Information on Result #601002

Function Field F/F81 with g(F) = 26 and N(F) ≥ 500, 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 (26, 499)-sequence over F81 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(8161, 500, F81, 35) (dual of [500, 439, 36]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(8162, 500, F81, 36) (dual of [500, 438, 37]-code) [i]
4Linear OA(8163, 500, F81, 37) (dual of [500, 437, 38]-code) [i]
5Linear OA(8164, 500, F81, 38) (dual of [500, 436, 39]-code) [i]
6Linear OA(8165, 500, F81, 39) (dual of [500, 435, 40]-code) [i]
7Linear OA(8166, 500, F81, 40) (dual of [500, 434, 41]-code) [i]
8Linear OA(8167, 500, F81, 41) (dual of [500, 433, 42]-code) [i]
9Linear OA(8168, 500, F81, 42) (dual of [500, 432, 43]-code) [i]
10Linear OA(8169, 500, F81, 43) (dual of [500, 431, 44]-code) [i]
11Linear OA(8170, 500, F81, 44) (dual of [500, 430, 45]-code) [i]
12Linear OA(8171, 500, F81, 45) (dual of [500, 429, 46]-code) [i]
13Linear OA(8172, 500, F81, 46) (dual of [500, 428, 47]-code) [i]
14Linear OA(8173, 500, F81, 47) (dual of [500, 427, 48]-code) [i]
15Linear OA(8174, 500, F81, 48) (dual of [500, 426, 49]-code) [i]
16Linear OA(8175, 500, F81, 49) (dual of [500, 425, 50]-code) [i]
17Linear OA(8176, 500, F81, 50) (dual of [500, 424, 51]-code) [i]
18Linear OA(8177, 500, F81, 51) (dual of [500, 423, 52]-code) [i]
19Linear OA(8178, 500, F81, 52) (dual of [500, 422, 53]-code) [i]
20Linear OA(8179, 500, F81, 53) (dual of [500, 421, 54]-code) [i]
21Linear OA(8180, 500, F81, 54) (dual of [500, 420, 55]-code) [i]
22Linear OA(8181, 500, F81, 55) (dual of [500, 419, 56]-code) [i]
23Linear OA(8182, 500, F81, 56) (dual of [500, 418, 57]-code) [i]
24Linear OOA(8155, 500, F81, 2, 29) (dual of [(500, 2), 945, 30]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
25Linear OOA(8156, 500, F81, 2, 30) (dual of [(500, 2), 944, 31]-NRT-code) [i]
26Linear OOA(8157, 500, F81, 2, 31) (dual of [(500, 2), 943, 32]-NRT-code) [i]
27Linear OOA(8158, 500, F81, 2, 32) (dual of [(500, 2), 942, 33]-NRT-code) [i]
28Linear OOA(8159, 500, F81, 2, 33) (dual of [(500, 2), 941, 34]-NRT-code) [i]
29Linear OOA(8160, 500, F81, 2, 34) (dual of [(500, 2), 940, 35]-NRT-code) [i]
30Linear OOA(8161, 500, F81, 2, 35) (dual of [(500, 2), 939, 36]-NRT-code) [i]
31Linear OOA(8162, 500, F81, 2, 36) (dual of [(500, 2), 938, 37]-NRT-code) [i]
32Linear OOA(8163, 500, F81, 2, 37) (dual of [(500, 2), 937, 38]-NRT-code) [i]
33Linear OOA(8164, 500, F81, 2, 38) (dual of [(500, 2), 936, 39]-NRT-code) [i]
34Linear OOA(8165, 500, F81, 2, 39) (dual of [(500, 2), 935, 40]-NRT-code) [i]
35Linear OOA(8166, 500, F81, 2, 40) (dual of [(500, 2), 934, 41]-NRT-code) [i]
36Linear OOA(8167, 500, F81, 2, 41) (dual of [(500, 2), 933, 42]-NRT-code) [i]
37Linear OOA(8168, 500, F81, 2, 42) (dual of [(500, 2), 932, 43]-NRT-code) [i]
