Linear OOA(844, 24, F8, 2, 41) (dual of [(24, 2), 4, 42]-NRT-code) [i]
50Linear OOA(845, 24, F8, 2, 42) (dual of [(24, 2), 3, 43]-NRT-code) [i]
51Linear OOA(846, 24, F8, 2, 43) (dual of [(24, 2), 2, 44]-NRT-code) [i]
52Linear OOA(89, 24, F8, 3, 6) (dual of [(24, 3), 63, 7]-NRT-code) [i]
53Linear OOA(810, 24, F8, 3, 7) (dual of [(24, 3), 62, 8]-NRT-code) [i]
54Linear OOA(811, 24, F8, 3, 8) (dual of [(24, 3), 61, 9]-NRT-code) [i]
55Linear OOA(812, 24, F8, 3, 9) (dual of [(24, 3), 60, 10]-NRT-code) [i]
56Linear OOA(813, 24, F8, 3, 10) (dual of [(24, 3), 59, 11]-NRT-code) [i]
57Linear OOA(814, 24, F8, 3, 11) (dual of [(24, 3), 58, 12]-NRT-code) [i]
58Linear OOA(815, 24, F8, 3, 12) (dual of [(24, 3), 57, 13]-NRT-code) [i]
59Linear OOA(816, 24, F8, 3, 13) (dual of [(24, 3), 56, 14]-NRT-code) [i]
60Linear OOA(817, 24, F8, 3, 14) (dual of [(24, 3), 55, 15]-NRT-code) [i]
61Linear OOA(818, 24, F8, 3, 15) (dual of [(24, 3), 54, 16]-NRT-code) [i]
62Linear OOA(819, 24, F8, 3, 16) (dual of [(24, 3), 53, 17]-NRT-code) [i]
63Linear OOA(820, 24, F8, 3, 17) (dual of [(24, 3), 52, 18]-NRT-code) [i]
64Linear OOA(821, 24, F8, 3, 18) (dual of [(24, 3), 51, 19]-NRT-code) [i]
65Linear OOA(822, 24, F8, 3, 19) (dual of [(24, 3), 50, 20]-NRT-code) [i]
66Linear OOA(823, 24, F8, 3, 20) (dual of [(24, 3), 49, 21]-NRT-code) [i]
67Linear OOA(824, 24, F8, 3, 21) (dual of [(24, 3), 48, 22]-NRT-code) [i]
68Linear OOA(825, 24, F8, 3, 22) (dual of [(24, 3), 47, 23]-NRT-code) [i]
69Linear OOA(826, 24, F8, 3, 23) (dual of [(24, 3), 46, 24]-NRT-code) [i]
70Linear OOA(827, 24, F8, 3, 24) (dual of [(24, 3), 45, 25]-NRT-code) [i]
71Linear OOA(828, 24, F8, 3, 25) (dual of [(24, 3), 44, 26]-NRT-code) [i]
72Linear OOA(829, 24, F8, 3, 26) (dual of [(24, 3), 43, 27]-NRT-code) [i]
73Linear OOA(830, 24, F8, 3, 27) (dual of [(24, 3), 42, 28]-NRT-code) [i]
74Linear OOA(831, 24, F8, 3, 28) (dual of [(24, 3), 41, 29]-NRT-code) [i]
75Linear OOA(832, 24, F8, 3, 29) (dual of [(24, 3), 40, 30]-NRT-code) [i]
76Linear OOA(833, 24, F8, 3, 30) (dual of [(24, 3), 39, 31]-NRT-code) [i]
77Linear OOA(834, 24, F8, 3, 31) (dual of [(24, 3), 38, 32]-NRT-code) [i]
78Linear OOA(835, 24, F8, 3, 32) (dual of [(24, 3), 37, 33]-NRT-code) [i]
79Linear OOA(836, 24, F8, 3, 33) (dual of [(24, 3), 36, 34]-NRT-code) [i]
80Linear OOA(837, 24, F8, 3, 34) (dual of [(24, 3), 35, 35]-NRT-code) [i]
81Linear OOA(838, 24, F8, 3, 35) (dual of [(24, 3), 34, 36]-NRT-code) [i]
82Linear OOA(839, 24, F8, 3, 36) (dual of [(24, 3), 33, 37]-NRT-code) [i]
83Linear OOA(840, 24, F8, 3, 37) (dual of [(24, 3), 32, 38]-NRT-code) [i]
84Linear OOA(841, 24, F8, 3, 38) (dual of [(24, 3), 31, 39]-NRT-code) [i]
85Linear OOA(842, 24, F8, 3, 39) (dual of [(24, 3), 30, 40]-NRT-code) [i]
86Linear OOA(843, 24, F8, 3, 40) (dual of [(24, 3), 29, 41]-NRT-code) [i]
87Linear OOA(844, 24, F8, 3, 41) (dual of [(24, 3), 28, 42]-NRT-code) [i]
88Linear OOA(845, 24, F8, 3, 42) (dual of [(24, 3), 27, 43]-NRT-code) [i]
89Linear OOA(846, 24, F8, 3, 43) (dual of [(24, 3), 26, 44]-NRT-code) [i]
90Linear OOA(847, 24, F8, 3, 44) (dual of [(24, 3), 25, 45]-NRT-code) [i]
91Linear OOA(848, 24, F8, 3, 45) (dual of [(24, 3), 24, 46]-NRT-code) [i]
92Linear OOA(849, 24, F8, 3, 46) (dual of [(24, 3), 23, 47]-NRT-code) [i]
93Linear OOA(850, 24, F8, 3, 47) (dual of [(24, 3), 22, 48]-NRT-code) [i]
94Linear OOA(851, 24, F8, 3, 48) (dual of [(24, 3), 21, 49]-NRT-code) [i]
