Information on Result #600207

Function Field F/F5 with g(F) = 11 and N(F) ≥ 32, using an explicitly constructive algebraic function field

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 (11, 31)-sequence over F5 [i]Niederreiter–Xing Sequence Construction II/III
2Digital (12, 32)-sequence over F5 [i]✔Niederreiter–Xing Sequence Construction III Using Non-Rational Places
3Digital (13, 33)-sequence over F5 [i]✔
4Digital (14, 34)-sequence over F5 [i]✔
5Digital (15, 35)-sequence over F5 [i]✔
6Digital (16, 36)-sequence over F5 [i]✔
7Linear OOA(520, 32, F5, 2, 9) (dual of [(32, 2), 44, 10]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
8Linear OOA(521, 32, F5, 2, 10) (dual of [(32, 2), 43, 11]-NRT-code) [i]
9Linear OOA(522, 32, F5, 2, 11) (dual of [(32, 2), 42, 12]-NRT-code) [i]
10Linear OOA(523, 32, F5, 2, 12) (dual of [(32, 2), 41, 13]-NRT-code) [i]
11Linear OOA(524, 32, F5, 2, 13) (dual of [(32, 2), 40, 14]-NRT-code) [i]
12Linear OOA(525, 32, F5, 2, 14) (dual of [(32, 2), 39, 15]-NRT-code) [i]
13Linear OOA(526, 32, F5, 2, 15) (dual of [(32, 2), 38, 16]-NRT-code) [i]
14Linear OOA(527, 32, F5, 2, 16) (dual of [(32, 2), 37, 17]-NRT-code) [i]
15Linear OOA(528, 32, F5, 2, 17) (dual of [(32, 2), 36, 18]-NRT-code) [i]
16Linear OOA(529, 32, F5, 2, 18) (dual of [(32, 2), 35, 19]-NRT-code) [i]
17Linear OOA(530, 32, F5, 2, 19) (dual of [(32, 2), 34, 20]-NRT-code) [i]
18Linear OOA(531, 32, F5, 2, 20) (dual of [(32, 2), 33, 21]-NRT-code) [i]
19Linear OOA(532, 32, F5, 2, 21) (dual of [(32, 2), 32, 22]-NRT-code) [i]
20Linear OOA(533, 32, F5, 2, 22) (dual of [(32, 2), 31, 23]-NRT-code) [i]
21Linear OOA(534, 32, F5, 2, 23) (dual of [(32, 2), 30, 24]-NRT-code) [i]
22Linear OOA(535, 32, F5, 2, 24) (dual of [(32, 2), 29, 25]-NRT-code) [i]
23Linear OOA(536, 32, F5, 2, 25) (dual of [(32, 2), 28, 26]-NRT-code) [i]
24Linear OOA(537, 32, F5, 2, 26) (dual of [(32, 2), 27, 27]-NRT-code) [i]
25Linear OOA(538, 32, F5, 2, 27) (dual of [(32, 2), 26, 28]-NRT-code) [i]
26Linear OOA(539, 32, F5, 2, 28) (dual of [(32, 2), 25, 29]-NRT-code) [i]
27Linear OOA(540, 32, F5, 2, 29) (dual of [(32, 2), 24, 30]-NRT-code) [i]
28Linear OOA(541, 32, F5, 2, 30) (dual of [(32, 2), 23, 31]-NRT-code) [i]
29Linear OOA(542, 32, F5, 2, 31) (dual of [(32, 2), 22, 32]-NRT-code) [i]
30Linear OOA(543, 32, F5, 2, 32) (dual of [(32, 2), 21, 33]-NRT-code) [i]
31Linear OOA(544, 32, F5, 2, 33) (dual of [(32, 2), 20, 34]-NRT-code) [i]
