Information on Result #600083

Function Field F/F64 with g(F) = 28 and N(F) ≥ 513, using the Hermitian function field over F64

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 (28, 512)-sequence over F64 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(6461, 513, F64, 33) (dual of [513, 452, 34]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(6462, 513, F64, 34) (dual of [513, 451, 35]-code) [i]
4Linear OA(6463, 513, F64, 35) (dual of [513, 450, 36]-code) [i]
5Linear OA(6464, 513, F64, 36) (dual of [513, 449, 37]-code) [i]
6Linear OA(6465, 513, F64, 37) (dual of [513, 448, 38]-code) [i]
7Linear OA(6466, 513, F64, 38) (dual of [513, 447, 39]-code) [i]
8Linear OA(6467, 513, F64, 39) (dual of [513, 446, 40]-code) [i]
9Linear OA(6468, 513, F64, 40) (dual of [513, 445, 41]-code) [i]
10Linear OA(6469, 513, F64, 41) (dual of [513, 444, 42]-code) [i]
11Linear OA(6470, 513, F64, 42) (dual of [513, 443, 43]-code) [i]
12Linear OA(6471, 513, F64, 43) (dual of [513, 442, 44]-code) [i]
13Linear OA(6472, 513, F64, 44) (dual of [513, 441, 45]-code) [i]
14Linear OA(6473, 513, F64, 45) (dual of [513, 440, 46]-code) [i]
15Linear OA(6474, 513, F64, 46) (dual of [513, 439, 47]-code) [i]
16Linear OA(6475, 513, F64, 47) (dual of [513, 438, 48]-code) [i]
17Linear OA(6476, 513, F64, 48) (dual of [513, 437, 49]-code) [i]
18Linear OA(6477, 513, F64, 49) (dual of [513, 436, 50]-code) [i]
19Linear OA(6478, 513, F64, 50) (dual of [513, 435, 51]-code) [i]
20Linear OA(6479, 513, F64, 51) (dual of [513, 434, 52]-code) [i]
21Linear OA(6480, 513, F64, 52) (dual of [513, 433, 53]-code) [i]
22Linear OA(6481, 513, F64, 53) (dual of [513, 432, 54]-code) [i]
23Linear OA(6482, 513, F64, 54) (dual of [513, 431, 55]-code) [i]
24Linear OA(6483, 513, F64, 55) (dual of [513, 430, 56]-code) [i]
25Linear OA(6484, 513, F64, 56) (dual of [513, 429, 57]-code) [i]
26Linear OA(6485, 513, F64, 57) (dual of [513, 428, 58]-code) [i]
27Linear OA(6486, 513, F64, 58) (dual of [513, 427, 59]-code) [i]
28Linear OA(6487, 513, F64, 59) (dual of [513, 426, 60]-code) [i]
29Linear OA(6488, 513, F64, 60) (dual of [513, 425, 61]-code) [i]
30Linear OA(6489, 513, F64, 61) (dual of [513, 424, 62]-code) [i]
31Linear OA(6490, 513, F64, 62) (dual of [513, 423, 63]-code) [i]
32Linear OA(6491, 513, F64, 63) (dual of [513, 422, 64]-code) [i]
33Linear OOA(6459, 513, F64, 2, 31) (dual of [(513, 2), 967, 32]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
34Linear OOA(6460, 513, F64, 2, 32) (dual of [(513, 2), 966, 33]-NRT-code) [i]
35Linear OOA(6461, 513, F64, 2, 33) (dual of [(513, 2), 965, 34]-NRT-code) [i]
36Linear OOA(6462, 513, F64, 2, 34) (dual of [(513, 2), 964, 35]-NRT-code) [i]
37Linear OOA(6463, 513, F64, 2, 35) (dual of [(513, 2), 963, 36]-NRT-code) [i]
38Linear OOA(6464, 513, F64, 2, 36) (dual of [(513, 2), 962, 37]-NRT-code) [i]
39Linear OOA(6465, 513, F64, 2, 37) (dual of [(513, 2), 961, 38]-NRT-code) [i]
40Linear OOA(6466, 513, F64, 2, 38) (dual of [(513, 2), 960, 39]-NRT-code) [i]
