Information on Result #600163

Function Field F/F3 with g(F) = 2 and N(F) ≥ 8, 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 (2, 7)-sequence over F3 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OOA(36, 8, F3, 2, 4) (dual of [(8, 2), 10, 5]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
3Linear OOA(37, 8, F3, 2, 5) (dual of [(8, 2), 9, 6]-NRT-code) [i]
4Linear OOA(38, 8, F3, 2, 6) (dual of [(8, 2), 8, 7]-NRT-code) [i]
5Linear OOA(39, 8, F3, 2, 7) (dual of [(8, 2), 7, 8]-NRT-code) [i]
6Linear OOA(310, 8, F3, 2, 8) (dual of [(8, 2), 6, 9]-NRT-code) [i]
7Linear OOA(311, 8, F3, 2, 9) (dual of [(8, 2), 5, 10]-NRT-code) [i]
8Linear OOA(312, 8, F3, 2, 10) (dual of [(8, 2), 4, 11]-NRT-code) [i]
9Linear OOA(313, 8, F3, 2, 11) (dual of [(8, 2), 3, 12]-NRT-code) [i]
10Linear OOA(314, 8, F3, 2, 12) (dual of [(8, 2), 2, 13]-NRT-code) [i]
11Linear OOA(38, 8, F3, 3, 6) (dual of [(8, 3), 16, 7]-NRT-code) [i]
12Linear OOA(39, 8, F3, 3, 7) (dual of [(8, 3), 15, 8]-NRT-code) [i]
13Linear OOA(310, 8, F3, 3, 8) (dual of [(8, 3), 14, 9]-NRT-code) [i]
14Linear OOA(311, 8, F3, 3, 9) (dual of [(8, 3), 13, 10]-NRT-code) [i]
15Linear OOA(312, 8, F3, 3, 10) (dual of [(8, 3), 12, 11]-NRT-code) [i]
16Linear OOA(313, 8, F3, 3, 11) (dual of [(8, 3), 11, 12]-NRT-code) [i]
17Linear OOA(314, 8, F3, 3, 12) (dual of [(8, 3), 10, 13]-NRT-code) [i]
18Linear OOA(315, 8, F3, 3, 13) (dual of [(8, 3), 9, 14]-NRT-code) [i]
19Linear OOA(316, 8, F3, 3, 14) (dual of [(8, 3), 8, 15]-NRT-code) [i]
20Linear OOA(317, 8, F3, 3, 15) (dual of [(8, 3), 7, 16]-NRT-code) [i]
21Linear OOA(318, 8, F3, 3, 16) (dual of [(8, 3), 6, 17]-NRT-code) [i]
22Linear OOA(319, 8, F3, 3, 17) (dual of [(8, 3), 5, 18]-NRT-code) [i]
23Linear OOA(320, 8, F3, 3, 18) (dual of [(8, 3), 4, 19]-NRT-code) [i]
24Linear OOA(321, 8, F3, 3, 19) (dual of [(8, 3), 3, 20]-NRT-code) [i]
25Linear OOA(322, 8, F3, 3, 20) (dual of [(8, 3), 2, 21]-NRT-code) [i]
26Linear OOA(310, 8, F3, 4, 8) (dual of [(8, 4), 22, 9]-NRT-code) [i]
27Linear OOA(311, 8, F3, 4, 9) (dual of [(8, 4), 21, 10]-NRT-code) [i]
28Linear OOA(312, 8, F3, 4, 10) (dual of [(8, 4), 20, 11]-NRT-code) [i]
29Linear OOA(313, 8, F3, 4, 11) (dual of [(8, 4), 19, 12]-NRT-code) [i]
30Linear OOA(314, 8, F3, 4, 12) (dual of [(8, 4), 18, 13]-NRT-code) [i]
31Linear OOA(315, 8, F3, 4, 13) (dual of [(8, 4), 17, 14]-NRT-code) [i]
32Linear OOA(316, 8, F3, 4, 14) (dual of [(8, 4), 16, 15]-NRT-code) [i]
33Linear OOA(317, 8, F3, 4, 15) (dual of [(8, 4), 15, 16]-NRT-code) [i]
34Linear OOA(318, 8, F3, 4, 16) (dual of [(8, 4), 14, 17]-NRT-code) [i]
35Linear OOA(319, 8, F3, 4, 17) (dual of [(8, 4), 13, 18]-NRT-code) [i]
36Linear OOA(320, 8, F3, 4, 18) (dual of [(8, 4), 12, 19]-NRT-code) [i]
37Linear OOA(321, 8, F3, 4, 19) (dual of [(8, 4), 11, 20]-NRT-code) [i]
