Information on Result #600234

Function Field F/F16 with g(F) = 40 and N(F) ≥ 225, using a function field by García and Quoos

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 (40, 224)-sequence over F16 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(1697, 225, F16, 57) (dual of [225, 128, 58]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(1698, 225, F16, 58) (dual of [225, 127, 59]-code) [i]
4Linear OA(1699, 225, F16, 59) (dual of [225, 126, 60]-code) [i]
5Linear OA(16100, 225, F16, 60) (dual of [225, 125, 61]-code) [i]
6Linear OA(16101, 225, F16, 61) (dual of [225, 124, 62]-code) [i]
7Linear OA(16102, 225, F16, 62) (dual of [225, 123, 63]-code) [i]
8Linear OA(16103, 225, F16, 63) (dual of [225, 122, 64]-code) [i]
9Linear OA(16104, 225, F16, 64) (dual of [225, 121, 65]-code) [i]
10Linear OA(16105, 225, F16, 65) (dual of [225, 120, 66]-code) [i]
11Linear OA(16106, 225, F16, 66) (dual of [225, 119, 67]-code) [i]
12Linear OA(16107, 225, F16, 67) (dual of [225, 118, 68]-code) [i]
13Linear OA(16108, 225, F16, 68) (dual of [225, 117, 69]-code) [i]
14Linear OA(16109, 225, F16, 69) (dual of [225, 116, 70]-code) [i]
15Linear OA(16110, 225, F16, 70) (dual of [225, 115, 71]-code) [i]
16Linear OA(16111, 225, F16, 71) (dual of [225, 114, 72]-code) [i]
17Linear OA(16112, 225, F16, 72) (dual of [225, 113, 73]-code) [i]
18Linear OA(16113, 225, F16, 73) (dual of [225, 112, 74]-code) [i]
19Linear OA(16114, 225, F16, 74) (dual of [225, 111, 75]-code) [i]
20Linear OA(16115, 225, F16, 75) (dual of [225, 110, 76]-code) [i]
21Linear OA(16116, 225, F16, 76) (dual of [225, 109, 77]-code) [i]
22Linear OA(16117, 225, F16, 77) (dual of [225, 108, 78]-code) [i]
23Linear OA(16118, 225, F16, 78) (dual of [225, 107, 79]-code) [i]
24Linear OA(16119, 225, F16, 79) (dual of [225, 106, 80]-code) [i]
25Linear OA(16120, 225, F16, 80) (dual of [225, 105, 81]-code) [i]
26Linear OA(16121, 225, F16, 81) (dual of [225, 104, 82]-code) [i]
27Linear OA(16122, 225, F16, 82) (dual of [225, 103, 83]-code) [i]
28Linear OA(16123, 225, F16, 83) (dual of [225, 102, 84]-code) [i]
29Linear OA(16124, 225, F16, 84) (dual of [225, 101, 85]-code) [i]
30Linear OA(16125, 225, F16, 85) (dual of [225, 100, 86]-code) [i]
31Linear OA(16126, 225, F16, 86) (dual of [225, 99, 87]-code) [i]
32Linear OA(16127, 225, F16, 87) (dual of [225, 98, 88]-code) [i]
33Linear OA(16128, 225, F16, 88) (dual of [225, 97, 89]-code) [i]
34Linear OA(16129, 225, F16, 89) (dual of [225, 96, 90]-code) [i]
35Linear OA(16130, 225, F16, 90) (dual of [225, 95, 91]-code) [i]
36Linear OOA(1681, 225, F16, 2, 41) (dual of [(225, 2), 369, 42]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
37Linear OOA(1682, 225, F16, 2, 42) (dual of [(225, 2), 368, 43]-NRT-code) [i]
38Linear OOA(1683, 225, F16, 2, 43) (dual of [(225, 2), 367, 44]-NRT-code) [i]
39Linear OOA(1684, 225, F16, 2, 44) (dual of [(225, 2), 366, 45]-NRT-code) [i]
40Linear OOA(1685, 225, F16, 2, 45) (dual of [(225, 2), 365, 46]-NRT-code) [i]
41Linear OOA(1686, 225, F16, 2, 46) (dual of [(225, 2), 364, 47]-NRT-code) [i]
42Linear OOA(1687, 225, F16, 2, 47) (dual of [(225, 2), 363, 48]-NRT-code) [i]
43Linear OOA(1688, 225, F16, 2, 48) (dual of [(225, 2), 362, 49]-NRT-code) [i]
44Linear OOA(1689, 225, F16, 2, 49) (dual of [(225, 2), 361, 50]-NRT-code) [i]
45Linear OOA(1690, 225, F16, 2, 50) (dual of [(225, 2), 360, 51]-NRT-code) [i]
46Linear OOA(1691, 225, F16, 2, 51) (dual of [(225, 2), 359, 52]-NRT-code) [i]