41Linear OOA(6467, 513, F64, 2, 39) (dual of [(513, 2), 959, 40]-NRT-code) [i]
42Linear OOA(6468, 513, F64, 2, 40) (dual of [(513, 2), 958, 41]-NRT-code) [i]
43Linear OOA(6469, 513, F64, 2, 41) (dual of [(513, 2), 957, 42]-NRT-code) [i]
44Linear OOA(6470, 513, F64, 2, 42) (dual of [(513, 2), 956, 43]-NRT-code) [i]
45Linear OOA(6471, 513, F64, 2, 43) (dual of [(513, 2), 955, 44]-NRT-code) [i]
46Linear OOA(6472, 513, F64, 2, 44) (dual of [(513, 2), 954, 45]-NRT-code) [i]
47Linear OOA(6473, 513, F64, 2, 45) (dual of [(513, 2), 953, 46]-NRT-code) [i]
48Linear OOA(6474, 513, F64, 2, 46) (dual of [(513, 2), 952, 47]-NRT-code) [i]
49Linear OOA(6475, 513, F64, 2, 47) (dual of [(513, 2), 951, 48]-NRT-code) [i]
50Linear OOA(6476, 513, F64, 2, 48) (dual of [(513, 2), 950, 49]-NRT-code) [i]
51Linear OOA(6477, 513, F64, 2, 49) (dual of [(513, 2), 949, 50]-NRT-code) [i]
52Linear OOA(6478, 513, F64, 2, 50) (dual of [(513, 2), 948, 51]-NRT-code) [i]
53Linear OOA(6479, 513, F64, 2, 51) (dual of [(513, 2), 947, 52]-NRT-code) [i]
54Linear OOA(6480, 513, F64, 2, 52) (dual of [(513, 2), 946, 53]-NRT-code) [i]
55Linear OOA(6481, 513, F64, 2, 53) (dual of [(513, 2), 945, 54]-NRT-code) [i]
56Linear OOA(6482, 513, F64, 2, 54) (dual of [(513, 2), 944, 55]-NRT-code) [i]
57Linear OOA(6483, 513, F64, 2, 55) (dual of [(513, 2), 943, 56]-NRT-code) [i]
58Linear OOA(6484, 513, F64, 2, 56) (dual of [(513, 2), 942, 57]-NRT-code) [i]
59Linear OOA(6485, 513, F64, 2, 57) (dual of [(513, 2), 941, 58]-NRT-code) [i]
60Linear OOA(6486, 513, F64, 2, 58) (dual of [(513, 2), 940, 59]-NRT-code) [i]
61Linear OOA(6487, 513, F64, 2, 59) (dual of [(513, 2), 939, 60]-NRT-code) [i]
62Linear OOA(6488, 513, F64, 2, 60) (dual of [(513, 2), 938, 61]-NRT-code) [i]
63Linear OOA(6489, 513, F64, 2, 61) (dual of [(513, 2), 937, 62]-NRT-code) [i]
64Linear OOA(6490, 513, F64, 2, 62) (dual of [(513, 2), 936, 63]-NRT-code) [i]
65Linear OOA(6491, 513, F64, 2, 63) (dual of [(513, 2), 935, 64]-NRT-code) [i]
66Linear OOA(6458, 513, F64, 3, 30) (dual of [(513, 3), 1481, 31]-NRT-code) [i]
67Linear OOA(6459, 513, F64, 3, 31) (dual of [(513, 3), 1480, 32]-NRT-code) [i]
68Linear OOA(6460, 513, F64, 3, 32) (dual of [(513, 3), 1479, 33]-NRT-code) [i]
69Linear OOA(6461, 513, F64, 3, 33) (dual of [(513, 3), 1478, 34]-NRT-code) [i]
70Linear OOA(6462, 513, F64, 3, 34) (dual of [(513, 3), 1477, 35]-NRT-code) [i]
71Linear OOA(6463, 513, F64, 3, 35) (dual of [(513, 3), 1476, 36]-NRT-code) [i]
72Linear OOA(6464, 513, F64, 3, 36) (dual of [(513, 3), 1475, 37]-NRT-code) [i]
73Linear OOA(6465, 513, F64, 3, 37) (dual of [(513, 3), 1474, 38]-NRT-code) [i]
74Linear OOA(6466, 513, F64, 3, 38) (dual of [(513, 3), 1473, 39]-NRT-code) [i]
75Linear OOA(6467, 513, F64, 3, 39) (dual of [(513, 3), 1472, 40]-NRT-code) [i]
76Linear OOA(6468, 513, F64, 3, 40) (dual of [(513, 3), 1471, 41]-NRT-code) [i]
77Linear OOA(6469, 513, F64, 3, 41) (dual of [(513, 3), 1470, 42]-NRT-code) [i]