38Linear OOA(322, 8, F3, 4, 20) (dual of [(8, 4), 10, 21]-NRT-code) [i]
39Linear OOA(323, 8, F3, 4, 21) (dual of [(8, 4), 9, 22]-NRT-code) [i]
40Linear OOA(324, 8, F3, 4, 22) (dual of [(8, 4), 8, 23]-NRT-code) [i]
41Linear OOA(325, 8, F3, 4, 23) (dual of [(8, 4), 7, 24]-NRT-code) [i]
42Linear OOA(326, 8, F3, 4, 24) (dual of [(8, 4), 6, 25]-NRT-code) [i]
43Linear OOA(327, 8, F3, 4, 25) (dual of [(8, 4), 5, 26]-NRT-code) [i]
44Linear OOA(328, 8, F3, 4, 26) (dual of [(8, 4), 4, 27]-NRT-code) [i]
45Linear OOA(329, 8, F3, 4, 27) (dual of [(8, 4), 3, 28]-NRT-code) [i]
46Linear OOA(330, 8, F3, 4, 28) (dual of [(8, 4), 2, 29]-NRT-code) [i]
47Linear OOA(310, 8, F3, 5, 8) (dual of [(8, 5), 30, 9]-NRT-code) [i]
48Linear OOA(311, 8, F3, 5, 9) (dual of [(8, 5), 29, 10]-NRT-code) [i]
49Linear OOA(312, 8, F3, 5, 10) (dual of [(8, 5), 28, 11]-NRT-code) [i]
50Linear OOA(313, 8, F3, 5, 11) (dual of [(8, 5), 27, 12]-NRT-code) [i]
51Linear OOA(314, 8, F3, 5, 12) (dual of [(8, 5), 26, 13]-NRT-code) [i]
52Linear OOA(315, 8, F3, 5, 13) (dual of [(8, 5), 25, 14]-NRT-code) [i]
53Linear OOA(316, 8, F3, 5, 14) (dual of [(8, 5), 24, 15]-NRT-code) [i]
54Linear OOA(317, 8, F3, 5, 15) (dual of [(8, 5), 23, 16]-NRT-code) [i]
55Linear OOA(318, 8, F3, 5, 16) (dual of [(8, 5), 22, 17]-NRT-code) [i]
56Linear OOA(319, 8, F3, 5, 17) (dual of [(8, 5), 21, 18]-NRT-code) [i]
57Linear OOA(320, 8, F3, 5, 18) (dual of [(8, 5), 20, 19]-NRT-code) [i]
58Linear OOA(321, 8, F3, 5, 19) (dual of [(8, 5), 19, 20]-NRT-code) [i]
59Linear OOA(322, 8, F3, 5, 20) (dual of [(8, 5), 18, 21]-NRT-code) [i]
60Linear OOA(323, 8, F3, 5, 21) (dual of [(8, 5), 17, 22]-NRT-code) [i]
61Linear OOA(324, 8, F3, 5, 22) (dual of [(8, 5), 16, 23]-NRT-code) [i]
62Linear OOA(325, 8, F3, 5, 23) (dual of [(8, 5), 15, 24]-NRT-code) [i]
63Linear OOA(326, 8, F3, 5, 24) (dual of [(8, 5), 14, 25]-NRT-code) [i]
64Linear OOA(327, 8, F3, 5, 25) (dual of [(8, 5), 13, 26]-NRT-code) [i]
65Linear OOA(328, 8, F3, 5, 26) (dual of [(8, 5), 12, 27]-NRT-code) [i]
66Linear OOA(329, 8, F3, 5, 27) (dual of [(8, 5), 11, 28]-NRT-code) [i]
67Linear OOA(330, 8, F3, 5, 28) (dual of [(8, 5), 10, 29]-NRT-code) [i]
68Linear OOA(331, 8, F3, 5, 29) (dual of [(8, 5), 9, 30]-NRT-code) [i]
69Linear OOA(332, 8, F3, 5, 30) (dual of [(8, 5), 8, 31]-NRT-code) [i]
70Linear OOA(333, 8, F3, 5, 31) (dual of [(8, 5), 7, 32]-NRT-code) [i]
71Linear OOA(334, 8, F3, 5, 32) (dual of [(8, 5), 6, 33]-NRT-code) [i]
72Linear OOA(335, 8, F3, 5, 33) (dual of [(8, 5), 5, 34]-NRT-code) [i]
73Linear OOA(336, 8, F3, 5, 34) (dual of [(8, 5), 4, 35]-NRT-code) [i]
74Linear OOA(337, 8, F3, 5, 35) (dual of [(8, 5), 3, 36]-NRT-code) [i]
75Linear OOA(338, 8, F3, 5, 36) (dual of [(8, 5), 2, 37]-NRT-code) [i]