Information on Result #600316

Function Field F/F25 with g(F) = 1 and N(F) ≥ 36, using sharp bound on the number of rational points on curves with genus 1

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 (1, 35)-sequence over F25 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(255, 36, F25, 4) (dual of [36, 31, 5]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(256, 36, F25, 5) (dual of [36, 30, 6]-code) [i]
4Linear OA(257, 36, F25, 6) (dual of [36, 29, 7]-code) [i]
5Linear OA(258, 36, F25, 7) (dual of [36, 28, 8]-code) [i]
6Linear OA(259, 36, F25, 8) (dual of [36, 27, 9]-code) [i]
7Linear OA(2510, 36, F25, 9) (dual of [36, 26, 10]-code) [i]
8Linear OA(2511, 36, F25, 10) (dual of [36, 25, 11]-code) [i]
9Linear OA(2512, 36, F25, 11) (dual of [36, 24, 12]-code) [i]
10Linear OA(2513, 36, F25, 12) (dual of [36, 23, 13]-code) [i]
11Linear OA(2514, 36, F25, 13) (dual of [36, 22, 14]-code) [i]
12Linear OA(2515, 36, F25, 14) (dual of [36, 21, 15]-code) [i]
13Linear OA(2516, 36, F25, 15) (dual of [36, 20, 16]-code) [i]
14Linear OA(2517, 36, F25, 16) (dual of [36, 19, 17]-code) [i]
15Linear OA(2518, 36, F25, 17) (dual of [36, 18, 18]-code) [i]
16Linear OA(2519, 36, F25, 18) (dual of [36, 17, 19]-code) [i]
17Linear OA(2520, 36, F25, 19) (dual of [36, 16, 20]-code) [i]
18Linear OA(2521, 36, F25, 20) (dual of [36, 15, 21]-code) [i]
19Linear OA(2522, 36, F25, 21) (dual of [36, 14, 22]-code) [i]
20Linear OA(2523, 36, F25, 22) (dual of [36, 13, 23]-code) [i]
21Linear OA(2524, 36, F25, 23) (dual of [36, 12, 24]-code) [i]
22Linear OA(2525, 36, F25, 24) (dual of [36, 11, 25]-code) [i]
23Linear OA(2526, 36, F25, 25) (dual of [36, 10, 26]-code) [i]
24Linear OA(2527, 36, F25, 26) (dual of [36, 9, 27]-code) [i]
25Linear OA(2528, 36, F25, 27) (dual of [36, 8, 28]-code) [i]
26Linear OA(2529, 36, F25, 28) (dual of [36, 7, 29]-code) [i]
27Linear OA(2530, 36, F25, 29) (dual of [36, 6, 30]-code) [i]
28Linear OA(2531, 36, F25, 30) (dual of [36, 5, 31]-code) [i]
29Linear OA(2532, 36, F25, 31) (dual of [36, 4, 32]-code) [i]
30Linear OA(2533, 36, F25, 32) (dual of [36, 3, 33]-code) [i]
31Linear OOA(255, 36, F25, 2, 4) (dual of [(36, 2), 67, 5]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
32Linear OOA(256, 36, F25, 2, 5) (dual of [(36, 2), 66, 6]-NRT-code) [i]
33Linear OOA(257, 36, F25, 2, 6) (dual of [(36, 2), 65, 7]-NRT-code) [i]
34Linear OOA(258, 36, F25, 2, 7) (dual of [(36, 2), 64, 8]-NRT-code) [i]
35Linear OOA(259, 36, F25, 2, 8) (dual of [(36, 2), 63, 9]-NRT-code) [i]
36Linear OOA(2510, 36, F25, 2, 9) (dual of [(36, 2), 62, 10]-NRT-code) [i]
37Linear OOA(2511, 36, F25, 2, 10) (dual of [(36, 2), 61, 11]-NRT-code) [i]
38Linear OOA(2512, 36, F25, 2, 11) (dual of [(36, 2), 60, 12]-NRT-code) [i]
39Linear OOA(2513, 36, F25, 2, 12) (dual of [(36, 2), 59, 13]-NRT-code) [i]
40Linear OOA(2514, 36, F25, 2, 13) (dual of [(36, 2), 58, 14]-NRT-code) [i]
41Linear OOA(2515, 36, F25, 2, 14) (dual of [(36, 2), 57, 15]-NRT-code) [i]
42Linear OOA(2516, 36, F25, 2, 15) (dual of [(36, 2), 56, 16]-NRT-code) [i]
43Linear OOA(2517, 36, F25, 2, 16) (dual of [(36, 2), 55, 17]-NRT-code) [i]
44Linear OOA(2518, 36, F25, 2, 17) (dual of [(36, 2), 54, 18]-NRT-code) [i]
45Linear OOA(2519, 36, F25, 2, 18) (dual of [(36, 2), 53, 19]-NRT-code) [i]
46Linear OOA(2520, 36, F25, 2, 19) (dual of [(36, 2), 52, 20]-NRT-code) [i]
47Linear OOA(2521, 36, F25, 2, 20) (dual of [(36, 2), 51, 21]-NRT-code) [i]
48Linear OOA(2522, 36, F25, 2, 21) (dual of [(36, 2), 50, 22]-NRT-code) [i]
