Information on Result #600870

Function Field F/F64 with g(F) = 37 and N(F) ≥ 540, using a curve from the manYPoints database

Mode: 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 (37, 539)-sequence over F64 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(6486, 540, F64, 49) (dual of [540, 454, 50]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(6487, 540, F64, 50) (dual of [540, 453, 51]-code) [i]
4Linear OA(6488, 540, F64, 51) (dual of [540, 452, 52]-code) [i]
5Linear OA(6489, 540, F64, 52) (dual of [540, 451, 53]-code) [i]
6Linear OA(6490, 540, F64, 53) (dual of [540, 450, 54]-code) [i]
7Linear OA(6491, 540, F64, 54) (dual of [540, 449, 55]-code) [i]
8Linear OOA(6477, 540, F64, 2, 40) (dual of [(540, 2), 1003, 41]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
9Linear OOA(6478, 540, F64, 2, 41) (dual of [(540, 2), 1002, 42]-NRT-code) [i]
10Linear OOA(6479, 540, F64, 2, 42) (dual of [(540, 2), 1001, 43]-NRT-code) [i]
11Linear OOA(6480, 540, F64, 2, 43) (dual of [(540, 2), 1000, 44]-NRT-code) [i]
12Linear OOA(6481, 540, F64, 2, 44) (dual of [(540, 2), 999, 45]-NRT-code) [i]
13Linear OOA(6482, 540, F64, 2, 45) (dual of [(540, 2), 998, 46]-NRT-code) [i]
14Linear OOA(6483, 540, F64, 2, 46) (dual of [(540, 2), 997, 47]-NRT-code) [i]
15Linear OOA(6484, 540, F64, 2, 47) (dual of [(540, 2), 996, 48]-NRT-code) [i]
16Linear OOA(6485, 540, F64, 2, 48) (dual of [(540, 2), 995, 49]-NRT-code) [i]
17Linear OOA(6486, 540, F64, 2, 49) (dual of [(540, 2), 994, 50]-NRT-code) [i]
18Linear OOA(6487, 540, F64, 2, 50) (dual of [(540, 2), 993, 51]-NRT-code) [i]
19Linear OOA(6488, 540, F64, 2, 51) (dual of [(540, 2), 992, 52]-NRT-code) [i]
20Linear OOA(6489, 540, F64, 2, 52) (dual of [(540, 2), 991, 53]-NRT-code) [i]
21Linear OOA(6490, 540, F64, 2, 53) (dual of [(540, 2), 990, 54]-NRT-code) [i]
22Linear OOA(6491, 540, F64, 2, 54) (dual of [(540, 2), 989, 55]-NRT-code) [i]
23Linear OOA(6476, 540, F64, 3, 39) (dual of [(540, 3), 1544, 40]-NRT-code) [i]
24Linear OOA(6477, 540, F64, 3, 40) (dual of [(540, 3), 1543, 41]-NRT-code) [i]
25Linear OOA(6478, 540, F64, 3, 41) (dual of [(540, 3), 1542, 42]-NRT-code) [i]
26Linear OOA(6479, 540, F64, 3, 42) (dual of [(540, 3), 1541, 43]-NRT-code) [i]
27Linear OOA(6480, 540, F64, 3, 43) (dual of [(540, 3), 1540, 44]-NRT-code) [i]
28Linear OOA(6481, 540, F64, 3, 44) (dual of [(540, 3), 1539, 45]-NRT-code) [i]
29Linear OOA(6482, 540, F64, 3, 45) (dual of [(540, 3), 1538, 46]-NRT-code) [i]
30Linear OOA(6483, 540, F64, 3, 46) (dual of [(540, 3), 1537, 47]-NRT-code) [i]
31Linear OOA(6484, 540, F64, 3, 47) (dual of [(540, 3), 1536, 48]-NRT-code) [i]
32Linear OOA(6485, 540, F64, 3, 48) (dual of [(540, 3), 1535, 49]-NRT-code) [i]
33Linear OOA(6486, 540, F64, 3, 49) (dual of [(540, 3), 1534, 50]-NRT-code) [i]
34Linear OOA(6487, 540, F64, 3, 50) (dual of [(540, 3), 1533, 51]-NRT-code) [i]
35Linear OOA(6488, 540, F64, 3, 51) (dual of [(540, 3), 1532, 52]-NRT-code) [i]
36Linear OOA(6489, 540, F64, 3, 52) (dual of [(540, 3), 1531, 53]-NRT-code) [i]
37Linear OOA(6490, 540, F64, 3, 53) (dual of [(540, 3), 1530, 54]-NRT-code) [i]
38Linear OOA(6491, 540, F64, 3, 54) (dual of [(540, 3), 1529, 55]-NRT-code) [i]
39Linear OA(6490, 539, F64, 53) (dual of [539, 449, 54]-code) [i]Algebraic-Geometric Codes
40Linear OA(6488, 539, F64, 51) (dual of [539, 451, 52]-code) [i]
41Linear OA(6489, 539, F64, 52) (dual of [539, 450, 53]-code) [i]
42Linear OA(6487, 539, F64, 50) (dual of [539, 452, 51]-code) [i]
43Linear OA(6486, 539, F64, 49) (dual of [539, 453, 50]-code) [i]