32Linear OOA(545, 32, F5, 2, 34) (dual of [(32, 2), 19, 35]-NRT-code) [i]
33Linear OOA(546, 32, F5, 2, 35) (dual of [(32, 2), 18, 36]-NRT-code) [i]
34Linear OOA(547, 32, F5, 2, 36) (dual of [(32, 2), 17, 37]-NRT-code) [i]
35Linear OOA(548, 32, F5, 2, 37) (dual of [(32, 2), 16, 38]-NRT-code) [i]
36Linear OOA(549, 32, F5, 2, 38) (dual of [(32, 2), 15, 39]-NRT-code) [i]
37Linear OOA(550, 32, F5, 2, 39) (dual of [(32, 2), 14, 40]-NRT-code) [i]
38Linear OOA(551, 32, F5, 2, 40) (dual of [(32, 2), 13, 41]-NRT-code) [i]
39Linear OOA(552, 32, F5, 2, 41) (dual of [(32, 2), 12, 42]-NRT-code) [i]
40Linear OOA(553, 32, F5, 2, 42) (dual of [(32, 2), 11, 43]-NRT-code) [i]
41Linear OOA(554, 32, F5, 2, 43) (dual of [(32, 2), 10, 44]-NRT-code) [i]
42Linear OOA(555, 32, F5, 2, 44) (dual of [(32, 2), 9, 45]-NRT-code) [i]
43Linear OOA(556, 32, F5, 2, 45) (dual of [(32, 2), 8, 46]-NRT-code) [i]
44Linear OOA(557, 32, F5, 2, 46) (dual of [(32, 2), 7, 47]-NRT-code) [i]
45Linear OOA(558, 32, F5, 2, 47) (dual of [(32, 2), 6, 48]-NRT-code) [i]
46Linear OOA(559, 32, F5, 2, 48) (dual of [(32, 2), 5, 49]-NRT-code) [i]
47Linear OOA(561, 32, F5, 2, 50) (dual of [(32, 2), 3, 51]-NRT-code) [i]
48Linear OOA(520, 32, F5, 3, 9) (dual of [(32, 3), 76, 10]-NRT-code) [i]
49Linear OOA(521, 32, F5, 3, 10) (dual of [(32, 3), 75, 11]-NRT-code) [i]
50Linear OOA(522, 32, F5, 3, 11) (dual of [(32, 3), 74, 12]-NRT-code) [i]
51Linear OOA(523, 32, F5, 3, 12) (dual of [(32, 3), 73, 13]-NRT-code) [i]
52Linear OOA(524, 32, F5, 3, 13) (dual of [(32, 3), 72, 14]-NRT-code) [i]
53Linear OOA(525, 32, F5, 3, 14) (dual of [(32, 3), 71, 15]-NRT-code) [i]
54Linear OOA(526, 32, F5, 3, 15) (dual of [(32, 3), 70, 16]-NRT-code) [i]
55Linear OOA(527, 32, F5, 3, 16) (dual of [(32, 3), 69, 17]-NRT-code) [i]
56Linear OOA(528, 32, F5, 3, 17) (dual of [(32, 3), 68, 18]-NRT-code) [i]
57Linear OOA(529, 32, F5, 3, 18) (dual of [(32, 3), 67, 19]-NRT-code) [i]
58Linear OOA(530, 32, F5, 3, 19) (dual of [(32, 3), 66, 20]-NRT-code) [i]
59Linear OOA(531, 32, F5, 3, 20) (dual of [(32, 3), 65, 21]-NRT-code) [i]
60Linear OOA(532, 32, F5, 3, 21) (dual of [(32, 3), 64, 22]-NRT-code) [i]
61Linear OOA(533, 32, F5, 3, 22) (dual of [(32, 3), 63, 23]-NRT-code) [i]
62Linear OOA(534, 32, F5, 3, 23) (dual of [(32, 3), 62, 24]-NRT-code) [i]
63Linear OOA(535, 32, F5, 3, 24) (dual of [(32, 3), 61, 25]-NRT-code) [i]