49Linear OOA(2523, 36, F25, 2, 22) (dual of [(36, 2), 49, 23]-NRT-code) [i]
50Linear OOA(2524, 36, F25, 2, 23) (dual of [(36, 2), 48, 24]-NRT-code) [i]
51Linear OOA(2525, 36, F25, 2, 24) (dual of [(36, 2), 47, 25]-NRT-code) [i]
52Linear OOA(2526, 36, F25, 2, 25) (dual of [(36, 2), 46, 26]-NRT-code) [i]
53Linear OOA(2527, 36, F25, 2, 26) (dual of [(36, 2), 45, 27]-NRT-code) [i]
54Linear OOA(2528, 36, F25, 2, 27) (dual of [(36, 2), 44, 28]-NRT-code) [i]
55Linear OOA(2529, 36, F25, 2, 28) (dual of [(36, 2), 43, 29]-NRT-code) [i]
56Linear OOA(2530, 36, F25, 2, 29) (dual of [(36, 2), 42, 30]-NRT-code) [i]
57Linear OOA(2531, 36, F25, 2, 30) (dual of [(36, 2), 41, 31]-NRT-code) [i]
58Linear OOA(2532, 36, F25, 2, 31) (dual of [(36, 2), 40, 32]-NRT-code) [i]
59Linear OOA(2533, 36, F25, 2, 32) (dual of [(36, 2), 39, 33]-NRT-code) [i]
60Linear OOA(2534, 36, F25, 2, 33) (dual of [(36, 2), 38, 34]-NRT-code) [i]
61Linear OOA(2535, 36, F25, 2, 34) (dual of [(36, 2), 37, 35]-NRT-code) [i]
62Linear OOA(2536, 36, F25, 2, 35) (dual of [(36, 2), 36, 36]-NRT-code) [i]
63Linear OOA(2537, 36, F25, 2, 36) (dual of [(36, 2), 35, 37]-NRT-code) [i]
64Linear OOA(2538, 36, F25, 2, 37) (dual of [(36, 2), 34, 38]-NRT-code) [i]
65Linear OOA(2539, 36, F25, 2, 38) (dual of [(36, 2), 33, 39]-NRT-code) [i]
66Linear OOA(2540, 36, F25, 2, 39) (dual of [(36, 2), 32, 40]-NRT-code) [i]
67Linear OOA(2541, 36, F25, 2, 40) (dual of [(36, 2), 31, 41]-NRT-code) [i]
68Linear OOA(2542, 36, F25, 2, 41) (dual of [(36, 2), 30, 42]-NRT-code) [i]
69Linear OOA(2543, 36, F25, 2, 42) (dual of [(36, 2), 29, 43]-NRT-code) [i]
70Linear OOA(2544, 36, F25, 2, 43) (dual of [(36, 2), 28, 44]-NRT-code) [i]
71Linear OOA(2545, 36, F25, 2, 44) (dual of [(36, 2), 27, 45]-NRT-code) [i]
72Linear OOA(2546, 36, F25, 2, 45) (dual of [(36, 2), 26, 46]-NRT-code) [i]
73Linear OOA(2547, 36, F25, 2, 46) (dual of [(36, 2), 25, 47]-NRT-code) [i]
74Linear OOA(2548, 36, F25, 2, 47) (dual of [(36, 2), 24, 48]-NRT-code) [i]
75Linear OOA(2549, 36, F25, 2, 48) (dual of [(36, 2), 23, 49]-NRT-code) [i]
76Linear OOA(2550, 36, F25, 2, 49) (dual of [(36, 2), 22, 50]-NRT-code) [i]
77Linear OOA(2551, 36, F25, 2, 50) (dual of [(36, 2), 21, 51]-NRT-code) [i]
78Linear OOA(2552, 36, F25, 2, 51) (dual of [(36, 2), 20, 52]-NRT-code) [i]
79Linear OOA(2553, 36, F25, 2, 52) (dual of [(36, 2), 19, 53]-NRT-code) [i]
80Linear OOA(2554, 36, F25, 2, 53) (dual of [(36, 2), 18, 54]-NRT-code) [i]
81Linear OOA(2555, 36, F25, 2, 54) (dual of [(36, 2), 17, 55]-NRT-code) [i]
82Linear OOA(2556, 36, F25, 2, 55) (dual of [(36, 2), 16, 56]-NRT-code) [i]
83Linear OOA(2557, 36, F25, 2, 56) (dual of [(36, 2), 15, 57]-NRT-code) [i]
84Linear OOA(2558, 36, F25, 2, 57) (dual of [(36, 2), 14, 58]-NRT-code) [i]
85Linear OOA(2559, 36, F25, 2, 58) (dual of [(36, 2), 13, 59]-NRT-code) [i]
86Linear OOA(2560, 36, F25, 2, 59) (dual of [(36, 2), 12, 60]-NRT-code) [i]
87Linear OOA(2561, 36, F25, 2, 60) (dual of [(36, 2), 11, 61]-NRT-code) [i]
88Linear OOA(2562, 36, F25, 2, 61) (dual of [(36, 2), 10, 62]-NRT-code) [i]
89Linear OOA(2563, 36, F25, 2, 62) (dual of [(36, 2), 9, 63]-NRT-code) [i]
90Linear OOA(2564, 36, F25, 2, 63) (dual of [(36, 2), 8, 64]-NRT-code) [i]
91Linear OOA(2565, 36, F25, 2, 64) (dual of [(36, 2), 7, 65]-NRT-code) [i]
92Linear OOA(2566, 36, F25, 2, 65) (dual of [(36, 2), 6, 66]-NRT-code) [i]
93Linear OOA(2567, 36, F25, 2, 66) (dual of [(36, 2), 5, 67]-NRT-code) [i]
94Linear OOA(2568, 36, F25, 2, 67) (dual of [(36, 2), 4, 68]-NRT-code) [i]
95Linear OOA(2569, 36, F25, 2, 68) (dual of [(36, 2), 3, 69]-NRT-code) [i]