38Linear OOA(8169, 500, F81, 2, 43) (dual of [(500, 2), 931, 44]-NRT-code) [i]
39Linear OOA(8170, 500, F81, 2, 44) (dual of [(500, 2), 930, 45]-NRT-code) [i]
40Linear OOA(8171, 500, F81, 2, 45) (dual of [(500, 2), 929, 46]-NRT-code) [i]
41Linear OOA(8172, 500, F81, 2, 46) (dual of [(500, 2), 928, 47]-NRT-code) [i]
42Linear OOA(8173, 500, F81, 2, 47) (dual of [(500, 2), 927, 48]-NRT-code) [i]
43Linear OOA(8174, 500, F81, 2, 48) (dual of [(500, 2), 926, 49]-NRT-code) [i]
44Linear OOA(8175, 500, F81, 2, 49) (dual of [(500, 2), 925, 50]-NRT-code) [i]
45Linear OOA(8176, 500, F81, 2, 50) (dual of [(500, 2), 924, 51]-NRT-code) [i]
46Linear OOA(8177, 500, F81, 2, 51) (dual of [(500, 2), 923, 52]-NRT-code) [i]
47Linear OOA(8178, 500, F81, 2, 52) (dual of [(500, 2), 922, 53]-NRT-code) [i]
48Linear OOA(8179, 500, F81, 2, 53) (dual of [(500, 2), 921, 54]-NRT-code) [i]
49Linear OOA(8180, 500, F81, 2, 54) (dual of [(500, 2), 920, 55]-NRT-code) [i]
50Linear OOA(8181, 500, F81, 2, 55) (dual of [(500, 2), 919, 56]-NRT-code) [i]
51Linear OOA(8182, 500, F81, 2, 56) (dual of [(500, 2), 918, 57]-NRT-code) [i]
52Linear OOA(8155, 500, F81, 3, 29) (dual of [(500, 3), 1445, 30]-NRT-code) [i]
53Linear OOA(8156, 500, F81, 3, 30) (dual of [(500, 3), 1444, 31]-NRT-code) [i]
54Linear OOA(8157, 500, F81, 3, 31) (dual of [(500, 3), 1443, 32]-NRT-code) [i]
55Linear OOA(8158, 500, F81, 3, 32) (dual of [(500, 3), 1442, 33]-NRT-code) [i]
56Linear OOA(8159, 500, F81, 3, 33) (dual of [(500, 3), 1441, 34]-NRT-code) [i]
57Linear OOA(8160, 500, F81, 3, 34) (dual of [(500, 3), 1440, 35]-NRT-code) [i]
58Linear OOA(8161, 500, F81, 3, 35) (dual of [(500, 3), 1439, 36]-NRT-code) [i]
59Linear OOA(8162, 500, F81, 3, 36) (dual of [(500, 3), 1438, 37]-NRT-code) [i]
60Linear OOA(8163, 500, F81, 3, 37) (dual of [(500, 3), 1437, 38]-NRT-code) [i]
61Linear OOA(8164, 500, F81, 3, 38) (dual of [(500, 3), 1436, 39]-NRT-code) [i]
62Linear OOA(8165, 500, F81, 3, 39) (dual of [(500, 3), 1435, 40]-NRT-code) [i]
63Linear OOA(8166, 500, F81, 3, 40) (dual of [(500, 3), 1434, 41]-NRT-code) [i]
64Linear OOA(8167, 500, F81, 3, 41) (dual of [(500, 3), 1433, 42]-NRT-code) [i]
65Linear OOA(8168, 500, F81, 3, 42) (dual of [(500, 3), 1432, 43]-NRT-code) [i]
66Linear OOA(8169, 500, F81, 3, 43) (dual of [(500, 3), 1431, 44]-NRT-code) [i]
67Linear OOA(8170, 500, F81, 3, 44) (dual of [(500, 3), 1430, 45]-NRT-code) [i]
68Linear OOA(8171, 500, F81, 3, 45) (dual of [(500, 3), 1429, 46]-NRT-code) [i]
69Linear OOA(8172, 500, F81, 3, 46) (dual of [(500, 3), 1428, 47]-NRT-code) [i]
70Linear OOA(8173, 500, F81, 3, 47) (dual of [(500, 3), 1427, 48]-NRT-code) [i]
71Linear OOA(8174, 500, F81, 3, 48) (dual of [(500, 3), 1426, 49]-NRT-code) [i]
72Linear OOA(8175, 500, F81, 3, 49) (dual of [(500, 3), 1425, 50]-NRT-code) [i]
73Linear OOA(8176, 500, F81, 3, 50) (dual of [(500, 3), 1424, 51]-NRT-code) [i]