64Linear OOA(536, 32, F5, 3, 25) (dual of [(32, 3), 60, 26]-NRT-code) [i]
65Linear OOA(537, 32, F5, 3, 26) (dual of [(32, 3), 59, 27]-NRT-code) [i]
66Linear OOA(538, 32, F5, 3, 27) (dual of [(32, 3), 58, 28]-NRT-code) [i]
67Linear OOA(539, 32, F5, 3, 28) (dual of [(32, 3), 57, 29]-NRT-code) [i]
68Linear OOA(540, 32, F5, 3, 29) (dual of [(32, 3), 56, 30]-NRT-code) [i]
69Linear OOA(541, 32, F5, 3, 30) (dual of [(32, 3), 55, 31]-NRT-code) [i]
70Linear OOA(542, 32, F5, 3, 31) (dual of [(32, 3), 54, 32]-NRT-code) [i]
71Linear OOA(543, 32, F5, 3, 32) (dual of [(32, 3), 53, 33]-NRT-code) [i]
72Linear OOA(544, 32, F5, 3, 33) (dual of [(32, 3), 52, 34]-NRT-code) [i]
73Linear OOA(545, 32, F5, 3, 34) (dual of [(32, 3), 51, 35]-NRT-code) [i]
74Linear OOA(546, 32, F5, 3, 35) (dual of [(32, 3), 50, 36]-NRT-code) [i]
75Linear OOA(547, 32, F5, 3, 36) (dual of [(32, 3), 49, 37]-NRT-code) [i]
76Linear OOA(548, 32, F5, 3, 37) (dual of [(32, 3), 48, 38]-NRT-code) [i]
77Linear OOA(549, 32, F5, 3, 38) (dual of [(32, 3), 47, 39]-NRT-code) [i]
78Linear OOA(550, 32, F5, 3, 39) (dual of [(32, 3), 46, 40]-NRT-code) [i]
79Linear OOA(551, 32, F5, 3, 40) (dual of [(32, 3), 45, 41]-NRT-code) [i]
80Linear OOA(552, 32, F5, 3, 41) (dual of [(32, 3), 44, 42]-NRT-code) [i]
81Linear OOA(553, 32, F5, 3, 42) (dual of [(32, 3), 43, 43]-NRT-code) [i]
82Linear OOA(554, 32, F5, 3, 43) (dual of [(32, 3), 42, 44]-NRT-code) [i]
83Linear OOA(555, 32, F5, 3, 44) (dual of [(32, 3), 41, 45]-NRT-code) [i]
84Linear OOA(556, 32, F5, 3, 45) (dual of [(32, 3), 40, 46]-NRT-code) [i]
85Linear OOA(557, 32, F5, 3, 46) (dual of [(32, 3), 39, 47]-NRT-code) [i]
86Linear OOA(558, 32, F5, 3, 47) (dual of [(32, 3), 38, 48]-NRT-code) [i]
87Linear OOA(559, 32, F5, 3, 48) (dual of [(32, 3), 37, 49]-NRT-code) [i]
88Linear OOA(560, 32, F5, 3, 49) (dual of [(32, 3), 36, 50]-NRT-code) [i]
89Linear OOA(561, 32, F5, 3, 50) (dual of [(32, 3), 35, 51]-NRT-code) [i]
90Linear OOA(562, 32, F5, 3, 51) (dual of [(32, 3), 34, 52]-NRT-code) [i]
91Linear OOA(563, 32, F5, 3, 52) (dual of [(32, 3), 33, 53]-NRT-code) [i]
92Linear OOA(564, 32, F5, 3, 53) (dual of [(32, 3), 32, 54]-NRT-code) [i]
93Linear OOA(565, 32, F5, 3, 54) (dual of [(32, 3), 31, 55]-NRT-code) [i]
94Linear OOA(566, 32, F5, 3, 55) (dual of [(32, 3), 30, 56]-NRT-code) [i]
95Linear OOA(567, 32, F5, 3, 56) (dual of [(32, 3), 29, 57]-NRT-code) [i]
96Linear OOA(568, 32, F5, 3, 57) (dual of [(32, 3), 28, 58]-NRT-code) [i]
