Information on Result #600321

Function Field F/F8 with g(F) = 2 and N(F) ≥ 18, using sharp bound on the number of rational points on curves with genus 2

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 (2, 17)-sequence over F8 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(811, 18, F8, 9) (dual of [18, 7, 10]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(812, 18, F8, 10) (dual of [18, 6, 11]-code) [i]
4Linear OOA(88, 18, F8, 2, 6) (dual of [(18, 2), 28, 7]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
5Linear OOA(89, 18, F8, 2, 7) (dual of [(18, 2), 27, 8]-NRT-code) [i]
6Linear OOA(810, 18, F8, 2, 8) (dual of [(18, 2), 26, 9]-NRT-code) [i]
7Linear OOA(811, 18, F8, 2, 9) (dual of [(18, 2), 25, 10]-NRT-code) [i]
8Linear OOA(812, 18, F8, 2, 10) (dual of [(18, 2), 24, 11]-NRT-code) [i]
9Linear OOA(813, 18, F8, 2, 11) (dual of [(18, 2), 23, 12]-NRT-code) [i]
10Linear OOA(814, 18, F8, 2, 12) (dual of [(18, 2), 22, 13]-NRT-code) [i]
11Linear OOA(815, 18, F8, 2, 13) (dual of [(18, 2), 21, 14]-NRT-code) [i]
12Linear OOA(816, 18, F8, 2, 14) (dual of [(18, 2), 20, 15]-NRT-code) [i]
13Linear OOA(817, 18, F8, 2, 15) (dual of [(18, 2), 19, 16]-NRT-code) [i]
14Linear OOA(818, 18, F8, 2, 16) (dual of [(18, 2), 18, 17]-NRT-code) [i]
15Linear OOA(819, 18, F8, 2, 17) (dual of [(18, 2), 17, 18]-NRT-code) [i]
16Linear OOA(820, 18, F8, 2, 18) (dual of [(18, 2), 16, 19]-NRT-code) [i]
17Linear OOA(821, 18, F8, 2, 19) (dual of [(18, 2), 15, 20]-NRT-code) [i]
18Linear OOA(822, 18, F8, 2, 20) (dual of [(18, 2), 14, 21]-NRT-code) [i]
19Linear OOA(823, 18, F8, 2, 21) (dual of [(18, 2), 13, 22]-NRT-code) [i]
20Linear OOA(824, 18, F8, 2, 22) (dual of [(18, 2), 12, 23]-NRT-code) [i]
21Linear OOA(825, 18, F8, 2, 23) (dual of [(18, 2), 11, 24]-NRT-code) [i]
22Linear OOA(826, 18, F8, 2, 24) (dual of [(18, 2), 10, 25]-NRT-code) [i]
23Linear OOA(827, 18, F8, 2, 25) (dual of [(18, 2), 9, 26]-NRT-code) [i]
24Linear OOA(828, 18, F8, 2, 26) (dual of [(18, 2), 8, 27]-NRT-code) [i]
25Linear OOA(829, 18, F8, 2, 27) (dual of [(18, 2), 7, 28]-NRT-code) [i]
26Linear OOA(830, 18, F8, 2, 28) (dual of [(18, 2), 6, 29]-NRT-code) [i]
27Linear OOA(831, 18, F8, 2, 29) (dual of [(18, 2), 5, 30]-NRT-code) [i]
28Linear OOA(832, 18, F8, 2, 30) (dual of [(18, 2), 4, 31]-NRT-code) [i]
29Linear OOA(88, 18, F8, 3, 6) (dual of [(18, 3), 46, 7]-NRT-code) [i]
30Linear OOA(89, 18, F8, 3, 7) (dual of [(18, 3), 45, 8]-NRT-code) [i]
31Linear OOA(810, 18, F8, 3, 8) (dual of [(18, 3), 44, 9]-NRT-code) [i]
32Linear OOA(811, 18, F8, 3, 9) (dual of [(18, 3), 43, 10]-NRT-code) [i]
33Linear OOA(812, 18, F8, 3, 10) (dual of [(18, 3), 42, 11]-NRT-code) [i]
34Linear OOA(813, 18, F8, 3, 11) (dual of [(18, 3), 41, 12]-NRT-code) [i]
