Information on Result #600198

Function Field F/F5 with g(F) = 2 and N(F) ≥ 12, 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, 11)-sequence over F5 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OOA(58, 12, F5, 2, 6) (dual of [(12, 2), 16, 7]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
3Linear OOA(59, 12, F5, 2, 7) (dual of [(12, 2), 15, 8]-NRT-code) [i]
4Linear OOA(510, 12, F5, 2, 8) (dual of [(12, 2), 14, 9]-NRT-code) [i]
5Linear OOA(511, 12, F5, 2, 9) (dual of [(12, 2), 13, 10]-NRT-code) [i]
6Linear OOA(512, 12, F5, 2, 10) (dual of [(12, 2), 12, 11]-NRT-code) [i]
7Linear OOA(513, 12, F5, 2, 11) (dual of [(12, 2), 11, 12]-NRT-code) [i]
8Linear OOA(514, 12, F5, 2, 12) (dual of [(12, 2), 10, 13]-NRT-code) [i]
9Linear OOA(515, 12, F5, 2, 13) (dual of [(12, 2), 9, 14]-NRT-code) [i]
10Linear OOA(516, 12, F5, 2, 14) (dual of [(12, 2), 8, 15]-NRT-code) [i]
11Linear OOA(517, 12, F5, 2, 15) (dual of [(12, 2), 7, 16]-NRT-code) [i]
12Linear OOA(518, 12, F5, 2, 16) (dual of [(12, 2), 6, 17]-NRT-code) [i]
13Linear OOA(519, 12, F5, 2, 17) (dual of [(12, 2), 5, 18]-NRT-code) [i]
14Linear OOA(520, 12, F5, 2, 18) (dual of [(12, 2), 4, 19]-NRT-code) [i]
15Linear OOA(521, 12, F5, 2, 19) (dual of [(12, 2), 3, 20]-NRT-code) [i]
16Linear OOA(522, 12, F5, 2, 20) (dual of [(12, 2), 2, 21]-NRT-code) [i]
17Linear OOA(58, 12, F5, 3, 6) (dual of [(12, 3), 28, 7]-NRT-code) [i]
18Linear OOA(59, 12, F5, 3, 7) (dual of [(12, 3), 27, 8]-NRT-code) [i]
19Linear OOA(510, 12, F5, 3, 8) (dual of [(12, 3), 26, 9]-NRT-code) [i]
20Linear OOA(511, 12, F5, 3, 9) (dual of [(12, 3), 25, 10]-NRT-code) [i]
21Linear OOA(512, 12, F5, 3, 10) (dual of [(12, 3), 24, 11]-NRT-code) [i]
22Linear OOA(513, 12, F5, 3, 11) (dual of [(12, 3), 23, 12]-NRT-code) [i]
23Linear OOA(514, 12, F5, 3, 12) (dual of [(12, 3), 22, 13]-NRT-code) [i]
24Linear OOA(515, 12, F5, 3, 13) (dual of [(12, 3), 21, 14]-NRT-code) [i]
25Linear OOA(516, 12, F5, 3, 14) (dual of [(12, 3), 20, 15]-NRT-code) [i]
26Linear OOA(517, 12, F5, 3, 15) (dual of [(12, 3), 19, 16]-NRT-code) [i]
27Linear OOA(518, 12, F5, 3, 16) (dual of [(12, 3), 18, 17]-NRT-code) [i]
28Linear OOA(519, 12, F5, 3, 17) (dual of [(12, 3), 17, 18]-NRT-code) [i]
29Linear OOA(520, 12, F5, 3, 18) (dual of [(12, 3), 16, 19]-NRT-code) [i]
30Linear OOA(521, 12, F5, 3, 19) (dual of [(12, 3), 15, 20]-NRT-code) [i]
31Linear OOA(522, 12, F5, 3, 20) (dual of [(12, 3), 14, 21]-NRT-code) [i]
32Linear OOA(523, 12, F5, 3, 21) (dual of [(12, 3), 13, 22]-NRT-code) [i]
33Linear OOA(524, 12, F5, 3, 22) (dual of [(12, 3), 12, 23]-NRT-code) [i]
34Linear OOA(525, 12, F5, 3, 23) (dual of [(12, 3), 11, 24]-NRT-code) [i]
35Linear OOA(526, 12, F5, 3, 24) (dual of [(12, 3), 10, 25]-NRT-code) [i]
36Linear OOA(527, 12, F5, 3, 25) (dual of [(12, 3), 9, 26]-NRT-code) [i]
37Linear OOA(528, 12, F5, 3, 26) (dual of [(12, 3), 8, 27]-NRT-code) [i]
38Linear OOA(529, 12, F5, 3, 27) (dual of [(12, 3), 7, 28]-NRT-code) [i]
39Linear OOA(530, 12, F5, 3, 28) (dual of [(12, 3), 6, 29]-NRT-code) [i]
40Linear OOA(531, 12, F5, 3, 29) (dual of [(12, 3), 5, 30]-NRT-code) [i]
41Linear OOA(532, 12, F5, 3, 30) (dual of [(12, 3), 4, 31]-NRT-code) [i]
42Linear OOA(533, 12, F5, 3, 31) (dual of [(12, 3), 3, 32]-NRT-code) [i]
43Linear OOA(534, 12, F5, 3, 32) (dual of [(12, 3), 2, 33]-NRT-code) [i]