97Linear OOA(569, 32, F5, 3, 58) (dual of [(32, 3), 27, 59]-NRT-code) [i]
98Linear OOA(570, 32, F5, 3, 59) (dual of [(32, 3), 26, 60]-NRT-code) [i]
99Linear OOA(571, 32, F5, 3, 60) (dual of [(32, 3), 25, 61]-NRT-code) [i]
100Linear OOA(572, 32, F5, 3, 61) (dual of [(32, 3), 24, 62]-NRT-code) [i]
101Linear OOA(573, 32, F5, 3, 62) (dual of [(32, 3), 23, 63]-NRT-code) [i]
102Linear OOA(574, 32, F5, 3, 63) (dual of [(32, 3), 22, 64]-NRT-code) [i]
103Linear OOA(575, 32, F5, 3, 64) (dual of [(32, 3), 21, 65]-NRT-code) [i]
104Linear OOA(576, 32, F5, 3, 65) (dual of [(32, 3), 20, 66]-NRT-code) [i]
105Linear OOA(577, 32, F5, 3, 66) (dual of [(32, 3), 19, 67]-NRT-code) [i]
106Linear OOA(578, 32, F5, 3, 67) (dual of [(32, 3), 18, 68]-NRT-code) [i]
107Linear OOA(579, 32, F5, 3, 68) (dual of [(32, 3), 17, 69]-NRT-code) [i]
108Linear OOA(580, 32, F5, 3, 69) (dual of [(32, 3), 16, 70]-NRT-code) [i]
109Linear OOA(581, 32, F5, 3, 70) (dual of [(32, 3), 15, 71]-NRT-code) [i]
110Linear OOA(582, 32, F5, 3, 71) (dual of [(32, 3), 14, 72]-NRT-code) [i]
111Linear OOA(583, 32, F5, 3, 72) (dual of [(32, 3), 13, 73]-NRT-code) [i]
112Linear OOA(584, 32, F5, 3, 73) (dual of [(32, 3), 12, 74]-NRT-code) [i]
113Linear OOA(585, 32, F5, 3, 74) (dual of [(32, 3), 11, 75]-NRT-code) [i]
114Linear OOA(586, 32, F5, 3, 75) (dual of [(32, 3), 10, 76]-NRT-code) [i]
115Linear OOA(587, 32, F5, 3, 76) (dual of [(32, 3), 9, 77]-NRT-code) [i]
116Linear OOA(588, 32, F5, 3, 77) (dual of [(32, 3), 8, 78]-NRT-code) [i]
117Linear OOA(589, 32, F5, 3, 78) (dual of [(32, 3), 7, 79]-NRT-code) [i]
118Linear OOA(590, 32, F5, 3, 79) (dual of [(32, 3), 6, 80]-NRT-code) [i]
119Linear OOA(591, 32, F5, 3, 80) (dual of [(32, 3), 5, 81]-NRT-code) [i]
120Linear OOA(592, 32, F5, 3, 81) (dual of [(32, 3), 4, 82]-NRT-code) [i]
121Linear OOA(593, 32, F5, 3, 82) (dual of [(32, 3), 3, 83]-NRT-code) [i]
122Linear OOA(594, 32, F5, 3, 83) (dual of [(32, 3), 2, 84]-NRT-code) [i]
123Linear OOA(561, 31, F5, 2, 61) (dual of [(31, 2), 1, 62]-NRT-code) [i]Algebraic-Geometric NRT-Codes
124Linear OOA(553, 31, F5, 2, 42) (dual of [(31, 2), 9, 43]-NRT-code) [i]
125Linear OOA(563, 32, F5, 2, 63) (dual of [(32, 2), 1, 64]-NRT-code) [i]✔Algebraic-Geometric NRT-Codes Defined Using a Non-Rational Place
126Linear OOA(558, 32, F5, 2, 47) (dual of [(32, 2), 6, 48]-NRT-code) [i]✔
127Linear OOA(556, 32, F5, 2, 45) (dual of [(32, 2), 8, 46]-NRT-code) [i]✔