Information on Result #600140

Function Field F/F2 with g(F) = 1 and N(F) ≥ 5, 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 (1, 4)-sequence over F2 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
3Linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code) [i]
4Linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code) [i]
5Linear OOA(28, 5, F2, 2, 7) (dual of [(5, 2), 2, 8]-NRT-code) [i]
6Linear OOA(25, 5, F2, 3, 4) (dual of [(5, 3), 10, 5]-NRT-code) [i]
7Linear OOA(26, 5, F2, 3, 5) (dual of [(5, 3), 9, 6]-NRT-code) [i]
8Linear OOA(27, 5, F2, 3, 6) (dual of [(5, 3), 8, 7]-NRT-code) [i]
9Linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code) [i]
10Linear OOA(29, 5, F2, 3, 8) (dual of [(5, 3), 6, 9]-NRT-code) [i]
11Linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code) [i]
12Linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code) [i]
13Linear OOA(212, 5, F2, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code) [i]
14Linear OOA(213, 5, F2, 3, 12) (dual of [(5, 3), 2, 13]-NRT-code) [i]
15Linear OOA(26, 5, F2, 4, 5) (dual of [(5, 4), 14, 6]-NRT-code) [i]
16Linear OOA(27, 5, F2, 4, 6) (dual of [(5, 4), 13, 7]-NRT-code) [i]
17Linear OOA(28, 5, F2, 4, 7) (dual of [(5, 4), 12, 8]-NRT-code) [i]
18Linear OOA(29, 5, F2, 4, 8) (dual of [(5, 4), 11, 9]-NRT-code) [i]
19Linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code) [i]
20Linear OOA(211, 5, F2, 4, 10) (dual of [(5, 4), 9, 11]-NRT-code) [i]
21Linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code) [i]
22Linear OOA(213, 5, F2, 4, 12) (dual of [(5, 4), 7, 13]-NRT-code) [i]
23Linear OOA(214, 5, F2, 4, 13) (dual of [(5, 4), 6, 14]-NRT-code) [i]
24Linear OOA(215, 5, F2, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code) [i]
25Linear OOA(216, 5, F2, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code) [i]
26Linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code) [i]
27Linear OOA(218, 5, F2, 4, 17) (dual of [(5, 4), 2, 18]-NRT-code) [i]
28Linear OOA(27, 5, F2, 5, 6) (dual of [(5, 5), 18, 7]-NRT-code) [i]
29Linear OOA(28, 5, F2, 5, 7) (dual of [(5, 5), 17, 8]-NRT-code) [i]
30Linear OOA(29, 5, F2, 5, 8) (dual of [(5, 5), 16, 9]-NRT-code) [i]
31Linear OOA(210, 5, F2, 5, 9) (dual of [(5, 5), 15, 10]-NRT-code) [i]
32Linear OOA(211, 5, F2, 5, 10) (dual of [(5, 5), 14, 11]-NRT-code) [i]
33Linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code) [i]
34Linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code) [i]
35Linear OOA(214, 5, F2, 5, 13) (dual of [(5, 5), 11, 14]-NRT-code) [i]
36Linear OOA(215, 5, F2, 5, 14) (dual of [(5, 5), 10, 15]-NRT-code) [i]
37Linear OOA(216, 5, F2, 5, 15) (dual of [(5, 5), 9, 16]-NRT-code) [i]
38Linear OOA(217, 5, F2, 5, 16) (dual of [(5, 5), 8, 17]-NRT-code) [i]
39Linear OOA(218, 5, F2, 5, 17) (dual of [(5, 5), 7, 18]-NRT-code) [i]
40Linear OOA(219, 5, F2, 5, 18) (dual of [(5, 5), 6, 19]-NRT-code) [i]