95Linear OOA(852, 24, F8, 3, 49) (dual of [(24, 3), 20, 50]-NRT-code) [i]
96Linear OOA(853, 24, F8, 3, 50) (dual of [(24, 3), 19, 51]-NRT-code) [i]
97Linear OOA(854, 24, F8, 3, 51) (dual of [(24, 3), 18, 52]-NRT-code) [i]
98Linear OOA(855, 24, F8, 3, 52) (dual of [(24, 3), 17, 53]-NRT-code) [i]
99Linear OOA(856, 24, F8, 3, 53) (dual of [(24, 3), 16, 54]-NRT-code) [i]
100Linear OOA(857, 24, F8, 3, 54) (dual of [(24, 3), 15, 55]-NRT-code) [i]
101Linear OOA(858, 24, F8, 3, 55) (dual of [(24, 3), 14, 56]-NRT-code) [i]
102Linear OOA(859, 24, F8, 3, 56) (dual of [(24, 3), 13, 57]-NRT-code) [i]
103Linear OOA(860, 24, F8, 3, 57) (dual of [(24, 3), 12, 58]-NRT-code) [i]
104Linear OOA(861, 24, F8, 3, 58) (dual of [(24, 3), 11, 59]-NRT-code) [i]
105Linear OOA(862, 24, F8, 3, 59) (dual of [(24, 3), 10, 60]-NRT-code) [i]
106Linear OOA(863, 24, F8, 3, 60) (dual of [(24, 3), 9, 61]-NRT-code) [i]
107Linear OOA(864, 24, F8, 3, 61) (dual of [(24, 3), 8, 62]-NRT-code) [i]
108Linear OOA(865, 24, F8, 3, 62) (dual of [(24, 3), 7, 63]-NRT-code) [i]
109Linear OOA(866, 24, F8, 3, 63) (dual of [(24, 3), 6, 64]-NRT-code) [i]
110Linear OOA(867, 24, F8, 3, 64) (dual of [(24, 3), 5, 65]-NRT-code) [i]
111Linear OOA(868, 24, F8, 3, 65) (dual of [(24, 3), 4, 66]-NRT-code) [i]
112Linear OOA(869, 24, F8, 3, 66) (dual of [(24, 3), 3, 67]-NRT-code) [i]
113Linear OOA(870, 24, F8, 3, 67) (dual of [(24, 3), 2, 68]-NRT-code) [i]
114Linear OA(821, 23, F8, 18) (dual of [23, 2, 19]-code) [i]Algebraic-Geometric Codes
115Linear OA(819, 23, F8, 16) (dual of [23, 4, 17]-code) [i]
116Linear OA(820, 23, F8, 17) (dual of [23, 3, 18]-code) [i]
117Linear OA(818, 23, F8, 15) (dual of [23, 5, 16]-code) [i]
118Linear OA(817, 23, F8, 14) (dual of [23, 6, 15]-code) [i]
119Linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code) [i]
120Linear OA(815, 23, F8, 12) (dual of [23, 8, 13]-code) [i]
121Linear OA(814, 23, F8, 11) (dual of [23, 9, 12]-code) [i]
122Linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code) [i]
123Linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code) [i]
124Linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-code) [i]
125Linear OA(810, 23, F8, 7) (dual of [23, 13, 8]-code) [i]
126Linear OA(89, 23, F8, 6) (dual of [23, 14, 7]-code) [i]
127Linear OA(88, 23, F8, 5) (dual of [23, 15, 6]-code) [i]
128Linear OA(87, 23, F8, 4) (dual of [23, 16, 5]-code) [i]
129Linear OA(822, 23, F8, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,8)) [i]
130Linear OA(821, 23, F8, 19) (dual of [23, 2, 20]-code) [i]✔Algebraic-Geometric Codes with Known Gap Numbers
131Linear OOA(844, 23, F8, 2, 42) (dual of [(23, 2), 2, 43]-NRT-code) [i]✔Algebraic-Geometric NRT-Codes with Known Gap Numbers
132Linear OOA(867, 23, F8, 3, 65) (dual of [(23, 3), 2, 66]-NRT-code) [i]✔
133Linear OA(822, 24, F8, 19) (dual of [24, 2, 20]-code) [i]✔Algebraic-Geometric Codes Defined Using a Non-Rational Place
134Linear OA(820, 24, F8, 17) (dual of [24, 4, 18]-code) [i]✔
135Linear OA(818, 24, F8, 15) (dual of [24, 6, 16]-code) [i]✔
136Linear OA(816, 24, F8, 13) (dual of [24, 8, 14]-code) [i]✔
137Linear OA(814, 24, F8, 11) (dual of [24, 10, 12]-code) [i]✔
138Linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code) [i]✔
139Linear OA(810, 24, F8, 7) (dual of [24, 14, 8]-code) [i]✔
140Linear OA(88, 24, F8, 5) (dual of [24, 16, 6]-code) [i]✔
141Linear OA(823, 24, F8, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,8)) [i]✔