78Linear OOA(6470, 513, F64, 3, 42) (dual of [(513, 3), 1469, 43]-NRT-code) [i]
79Linear OOA(6471, 513, F64, 3, 43) (dual of [(513, 3), 1468, 44]-NRT-code) [i]
80Linear OOA(6472, 513, F64, 3, 44) (dual of [(513, 3), 1467, 45]-NRT-code) [i]
81Linear OOA(6473, 513, F64, 3, 45) (dual of [(513, 3), 1466, 46]-NRT-code) [i]
82Linear OOA(6474, 513, F64, 3, 46) (dual of [(513, 3), 1465, 47]-NRT-code) [i]
83Linear OOA(6475, 513, F64, 3, 47) (dual of [(513, 3), 1464, 48]-NRT-code) [i]
84Linear OOA(6476, 513, F64, 3, 48) (dual of [(513, 3), 1463, 49]-NRT-code) [i]
85Linear OOA(6477, 513, F64, 3, 49) (dual of [(513, 3), 1462, 50]-NRT-code) [i]
86Linear OOA(6478, 513, F64, 3, 50) (dual of [(513, 3), 1461, 51]-NRT-code) [i]
87Linear OOA(6479, 513, F64, 3, 51) (dual of [(513, 3), 1460, 52]-NRT-code) [i]
88Linear OOA(6480, 513, F64, 3, 52) (dual of [(513, 3), 1459, 53]-NRT-code) [i]
89Linear OOA(6481, 513, F64, 3, 53) (dual of [(513, 3), 1458, 54]-NRT-code) [i]
90Linear OOA(6482, 513, F64, 3, 54) (dual of [(513, 3), 1457, 55]-NRT-code) [i]
91Linear OOA(6483, 513, F64, 3, 55) (dual of [(513, 3), 1456, 56]-NRT-code) [i]
92Linear OOA(6484, 513, F64, 3, 56) (dual of [(513, 3), 1455, 57]-NRT-code) [i]
93Linear OOA(6485, 513, F64, 3, 57) (dual of [(513, 3), 1454, 58]-NRT-code) [i]
94Linear OOA(6486, 513, F64, 3, 58) (dual of [(513, 3), 1453, 59]-NRT-code) [i]
95Linear OOA(6487, 513, F64, 3, 59) (dual of [(513, 3), 1452, 60]-NRT-code) [i]
96Linear OOA(6488, 513, F64, 3, 60) (dual of [(513, 3), 1451, 61]-NRT-code) [i]
97Linear OOA(6489, 513, F64, 3, 61) (dual of [(513, 3), 1450, 62]-NRT-code) [i]
98Linear OOA(6490, 513, F64, 3, 62) (dual of [(513, 3), 1449, 63]-NRT-code) [i]
99Linear OOA(6491, 513, F64, 3, 63) (dual of [(513, 3), 1448, 64]-NRT-code) [i]
100Linear OA(6490, 512, F64, 62) (dual of [512, 422, 63]-code) [i]Algebraic-Geometric Codes
101Linear OA(6488, 512, F64, 60) (dual of [512, 424, 61]-code) [i]
102Linear OA(6489, 512, F64, 61) (dual of [512, 423, 62]-code) [i]
103Linear OA(6487, 512, F64, 59) (dual of [512, 425, 60]-code) [i]
104Linear OA(6486, 512, F64, 58) (dual of [512, 426, 59]-code) [i]
105Linear OA(6485, 512, F64, 57) (dual of [512, 427, 58]-code) [i]
106Linear OA(6484, 512, F64, 56) (dual of [512, 428, 57]-code) [i]
107Linear OA(6483, 512, F64, 55) (dual of [512, 429, 56]-code) [i]
108Linear OA(6482, 512, F64, 54) (dual of [512, 430, 55]-code) [i]
109Linear OA(6481, 512, F64, 53) (dual of [512, 431, 54]-code) [i]
110Linear OA(6480, 512, F64, 52) (dual of [512, 432, 53]-code) [i]
111Linear OA(6479, 512, F64, 51) (dual of [512, 433, 52]-code) [i]
112Linear OA(6478, 512, F64, 50) (dual of [512, 434, 51]-code) [i]
113Linear OA(6477, 512, F64, 49) (dual of [512, 435, 50]-code) [i]
114Linear OA(6476, 512, F64, 48) (dual of [512, 436, 49]-code) [i]
115Linear OA(6475, 512, F64, 47) (dual of [512, 437, 48]-code) [i]
116Linear OA(6474, 512, F64, 46) (dual of [512, 438, 47]-code) [i]