35Linear OOA(814, 18, F8, 3, 12) (dual of [(18, 3), 40, 13]-NRT-code) [i]
36Linear OOA(815, 18, F8, 3, 13) (dual of [(18, 3), 39, 14]-NRT-code) [i]
37Linear OOA(816, 18, F8, 3, 14) (dual of [(18, 3), 38, 15]-NRT-code) [i]
38Linear OOA(817, 18, F8, 3, 15) (dual of [(18, 3), 37, 16]-NRT-code) [i]
39Linear OOA(818, 18, F8, 3, 16) (dual of [(18, 3), 36, 17]-NRT-code) [i]
40Linear OOA(819, 18, F8, 3, 17) (dual of [(18, 3), 35, 18]-NRT-code) [i]
41Linear OOA(820, 18, F8, 3, 18) (dual of [(18, 3), 34, 19]-NRT-code) [i]
42Linear OOA(821, 18, F8, 3, 19) (dual of [(18, 3), 33, 20]-NRT-code) [i]
43Linear OOA(822, 18, F8, 3, 20) (dual of [(18, 3), 32, 21]-NRT-code) [i]
44Linear OOA(823, 18, F8, 3, 21) (dual of [(18, 3), 31, 22]-NRT-code) [i]
45Linear OOA(824, 18, F8, 3, 22) (dual of [(18, 3), 30, 23]-NRT-code) [i]
46Linear OOA(825, 18, F8, 3, 23) (dual of [(18, 3), 29, 24]-NRT-code) [i]
47Linear OOA(826, 18, F8, 3, 24) (dual of [(18, 3), 28, 25]-NRT-code) [i]
48Linear OOA(827, 18, F8, 3, 25) (dual of [(18, 3), 27, 26]-NRT-code) [i]
49Linear OOA(828, 18, F8, 3, 26) (dual of [(18, 3), 26, 27]-NRT-code) [i]
50Linear OOA(829, 18, F8, 3, 27) (dual of [(18, 3), 25, 28]-NRT-code) [i]
51Linear OOA(830, 18, F8, 3, 28) (dual of [(18, 3), 24, 29]-NRT-code) [i]
52Linear OOA(831, 18, F8, 3, 29) (dual of [(18, 3), 23, 30]-NRT-code) [i]
53Linear OOA(832, 18, F8, 3, 30) (dual of [(18, 3), 22, 31]-NRT-code) [i]
54Linear OOA(833, 18, F8, 3, 31) (dual of [(18, 3), 21, 32]-NRT-code) [i]
55Linear OOA(834, 18, F8, 3, 32) (dual of [(18, 3), 20, 33]-NRT-code) [i]
56Linear OOA(835, 18, F8, 3, 33) (dual of [(18, 3), 19, 34]-NRT-code) [i]
57Linear OOA(836, 18, F8, 3, 34) (dual of [(18, 3), 18, 35]-NRT-code) [i]
58Linear OOA(837, 18, F8, 3, 35) (dual of [(18, 3), 17, 36]-NRT-code) [i]
59Linear OOA(838, 18, F8, 3, 36) (dual of [(18, 3), 16, 37]-NRT-code) [i]
60Linear OOA(839, 18, F8, 3, 37) (dual of [(18, 3), 15, 38]-NRT-code) [i]
61Linear OOA(840, 18, F8, 3, 38) (dual of [(18, 3), 14, 39]-NRT-code) [i]
62Linear OOA(841, 18, F8, 3, 39) (dual of [(18, 3), 13, 40]-NRT-code) [i]
63Linear OOA(842, 18, F8, 3, 40) (dual of [(18, 3), 12, 41]-NRT-code) [i]
64Linear OOA(843, 18, F8, 3, 41) (dual of [(18, 3), 11, 42]-NRT-code) [i]
65Linear OOA(844, 18, F8, 3, 42) (dual of [(18, 3), 10, 43]-NRT-code) [i]
66Linear OOA(845, 18, F8, 3, 43) (dual of [(18, 3), 9, 44]-NRT-code) [i]
67Linear OOA(846, 18, F8, 3, 44) (dual of [(18, 3), 8, 45]-NRT-code) [i]
68Linear OOA(847, 18, F8, 3, 45) (dual of [(18, 3), 7, 46]-NRT-code) [i]
69Linear OOA(848, 18, F8, 3, 46) (dual of [(18, 3), 6, 47]-NRT-code) [i]
70Linear OOA(849, 18, F8, 3, 47) (dual of [(18, 3), 5, 48]-NRT-code) [i]
71Linear OOA(850, 18, F8, 3, 48) (dual of [(18, 3), 4, 49]-NRT-code) [i]