74Linear OOA(8177, 500, F81, 3, 51) (dual of [(500, 3), 1423, 52]-NRT-code) [i]
75Linear OOA(8178, 500, F81, 3, 52) (dual of [(500, 3), 1422, 53]-NRT-code) [i]
76Linear OOA(8179, 500, F81, 3, 53) (dual of [(500, 3), 1421, 54]-NRT-code) [i]
77Linear OOA(8180, 500, F81, 3, 54) (dual of [(500, 3), 1420, 55]-NRT-code) [i]
78Linear OOA(8181, 500, F81, 3, 55) (dual of [(500, 3), 1419, 56]-NRT-code) [i]
79Linear OOA(8182, 500, F81, 3, 56) (dual of [(500, 3), 1418, 57]-NRT-code) [i]
80Linear OOA(8155, 500, F81, 4, 29) (dual of [(500, 4), 1945, 30]-NRT-code) [i]
81Linear OOA(8156, 500, F81, 4, 30) (dual of [(500, 4), 1944, 31]-NRT-code) [i]
82Linear OOA(8157, 500, F81, 4, 31) (dual of [(500, 4), 1943, 32]-NRT-code) [i]
83Linear OOA(8158, 500, F81, 4, 32) (dual of [(500, 4), 1942, 33]-NRT-code) [i]
84Linear OOA(8159, 500, F81, 4, 33) (dual of [(500, 4), 1941, 34]-NRT-code) [i]
85Linear OOA(8160, 500, F81, 4, 34) (dual of [(500, 4), 1940, 35]-NRT-code) [i]
86Linear OOA(8161, 500, F81, 4, 35) (dual of [(500, 4), 1939, 36]-NRT-code) [i]
87Linear OOA(8162, 500, F81, 4, 36) (dual of [(500, 4), 1938, 37]-NRT-code) [i]
88Linear OOA(8163, 500, F81, 4, 37) (dual of [(500, 4), 1937, 38]-NRT-code) [i]
89Linear OOA(8164, 500, F81, 4, 38) (dual of [(500, 4), 1936, 39]-NRT-code) [i]
90Linear OOA(8165, 500, F81, 4, 39) (dual of [(500, 4), 1935, 40]-NRT-code) [i]
91Linear OOA(8166, 500, F81, 4, 40) (dual of [(500, 4), 1934, 41]-NRT-code) [i]
92Linear OOA(8167, 500, F81, 4, 41) (dual of [(500, 4), 1933, 42]-NRT-code) [i]
93Linear OOA(8168, 500, F81, 4, 42) (dual of [(500, 4), 1932, 43]-NRT-code) [i]
94Linear OOA(8169, 500, F81, 4, 43) (dual of [(500, 4), 1931, 44]-NRT-code) [i]
95Linear OOA(8170, 500, F81, 4, 44) (dual of [(500, 4), 1930, 45]-NRT-code) [i]
96Linear OOA(8171, 500, F81, 4, 45) (dual of [(500, 4), 1929, 46]-NRT-code) [i]
97Linear OOA(8172, 500, F81, 4, 46) (dual of [(500, 4), 1928, 47]-NRT-code) [i]
98Linear OOA(8173, 500, F81, 4, 47) (dual of [(500, 4), 1927, 48]-NRT-code) [i]
99Linear OOA(8174, 500, F81, 4, 48) (dual of [(500, 4), 1926, 49]-NRT-code) [i]
100Linear OOA(8175, 500, F81, 4, 49) (dual of [(500, 4), 1925, 50]-NRT-code) [i]
101Linear OOA(8176, 500, F81, 4, 50) (dual of [(500, 4), 1924, 51]-NRT-code) [i]
102Linear OOA(8177, 500, F81, 4, 51) (dual of [(500, 4), 1923, 52]-NRT-code) [i]
103Linear OOA(8178, 500, F81, 4, 52) (dual of [(500, 4), 1922, 53]-NRT-code) [i]
104Linear OOA(8179, 500, F81, 4, 53) (dual of [(500, 4), 1921, 54]-NRT-code) [i]
105Linear OOA(8180, 500, F81, 4, 54) (dual of [(500, 4), 1920, 55]-NRT-code) [i]
106Linear OOA(8181, 500, F81, 4, 55) (dual of [(500, 4), 1919, 56]-NRT-code) [i]
107Linear OOA(8182, 500, F81, 4, 56) (dual of [(500, 4), 1918, 57]-NRT-code) [i]
108Linear OA(8181, 499, F81, 55) (dual of [499, 418, 56]-code) [i]Algebraic-Geometric Codes
