Information on Result #600264

Function Field F/F9 with g(F) = 4 and N(F) ≥ 30, 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 (4, 29)-sequence over F9 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(911, 30, F9, 7) (dual of [30, 19, 8]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(912, 30, F9, 8) (dual of [30, 18, 9]-code) [i]
4Linear OA(913, 30, F9, 9) (dual of [30, 17, 10]-code) [i]
5Linear OA(914, 30, F9, 10) (dual of [30, 16, 11]-code) [i]
6Linear OA(916, 30, F9, 12) (dual of [30, 14, 13]-code) [i]
7Linear OA(917, 30, F9, 13) (dual of [30, 13, 14]-code) [i]
8Linear OA(918, 30, F9, 14) (dual of [30, 12, 15]-code) [i]
9Linear OA(919, 30, F9, 15) (dual of [30, 11, 16]-code) [i]
10Linear OA(920, 30, F9, 16) (dual of [30, 10, 17]-code) [i]
11Linear OA(921, 30, F9, 17) (dual of [30, 9, 18]-code) [i]
12Linear OA(922, 30, F9, 18) (dual of [30, 8, 19]-code) [i]
13Linear OA(923, 30, F9, 19) (dual of [30, 7, 20]-code) [i]
14Linear OA(924, 30, F9, 20) (dual of [30, 6, 21]-code) [i]
15Linear OA(925, 30, F9, 21) (dual of [30, 5, 22]-code) [i]
16Linear OA(926, 30, F9, 22) (dual of [30, 4, 23]-code) [i]
17Linear OOA(910, 30, F9, 2, 6) (dual of [(30, 2), 50, 7]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
18Linear OOA(911, 30, F9, 2, 7) (dual of [(30, 2), 49, 8]-NRT-code) [i]
19Linear OOA(912, 30, F9, 2, 8) (dual of [(30, 2), 48, 9]-NRT-code) [i]
20Linear OOA(913, 30, F9, 2, 9) (dual of [(30, 2), 47, 10]-NRT-code) [i]
21Linear OOA(914, 30, F9, 2, 10) (dual of [(30, 2), 46, 11]-NRT-code) [i]
22Linear OOA(915, 30, F9, 2, 11) (dual of [(30, 2), 45, 12]-NRT-code) [i]
23Linear OOA(916, 30, F9, 2, 12) (dual of [(30, 2), 44, 13]-NRT-code) [i]
24Linear OOA(917, 30, F9, 2, 13) (dual of [(30, 2), 43, 14]-NRT-code) [i]
25Linear OOA(918, 30, F9, 2, 14) (dual of [(30, 2), 42, 15]-NRT-code) [i]
26Linear OOA(919, 30, F9, 2, 15) (dual of [(30, 2), 41, 16]-NRT-code) [i]
27Linear OOA(920, 30, F9, 2, 16) (dual of [(30, 2), 40, 17]-NRT-code) [i]
28Linear OOA(921, 30, F9, 2, 17) (dual of [(30, 2), 39, 18]-NRT-code) [i]
29Linear OOA(922, 30, F9, 2, 18) (dual of [(30, 2), 38, 19]-NRT-code) [i]
30Linear OOA(923, 30, F9, 2, 19) (dual of [(30, 2), 37, 20]-NRT-code) [i]
31Linear OOA(924, 30, F9, 2, 20) (dual of [(30, 2), 36, 21]-NRT-code) [i]
32Linear OOA(925, 30, F9, 2, 21) (dual of [(30, 2), 35, 22]-NRT-code) [i]
33Linear OOA(926, 30, F9, 2, 22) (dual of [(30, 2), 34, 23]-NRT-code) [i]
34Linear OOA(927, 30, F9, 2, 23) (dual of [(30, 2), 33, 24]-NRT-code) [i]
35Linear OOA(928, 30, F9, 2, 24) (dual of [(30, 2), 32, 25]-NRT-code) [i]
36Linear OOA(929, 30, F9, 2, 25) (dual of [(30, 2), 31, 26]-NRT-code) [i]
37Linear OOA(930, 30, F9, 2, 26) (dual of [(30, 2), 30, 27]-NRT-code) [i]