117Linear OA(6473, 512, F64, 45) (dual of [512, 439, 46]-code) [i]
118Linear OA(6472, 512, F64, 44) (dual of [512, 440, 45]-code) [i]
119Linear OA(6471, 512, F64, 43) (dual of [512, 441, 44]-code) [i]
120Linear OA(6470, 512, F64, 42) (dual of [512, 442, 43]-code) [i]
121Linear OA(6469, 512, F64, 41) (dual of [512, 443, 42]-code) [i]
122Linear OA(6468, 512, F64, 40) (dual of [512, 444, 41]-code) [i]
123Linear OA(6467, 512, F64, 39) (dual of [512, 445, 40]-code) [i]
124Linear OA(6466, 512, F64, 38) (dual of [512, 446, 39]-code) [i]
125Linear OA(6465, 512, F64, 37) (dual of [512, 447, 38]-code) [i]
126Linear OA(6464, 512, F64, 36) (dual of [512, 448, 37]-code) [i]
127Linear OA(6463, 512, F64, 35) (dual of [512, 449, 36]-code) [i]
128Linear OA(6462, 512, F64, 34) (dual of [512, 450, 35]-code) [i]
129Linear OA(6461, 512, F64, 33) (dual of [512, 451, 34]-code) [i]
130Linear OA(6460, 512, F64, 32) (dual of [512, 452, 33]-code) [i]
131Linear OOA(6488, 512, F64, 2, 60) (dual of [(512, 2), 936, 61]-NRT-code) [i]Algebraic-Geometric NRT-Codes
132Linear OOA(6484, 512, F64, 2, 56) (dual of [(512, 2), 940, 57]-NRT-code) [i]
133Linear OOA(6487, 512, F64, 2, 59) (dual of [(512, 2), 937, 60]-NRT-code) [i]
134Linear OOA(6483, 512, F64, 2, 55) (dual of [(512, 2), 941, 56]-NRT-code) [i]
135Linear OOA(6486, 512, F64, 2, 58) (dual of [(512, 2), 938, 59]-NRT-code) [i]
136Linear OOA(6482, 512, F64, 2, 54) (dual of [(512, 2), 942, 55]-NRT-code) [i]
137Linear OOA(6485, 512, F64, 2, 57) (dual of [(512, 2), 939, 58]-NRT-code) [i]
138Linear OOA(6481, 512, F64, 2, 53) (dual of [(512, 2), 943, 54]-NRT-code) [i]
139Linear OOA(6480, 512, F64, 2, 52) (dual of [(512, 2), 944, 53]-NRT-code) [i]
140Linear OOA(6479, 512, F64, 2, 51) (dual of [(512, 2), 945, 52]-NRT-code) [i]
141Linear OOA(6478, 512, F64, 2, 50) (dual of [(512, 2), 946, 51]-NRT-code) [i]
142Linear OOA(6477, 512, F64, 2, 49) (dual of [(512, 2), 947, 50]-NRT-code) [i]
143Linear OOA(6476, 512, F64, 2, 48) (dual of [(512, 2), 948, 49]-NRT-code) [i]
144Linear OOA(6475, 512, F64, 2, 47) (dual of [(512, 2), 949, 48]-NRT-code) [i]
145Linear OOA(6474, 512, F64, 2, 46) (dual of [(512, 2), 950, 47]-NRT-code) [i]
146Linear OOA(6473, 512, F64, 2, 45) (dual of [(512, 2), 951, 46]-NRT-code) [i]
147Linear OOA(6472, 512, F64, 2, 44) (dual of [(512, 2), 952, 45]-NRT-code) [i]
148Linear OOA(6471, 512, F64, 2, 43) (dual of [(512, 2), 953, 44]-NRT-code) [i]
149Linear OOA(6470, 512, F64, 2, 42) (dual of [(512, 2), 954, 43]-NRT-code) [i]
150Linear OOA(6469, 512, F64, 2, 41) (dual of [(512, 2), 955, 42]-NRT-code) [i]
151Linear OOA(6468, 512, F64, 2, 40) (dual of [(512, 2), 956, 41]-NRT-code) [i]
152Linear OOA(6467, 512, F64, 2, 39) (dual of [(512, 2), 957, 40]-NRT-code) [i]
153Linear OOA(6466, 512, F64, 2, 38) (dual of [(512, 2), 958, 39]-NRT-code) [i]
154Linear OOA(6465, 512, F64, 2, 37) (dual of [(512, 2), 959, 38]-NRT-code) [i]
155Linear OOA(6464, 512, F64, 2, 36) (dual of [(512, 2), 960, 37]-NRT-code) [i]