41Linear OOA(220, 5, F2, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code) [i]
42Linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) [i]
43Linear OOA(222, 5, F2, 5, 21) (dual of [(5, 5), 3, 22]-NRT-code) [i]
44Linear OOA(223, 5, F2, 5, 22) (dual of [(5, 5), 2, 23]-NRT-code) [i]
45Linear OOA(28, 5, F2, 6, 7) (dual of [(5, 6), 22, 8]-NRT-code) [i]
46Linear OOA(29, 5, F2, 6, 8) (dual of [(5, 6), 21, 9]-NRT-code) [i]
47Linear OOA(210, 5, F2, 6, 9) (dual of [(5, 6), 20, 10]-NRT-code) [i]
48Linear OOA(211, 5, F2, 6, 10) (dual of [(5, 6), 19, 11]-NRT-code) [i]
49Linear OOA(212, 5, F2, 6, 11) (dual of [(5, 6), 18, 12]-NRT-code) [i]
50Linear OOA(213, 5, F2, 6, 12) (dual of [(5, 6), 17, 13]-NRT-code) [i]
51Linear OOA(214, 5, F2, 6, 13) (dual of [(5, 6), 16, 14]-NRT-code) [i]
52Linear OOA(215, 5, F2, 6, 14) (dual of [(5, 6), 15, 15]-NRT-code) [i]
53Linear OOA(216, 5, F2, 6, 15) (dual of [(5, 6), 14, 16]-NRT-code) [i]
54Linear OOA(217, 5, F2, 6, 16) (dual of [(5, 6), 13, 17]-NRT-code) [i]
55Linear OOA(218, 5, F2, 6, 17) (dual of [(5, 6), 12, 18]-NRT-code) [i]
56Linear OOA(219, 5, F2, 6, 18) (dual of [(5, 6), 11, 19]-NRT-code) [i]
57Linear OOA(220, 5, F2, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code) [i]
58Linear OOA(221, 5, F2, 6, 20) (dual of [(5, 6), 9, 21]-NRT-code) [i]
59Linear OOA(222, 5, F2, 6, 21) (dual of [(5, 6), 8, 22]-NRT-code) [i]
60Linear OOA(223, 5, F2, 6, 22) (dual of [(5, 6), 7, 23]-NRT-code) [i]
61Linear OOA(224, 5, F2, 6, 23) (dual of [(5, 6), 6, 24]-NRT-code) [i]
62Linear OOA(225, 5, F2, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code) [i]
63Linear OOA(226, 5, F2, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code) [i]
64Linear OOA(227, 5, F2, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code) [i]
65Linear OOA(228, 5, F2, 6, 27) (dual of [(5, 6), 2, 28]-NRT-code) [i]
66Linear OOA(29, 5, F2, 7, 8) (dual of [(5, 7), 26, 9]-NRT-code) [i]
67Linear OOA(210, 5, F2, 7, 9) (dual of [(5, 7), 25, 10]-NRT-code) [i]
68Linear OOA(211, 5, F2, 7, 10) (dual of [(5, 7), 24, 11]-NRT-code) [i]
69Linear OOA(212, 5, F2, 7, 11) (dual of [(5, 7), 23, 12]-NRT-code) [i]
70Linear OOA(213, 5, F2, 7, 12) (dual of [(5, 7), 22, 13]-NRT-code) [i]
71Linear OOA(214, 5, F2, 7, 13) (dual of [(5, 7), 21, 14]-NRT-code) [i]
72Linear OOA(215, 5, F2, 7, 14) (dual of [(5, 7), 20, 15]-NRT-code) [i]
73Linear OOA(216, 5, F2, 7, 15) (dual of [(5, 7), 19, 16]-NRT-code) [i]
74Linear OOA(217, 5, F2, 7, 16) (dual of [(5, 7), 18, 17]-NRT-code) [i]
75Linear OOA(218, 5, F2, 7, 17) (dual of [(5, 7), 17, 18]-NRT-code) [i]
76Linear OOA(219, 5, F2, 7, 18) (dual of [(5, 7), 16, 19]-NRT-code) [i]
77Linear OOA(220, 5, F2, 7, 19) (dual of [(5, 7), 15, 20]-NRT-code) [i]
78Linear OOA(221, 5, F2, 7, 20) (dual of [(5, 7), 14, 21]-NRT-code) [i]
79Linear OOA(222, 5, F2, 7, 21) (dual of [(5, 7), 13, 22]-NRT-code) [i]