38Linear OOA(931, 30, F9, 2, 27) (dual of [(30, 2), 29, 28]-NRT-code) [i]
39Linear OOA(932, 30, F9, 2, 28) (dual of [(30, 2), 28, 29]-NRT-code) [i]
40Linear OOA(933, 30, F9, 2, 29) (dual of [(30, 2), 27, 30]-NRT-code) [i]
41Linear OOA(934, 30, F9, 2, 30) (dual of [(30, 2), 26, 31]-NRT-code) [i]
42Linear OOA(935, 30, F9, 2, 31) (dual of [(30, 2), 25, 32]-NRT-code) [i]
43Linear OOA(936, 30, F9, 2, 32) (dual of [(30, 2), 24, 33]-NRT-code) [i]
44Linear OOA(937, 30, F9, 2, 33) (dual of [(30, 2), 23, 34]-NRT-code) [i]
45Linear OOA(938, 30, F9, 2, 34) (dual of [(30, 2), 22, 35]-NRT-code) [i]
46Linear OOA(939, 30, F9, 2, 35) (dual of [(30, 2), 21, 36]-NRT-code) [i]
47Linear OOA(940, 30, F9, 2, 36) (dual of [(30, 2), 20, 37]-NRT-code) [i]
48Linear OOA(941, 30, F9, 2, 37) (dual of [(30, 2), 19, 38]-NRT-code) [i]
49Linear OOA(942, 30, F9, 2, 38) (dual of [(30, 2), 18, 39]-NRT-code) [i]
50Linear OOA(943, 30, F9, 2, 39) (dual of [(30, 2), 17, 40]-NRT-code) [i]
51Linear OOA(944, 30, F9, 2, 40) (dual of [(30, 2), 16, 41]-NRT-code) [i]
52Linear OOA(945, 30, F9, 2, 41) (dual of [(30, 2), 15, 42]-NRT-code) [i]
53Linear OOA(946, 30, F9, 2, 42) (dual of [(30, 2), 14, 43]-NRT-code) [i]
54Linear OOA(947, 30, F9, 2, 43) (dual of [(30, 2), 13, 44]-NRT-code) [i]
55Linear OOA(948, 30, F9, 2, 44) (dual of [(30, 2), 12, 45]-NRT-code) [i]
56Linear OOA(949, 30, F9, 2, 45) (dual of [(30, 2), 11, 46]-NRT-code) [i]
57Linear OOA(950, 30, F9, 2, 46) (dual of [(30, 2), 10, 47]-NRT-code) [i]
58Linear OOA(951, 30, F9, 2, 47) (dual of [(30, 2), 9, 48]-NRT-code) [i]
59Linear OOA(952, 30, F9, 2, 48) (dual of [(30, 2), 8, 49]-NRT-code) [i]
60Linear OOA(953, 30, F9, 2, 49) (dual of [(30, 2), 7, 50]-NRT-code) [i]
61Linear OOA(954, 30, F9, 2, 50) (dual of [(30, 2), 6, 51]-NRT-code) [i]
62Linear OOA(955, 30, F9, 2, 51) (dual of [(30, 2), 5, 52]-NRT-code) [i]
63Linear OOA(956, 30, F9, 2, 52) (dual of [(30, 2), 4, 53]-NRT-code) [i]
64Linear OOA(957, 30, F9, 2, 53) (dual of [(30, 2), 3, 54]-NRT-code) [i]
65Linear OOA(958, 30, F9, 2, 54) (dual of [(30, 2), 2, 55]-NRT-code) [i]
66Linear OOA(910, 30, F9, 3, 6) (dual of [(30, 3), 80, 7]-NRT-code) [i]
67Linear OOA(911, 30, F9, 3, 7) (dual of [(30, 3), 79, 8]-NRT-code) [i]
68Linear OOA(912, 30, F9, 3, 8) (dual of [(30, 3), 78, 9]-NRT-code) [i]
69Linear OOA(913, 30, F9, 3, 9) (dual of [(30, 3), 77, 10]-NRT-code) [i]
70Linear OOA(914, 30, F9, 3, 10) (dual of [(30, 3), 76, 11]-NRT-code) [i]
71Linear OOA(915, 30, F9, 3, 11) (dual of [(30, 3), 75, 12]-NRT-code) [i]
72Linear OOA(916, 30, F9, 3, 12) (dual of [(30, 3), 74, 13]-NRT-code) [i]
73Linear OOA(917, 30, F9, 3, 13) (dual of [(30, 3), 73, 14]-NRT-code) [i]
74Linear OOA(918, 30, F9, 3, 14) (dual of [(30, 3), 72, 15]-NRT-code) [i]