156Linear OOA(6463, 512, F64, 2, 35) (dual of [(512, 2), 961, 36]-NRT-code) [i]
157Linear OOA(6462, 512, F64, 2, 34) (dual of [(512, 2), 962, 35]-NRT-code) [i]
158Linear OOA(6461, 512, F64, 2, 33) (dual of [(512, 2), 963, 34]-NRT-code) [i]
159Linear OOA(6460, 512, F64, 2, 32) (dual of [(512, 2), 964, 33]-NRT-code) [i]
160Linear OOA(6459, 512, F64, 2, 31) (dual of [(512, 2), 965, 32]-NRT-code) [i]
161Linear OOA(6458, 512, F64, 2, 30) (dual of [(512, 2), 966, 31]-NRT-code) [i]
162Linear OOA(6487, 512, F64, 3, 59) (dual of [(512, 3), 1449, 60]-NRT-code) [i]
163Linear OOA(6482, 512, F64, 3, 54) (dual of [(512, 3), 1454, 55]-NRT-code) [i]
164Linear OOA(6486, 512, F64, 3, 58) (dual of [(512, 3), 1450, 59]-NRT-code) [i]
165Linear OOA(6481, 512, F64, 3, 53) (dual of [(512, 3), 1455, 54]-NRT-code) [i]
166Linear OOA(6485, 512, F64, 3, 57) (dual of [(512, 3), 1451, 58]-NRT-code) [i]
167Linear OOA(6480, 512, F64, 3, 52) (dual of [(512, 3), 1456, 53]-NRT-code) [i]
168Linear OOA(6484, 512, F64, 3, 56) (dual of [(512, 3), 1452, 57]-NRT-code) [i]
169Linear OOA(6479, 512, F64, 3, 51) (dual of [(512, 3), 1457, 52]-NRT-code) [i]
170Linear OOA(6483, 512, F64, 3, 55) (dual of [(512, 3), 1453, 56]-NRT-code) [i]
171Linear OOA(6478, 512, F64, 3, 50) (dual of [(512, 3), 1458, 51]-NRT-code) [i]
172Linear OOA(6477, 512, F64, 3, 49) (dual of [(512, 3), 1459, 50]-NRT-code) [i]
173Linear OOA(6476, 512, F64, 3, 48) (dual of [(512, 3), 1460, 49]-NRT-code) [i]
174Linear OOA(6475, 512, F64, 3, 47) (dual of [(512, 3), 1461, 48]-NRT-code) [i]
175Linear OOA(6474, 512, F64, 3, 46) (dual of [(512, 3), 1462, 47]-NRT-code) [i]
176Linear OOA(6473, 512, F64, 3, 45) (dual of [(512, 3), 1463, 46]-NRT-code) [i]
177Linear OOA(6472, 512, F64, 3, 44) (dual of [(512, 3), 1464, 45]-NRT-code) [i]
178Linear OOA(6471, 512, F64, 3, 43) (dual of [(512, 3), 1465, 44]-NRT-code) [i]
179Linear OOA(6470, 512, F64, 3, 42) (dual of [(512, 3), 1466, 43]-NRT-code) [i]
180Linear OOA(6469, 512, F64, 3, 41) (dual of [(512, 3), 1467, 42]-NRT-code) [i]
181Linear OOA(6468, 512, F64, 3, 40) (dual of [(512, 3), 1468, 41]-NRT-code) [i]
182Linear OOA(6467, 512, F64, 3, 39) (dual of [(512, 3), 1469, 40]-NRT-code) [i]
183Linear OOA(6466, 512, F64, 3, 38) (dual of [(512, 3), 1470, 39]-NRT-code) [i]
184Linear OOA(6465, 512, F64, 3, 37) (dual of [(512, 3), 1471, 38]-NRT-code) [i]
185Linear OOA(6464, 512, F64, 3, 36) (dual of [(512, 3), 1472, 37]-NRT-code) [i]
186Linear OOA(6463, 512, F64, 3, 35) (dual of [(512, 3), 1473, 36]-NRT-code) [i]
187Linear OOA(6462, 512, F64, 3, 34) (dual of [(512, 3), 1474, 35]-NRT-code) [i]
188Linear OOA(6461, 512, F64, 3, 33) (dual of [(512, 3), 1475, 34]-NRT-code) [i]
189Linear OOA(6460, 512, F64, 3, 32) (dual of [(512, 3), 1476, 33]-NRT-code) [i]
190Linear OOA(6459, 512, F64, 3, 31) (dual of [(512, 3), 1477, 32]-NRT-code) [i]
191Linear OOA(6458, 512, F64, 3, 30) (dual of [(512, 3), 1478, 31]-NRT-code) [i]
192Linear OOA(6457, 512, F64, 3, 29) (dual of [(512, 3), 1479, 30]-NRT-code) [i]