109Linear OA(8179, 499, F81, 53) (dual of [499, 420, 54]-code) [i]
110Linear OA(8180, 499, F81, 54) (dual of [499, 419, 55]-code) [i]
111Linear OA(8178, 499, F81, 52) (dual of [499, 421, 53]-code) [i]
112Linear OA(8177, 499, F81, 51) (dual of [499, 422, 52]-code) [i]
113Linear OA(8176, 499, F81, 50) (dual of [499, 423, 51]-code) [i]
114Linear OA(8175, 499, F81, 49) (dual of [499, 424, 50]-code) [i]
115Linear OA(8174, 499, F81, 48) (dual of [499, 425, 49]-code) [i]
116Linear OA(8173, 499, F81, 47) (dual of [499, 426, 48]-code) [i]
117Linear OA(8172, 499, F81, 46) (dual of [499, 427, 47]-code) [i]
118Linear OA(8171, 499, F81, 45) (dual of [499, 428, 46]-code) [i]
119Linear OA(8170, 499, F81, 44) (dual of [499, 429, 45]-code) [i]
120Linear OA(8169, 499, F81, 43) (dual of [499, 430, 44]-code) [i]
121Linear OA(8168, 499, F81, 42) (dual of [499, 431, 43]-code) [i]
122Linear OA(8167, 499, F81, 41) (dual of [499, 432, 42]-code) [i]
123Linear OA(8166, 499, F81, 40) (dual of [499, 433, 41]-code) [i]
124Linear OA(8165, 499, F81, 39) (dual of [499, 434, 40]-code) [i]
125Linear OA(8164, 499, F81, 38) (dual of [499, 435, 39]-code) [i]
126Linear OA(8163, 499, F81, 37) (dual of [499, 436, 38]-code) [i]
127Linear OA(8162, 499, F81, 36) (dual of [499, 437, 37]-code) [i]
128Linear OA(8161, 499, F81, 35) (dual of [499, 438, 36]-code) [i]
129Linear OA(8160, 499, F81, 34) (dual of [499, 439, 35]-code) [i]
130Linear OOA(8179, 499, F81, 2, 53) (dual of [(499, 2), 919, 54]-NRT-code) [i]Algebraic-Geometric NRT-Codes
131Linear OOA(8175, 499, F81, 2, 49) (dual of [(499, 2), 923, 50]-NRT-code) [i]
132Linear OOA(8178, 499, F81, 2, 52) (dual of [(499, 2), 920, 53]-NRT-code) [i]
133Linear OOA(8174, 499, F81, 2, 48) (dual of [(499, 2), 924, 49]-NRT-code) [i]
134Linear OOA(8177, 499, F81, 2, 51) (dual of [(499, 2), 921, 52]-NRT-code) [i]
135Linear OOA(8173, 499, F81, 2, 47) (dual of [(499, 2), 925, 48]-NRT-code) [i]
136Linear OOA(8176, 499, F81, 2, 50) (dual of [(499, 2), 922, 51]-NRT-code) [i]
137Linear OOA(8172, 499, F81, 2, 46) (dual of [(499, 2), 926, 47]-NRT-code) [i]
138Linear OOA(8171, 499, F81, 2, 45) (dual of [(499, 2), 927, 46]-NRT-code) [i]
139Linear OOA(8170, 499, F81, 2, 44) (dual of [(499, 2), 928, 45]-NRT-code) [i]
140Linear OOA(8169, 499, F81, 2, 43) (dual of [(499, 2), 929, 44]-NRT-code) [i]
141Linear OOA(8168, 499, F81, 2, 42) (dual of [(499, 2), 930, 43]-NRT-code) [i]
142Linear OOA(8167, 499, F81, 2, 41) (dual of [(499, 2), 931, 42]-NRT-code) [i]
143Linear OOA(8166, 499, F81, 2, 40) (dual of [(499, 2), 932, 41]-NRT-code) [i]
144Linear OOA(8165, 499, F81, 2, 39) (dual of [(499, 2), 933, 40]-NRT-code) [i]
145Linear OOA(8164, 499, F81, 2, 38) (dual of [(499, 2), 934, 39]-NRT-code) [i]
146Linear OOA(8163, 499, F81, 2, 37) (dual of [(499, 2), 935, 38]-NRT-code) [i]
147Linear OOA(8162, 499, F81, 2, 36) (dual of [(499, 2), 936, 37]-NRT-code) [i]