75Linear OOA(919, 30, F9, 3, 15) (dual of [(30, 3), 71, 16]-NRT-code) [i]
76Linear OOA(920, 30, F9, 3, 16) (dual of [(30, 3), 70, 17]-NRT-code) [i]
77Linear OOA(921, 30, F9, 3, 17) (dual of [(30, 3), 69, 18]-NRT-code) [i]
78Linear OOA(922, 30, F9, 3, 18) (dual of [(30, 3), 68, 19]-NRT-code) [i]
79Linear OOA(923, 30, F9, 3, 19) (dual of [(30, 3), 67, 20]-NRT-code) [i]
80Linear OOA(924, 30, F9, 3, 20) (dual of [(30, 3), 66, 21]-NRT-code) [i]
81Linear OOA(925, 30, F9, 3, 21) (dual of [(30, 3), 65, 22]-NRT-code) [i]
82Linear OOA(926, 30, F9, 3, 22) (dual of [(30, 3), 64, 23]-NRT-code) [i]
83Linear OOA(927, 30, F9, 3, 23) (dual of [(30, 3), 63, 24]-NRT-code) [i]
84Linear OOA(928, 30, F9, 3, 24) (dual of [(30, 3), 62, 25]-NRT-code) [i]
85Linear OOA(929, 30, F9, 3, 25) (dual of [(30, 3), 61, 26]-NRT-code) [i]
86Linear OOA(930, 30, F9, 3, 26) (dual of [(30, 3), 60, 27]-NRT-code) [i]
87Linear OOA(931, 30, F9, 3, 27) (dual of [(30, 3), 59, 28]-NRT-code) [i]
88Linear OOA(932, 30, F9, 3, 28) (dual of [(30, 3), 58, 29]-NRT-code) [i]
89Linear OOA(933, 30, F9, 3, 29) (dual of [(30, 3), 57, 30]-NRT-code) [i]
90Linear OOA(934, 30, F9, 3, 30) (dual of [(30, 3), 56, 31]-NRT-code) [i]
91Linear OOA(935, 30, F9, 3, 31) (dual of [(30, 3), 55, 32]-NRT-code) [i]
92Linear OOA(936, 30, F9, 3, 32) (dual of [(30, 3), 54, 33]-NRT-code) [i]
93Linear OOA(937, 30, F9, 3, 33) (dual of [(30, 3), 53, 34]-NRT-code) [i]
94Linear OOA(938, 30, F9, 3, 34) (dual of [(30, 3), 52, 35]-NRT-code) [i]
95Linear OOA(939, 30, F9, 3, 35) (dual of [(30, 3), 51, 36]-NRT-code) [i]
96Linear OOA(940, 30, F9, 3, 36) (dual of [(30, 3), 50, 37]-NRT-code) [i]
97Linear OOA(941, 30, F9, 3, 37) (dual of [(30, 3), 49, 38]-NRT-code) [i]
98Linear OOA(942, 30, F9, 3, 38) (dual of [(30, 3), 48, 39]-NRT-code) [i]
99Linear OOA(943, 30, F9, 3, 39) (dual of [(30, 3), 47, 40]-NRT-code) [i]
100Linear OOA(944, 30, F9, 3, 40) (dual of [(30, 3), 46, 41]-NRT-code) [i]
101Linear OOA(945, 30, F9, 3, 41) (dual of [(30, 3), 45, 42]-NRT-code) [i]
102Linear OOA(946, 30, F9, 3, 42) (dual of [(30, 3), 44, 43]-NRT-code) [i]
103Linear OOA(947, 30, F9, 3, 43) (dual of [(30, 3), 43, 44]-NRT-code) [i]
104Linear OOA(948, 30, F9, 3, 44) (dual of [(30, 3), 42, 45]-NRT-code) [i]
105Linear OOA(949, 30, F9, 3, 45) (dual of [(30, 3), 41, 46]-NRT-code) [i]
106Linear OOA(950, 30, F9, 3, 46) (dual of [(30, 3), 40, 47]-NRT-code) [i]
107Linear OOA(951, 30, F9, 3, 47) (dual of [(30, 3), 39, 48]-NRT-code) [i]
108Linear OOA(952, 30, F9, 3, 48) (dual of [(30, 3), 38, 49]-NRT-code) [i]
109Linear OOA(953, 30, F9, 3, 49) (dual of [(30, 3), 37, 50]-NRT-code) [i]
110Linear OOA(954, 30, F9, 3, 50) (dual of [(30, 3), 36, 51]-NRT-code) [i]
111Linear OOA(955, 30, F9, 3, 51) (dual of [(30, 3), 35, 52]-NRT-code) [i]