80Linear OOA(223, 5, F2, 7, 22) (dual of [(5, 7), 12, 23]-NRT-code) [i]
81Linear OOA(224, 5, F2, 7, 23) (dual of [(5, 7), 11, 24]-NRT-code) [i]
82Linear OOA(225, 5, F2, 7, 24) (dual of [(5, 7), 10, 25]-NRT-code) [i]
83Linear OOA(226, 5, F2, 7, 25) (dual of [(5, 7), 9, 26]-NRT-code) [i]
84Linear OOA(227, 5, F2, 7, 26) (dual of [(5, 7), 8, 27]-NRT-code) [i]
85Linear OOA(228, 5, F2, 7, 27) (dual of [(5, 7), 7, 28]-NRT-code) [i]
86Linear OOA(229, 5, F2, 7, 28) (dual of [(5, 7), 6, 29]-NRT-code) [i]
87Linear OOA(230, 5, F2, 7, 29) (dual of [(5, 7), 5, 30]-NRT-code) [i]
88Linear OOA(231, 5, F2, 7, 30) (dual of [(5, 7), 4, 31]-NRT-code) [i]
89Linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code) [i]
90Linear OOA(233, 5, F2, 7, 32) (dual of [(5, 7), 2, 33]-NRT-code) [i]
91Linear OOA(210, 5, F2, 8, 9) (dual of [(5, 8), 30, 10]-NRT-code) [i]
92Linear OOA(211, 5, F2, 8, 10) (dual of [(5, 8), 29, 11]-NRT-code) [i]
93Linear OOA(212, 5, F2, 8, 11) (dual of [(5, 8), 28, 12]-NRT-code) [i]
94Linear OOA(213, 5, F2, 8, 12) (dual of [(5, 8), 27, 13]-NRT-code) [i]
95Linear OOA(214, 5, F2, 8, 13) (dual of [(5, 8), 26, 14]-NRT-code) [i]
96Linear OOA(215, 5, F2, 8, 14) (dual of [(5, 8), 25, 15]-NRT-code) [i]
97Linear OOA(216, 5, F2, 8, 15) (dual of [(5, 8), 24, 16]-NRT-code) [i]
98Linear OOA(217, 5, F2, 8, 16) (dual of [(5, 8), 23, 17]-NRT-code) [i]
99Linear OOA(218, 5, F2, 8, 17) (dual of [(5, 8), 22, 18]-NRT-code) [i]
100Linear OOA(219, 5, F2, 8, 18) (dual of [(5, 8), 21, 19]-NRT-code) [i]
101Linear OOA(220, 5, F2, 8, 19) (dual of [(5, 8), 20, 20]-NRT-code) [i]
102Linear OOA(221, 5, F2, 8, 20) (dual of [(5, 8), 19, 21]-NRT-code) [i]
103Linear OOA(222, 5, F2, 8, 21) (dual of [(5, 8), 18, 22]-NRT-code) [i]
104Linear OOA(223, 5, F2, 8, 22) (dual of [(5, 8), 17, 23]-NRT-code) [i]
105Linear OOA(224, 5, F2, 8, 23) (dual of [(5, 8), 16, 24]-NRT-code) [i]
106Linear OOA(225, 5, F2, 8, 24) (dual of [(5, 8), 15, 25]-NRT-code) [i]
107Linear OOA(226, 5, F2, 8, 25) (dual of [(5, 8), 14, 26]-NRT-code) [i]
108Linear OOA(227, 5, F2, 8, 26) (dual of [(5, 8), 13, 27]-NRT-code) [i]
109Linear OOA(228, 5, F2, 8, 27) (dual of [(5, 8), 12, 28]-NRT-code) [i]
110Linear OOA(229, 5, F2, 8, 28) (dual of [(5, 8), 11, 29]-NRT-code) [i]
111Linear OOA(230, 5, F2, 8, 29) (dual of [(5, 8), 10, 30]-NRT-code) [i]
112Linear OOA(231, 5, F2, 8, 30) (dual of [(5, 8), 9, 31]-NRT-code) [i]
113Linear OOA(232, 5, F2, 8, 31) (dual of [(5, 8), 8, 32]-NRT-code) [i]
114Linear OOA(233, 5, F2, 8, 32) (dual of [(5, 8), 7, 33]-NRT-code) [i]
115Linear OOA(234, 5, F2, 8, 33) (dual of [(5, 8), 6, 34]-NRT-code) [i]
116Linear OOA(235, 5, F2, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code) [i]
117Linear OOA(236, 5, F2, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) [i]
118Linear OOA(237, 5, F2, 8, 36) (dual of [(5, 8), 3, 37]-NRT-code) [i]
119Linear OOA(238, 5, F2, 8, 37) (dual of [(5, 8), 2, 38]-NRT-code) [i]