112Linear OOA(956, 30, F9, 3, 52) (dual of [(30, 3), 34, 53]-NRT-code) [i]
113Linear OOA(957, 30, F9, 3, 53) (dual of [(30, 3), 33, 54]-NRT-code) [i]
114Linear OOA(958, 30, F9, 3, 54) (dual of [(30, 3), 32, 55]-NRT-code) [i]
115Linear OOA(959, 30, F9, 3, 55) (dual of [(30, 3), 31, 56]-NRT-code) [i]
116Linear OOA(960, 30, F9, 3, 56) (dual of [(30, 3), 30, 57]-NRT-code) [i]
117Linear OOA(961, 30, F9, 3, 57) (dual of [(30, 3), 29, 58]-NRT-code) [i]
118Linear OOA(962, 30, F9, 3, 58) (dual of [(30, 3), 28, 59]-NRT-code) [i]
119Linear OOA(963, 30, F9, 3, 59) (dual of [(30, 3), 27, 60]-NRT-code) [i]
120Linear OOA(964, 30, F9, 3, 60) (dual of [(30, 3), 26, 61]-NRT-code) [i]
121Linear OOA(965, 30, F9, 3, 61) (dual of [(30, 3), 25, 62]-NRT-code) [i]
122Linear OOA(966, 30, F9, 3, 62) (dual of [(30, 3), 24, 63]-NRT-code) [i]
123Linear OOA(967, 30, F9, 3, 63) (dual of [(30, 3), 23, 64]-NRT-code) [i]
124Linear OOA(968, 30, F9, 3, 64) (dual of [(30, 3), 22, 65]-NRT-code) [i]
125Linear OOA(969, 30, F9, 3, 65) (dual of [(30, 3), 21, 66]-NRT-code) [i]
126Linear OOA(970, 30, F9, 3, 66) (dual of [(30, 3), 20, 67]-NRT-code) [i]
127Linear OOA(971, 30, F9, 3, 67) (dual of [(30, 3), 19, 68]-NRT-code) [i]
128Linear OOA(972, 30, F9, 3, 68) (dual of [(30, 3), 18, 69]-NRT-code) [i]
129Linear OOA(973, 30, F9, 3, 69) (dual of [(30, 3), 17, 70]-NRT-code) [i]
130Linear OOA(974, 30, F9, 3, 70) (dual of [(30, 3), 16, 71]-NRT-code) [i]
131Linear OOA(975, 30, F9, 3, 71) (dual of [(30, 3), 15, 72]-NRT-code) [i]
132Linear OOA(976, 30, F9, 3, 72) (dual of [(30, 3), 14, 73]-NRT-code) [i]
133Linear OOA(977, 30, F9, 3, 73) (dual of [(30, 3), 13, 74]-NRT-code) [i]
134Linear OOA(978, 30, F9, 3, 74) (dual of [(30, 3), 12, 75]-NRT-code) [i]
135Linear OOA(979, 30, F9, 3, 75) (dual of [(30, 3), 11, 76]-NRT-code) [i]
136Linear OOA(980, 30, F9, 3, 76) (dual of [(30, 3), 10, 77]-NRT-code) [i]
137Linear OOA(981, 30, F9, 3, 77) (dual of [(30, 3), 9, 78]-NRT-code) [i]
138Linear OOA(982, 30, F9, 3, 78) (dual of [(30, 3), 8, 79]-NRT-code) [i]
139Linear OOA(983, 30, F9, 3, 79) (dual of [(30, 3), 7, 80]-NRT-code) [i]
140Linear OOA(984, 30, F9, 3, 80) (dual of [(30, 3), 6, 81]-NRT-code) [i]
141Linear OOA(985, 30, F9, 3, 81) (dual of [(30, 3), 5, 82]-NRT-code) [i]
142Linear OOA(986, 30, F9, 3, 82) (dual of [(30, 3), 4, 83]-NRT-code) [i]
143Linear OOA(987, 30, F9, 3, 83) (dual of [(30, 3), 3, 84]-NRT-code) [i]
144Linear OOA(988, 30, F9, 3, 84) (dual of [(30, 3), 2, 85]-NRT-code) [i]
145Linear OA(928, 29, F9, 28) (dual of [29, 1, 29]-code or 29-arc in PG(27,9)) [i]Algebraic-Geometric Codes
146Linear OA(922, 29, F9, 18) (dual of [29, 7, 19]-code) [i]
147Linear OA(921, 29, F9, 17) (dual of [29, 8, 18]-code) [i]