47Linear OOA(1692, 225, F16, 2, 52) (dual of [(225, 2), 358, 53]-NRT-code) [i]
48Linear OOA(1693, 225, F16, 2, 53) (dual of [(225, 2), 357, 54]-NRT-code) [i]
49Linear OOA(1694, 225, F16, 2, 54) (dual of [(225, 2), 356, 55]-NRT-code) [i]
50Linear OOA(1695, 225, F16, 2, 55) (dual of [(225, 2), 355, 56]-NRT-code) [i]
51Linear OOA(1696, 225, F16, 2, 56) (dual of [(225, 2), 354, 57]-NRT-code) [i]
52Linear OOA(1697, 225, F16, 2, 57) (dual of [(225, 2), 353, 58]-NRT-code) [i]
53Linear OOA(1698, 225, F16, 2, 58) (dual of [(225, 2), 352, 59]-NRT-code) [i]
54Linear OOA(1699, 225, F16, 2, 59) (dual of [(225, 2), 351, 60]-NRT-code) [i]
55Linear OOA(16100, 225, F16, 2, 60) (dual of [(225, 2), 350, 61]-NRT-code) [i]
56Linear OOA(16101, 225, F16, 2, 61) (dual of [(225, 2), 349, 62]-NRT-code) [i]
57Linear OOA(16102, 225, F16, 2, 62) (dual of [(225, 2), 348, 63]-NRT-code) [i]
58Linear OOA(16103, 225, F16, 2, 63) (dual of [(225, 2), 347, 64]-NRT-code) [i]
59Linear OOA(16104, 225, F16, 2, 64) (dual of [(225, 2), 346, 65]-NRT-code) [i]
60Linear OOA(16105, 225, F16, 2, 65) (dual of [(225, 2), 345, 66]-NRT-code) [i]
61Linear OOA(16106, 225, F16, 2, 66) (dual of [(225, 2), 344, 67]-NRT-code) [i]
62Linear OOA(16107, 225, F16, 2, 67) (dual of [(225, 2), 343, 68]-NRT-code) [i]
63Linear OOA(16108, 225, F16, 2, 68) (dual of [(225, 2), 342, 69]-NRT-code) [i]
64Linear OOA(16109, 225, F16, 2, 69) (dual of [(225, 2), 341, 70]-NRT-code) [i]
65Linear OOA(16110, 225, F16, 2, 70) (dual of [(225, 2), 340, 71]-NRT-code) [i]
66Linear OOA(16111, 225, F16, 2, 71) (dual of [(225, 2), 339, 72]-NRT-code) [i]
67Linear OOA(16112, 225, F16, 2, 72) (dual of [(225, 2), 338, 73]-NRT-code) [i]
68Linear OOA(16113, 225, F16, 2, 73) (dual of [(225, 2), 337, 74]-NRT-code) [i]
69Linear OOA(16114, 225, F16, 2, 74) (dual of [(225, 2), 336, 75]-NRT-code) [i]
70Linear OOA(16115, 225, F16, 2, 75) (dual of [(225, 2), 335, 76]-NRT-code) [i]
71Linear OOA(16116, 225, F16, 2, 76) (dual of [(225, 2), 334, 77]-NRT-code) [i]
72Linear OOA(16117, 225, F16, 2, 77) (dual of [(225, 2), 333, 78]-NRT-code) [i]
73Linear OOA(16118, 225, F16, 2, 78) (dual of [(225, 2), 332, 79]-NRT-code) [i]
74Linear OOA(16119, 225, F16, 2, 79) (dual of [(225, 2), 331, 80]-NRT-code) [i]
75Linear OOA(16120, 225, F16, 2, 80) (dual of [(225, 2), 330, 81]-NRT-code) [i]
76Linear OOA(16121, 225, F16, 2, 81) (dual of [(225, 2), 329, 82]-NRT-code) [i]
77Linear OOA(16122, 225, F16, 2, 82) (dual of [(225, 2), 328, 83]-NRT-code) [i]
78Linear OOA(16123, 225, F16, 2, 83) (dual of [(225, 2), 327, 84]-NRT-code) [i]
79Linear OOA(16124, 225, F16, 2, 84) (dual of [(225, 2), 326, 85]-NRT-code) [i]
80Linear OOA(16125, 225, F16, 2, 85) (dual of [(225, 2), 325, 86]-NRT-code) [i]
81Linear OOA(16126, 225, F16, 2, 86) (dual of [(225, 2), 324, 87]-NRT-code) [i]
82Linear OOA(16127, 225, F16, 2, 87) (dual of [(225, 2), 323, 88]-NRT-code) [i]
83Linear OOA(16128, 225, F16, 2, 88) (dual of [(225, 2), 322, 89]-NRT-code) [i]
84Linear OOA(16129, 225, F16, 2, 89) (dual of [(225, 2), 321, 90]-NRT-code) [i]
85Linear OOA(16130, 225, F16, 2, 90) (dual of [(225, 2), 320, 91]-NRT-code) [i]
86Linear OA(16129, 224, F16, 89) (dual of [224, 95, 90]-code) [i]Algebraic-Geometric Codes
87Linear OA(16127, 224, F16, 87) (dual of [224, 97, 88]-code) [i]
88Linear OA(16128, 224, F16, 88) (dual of [224, 96, 89]-code) [i]
89Linear OA(16126, 224, F16, 86) (dual of [224, 98, 87]-code) [i]
90Linear OA(16125, 224, F16, 85) (dual of [224, 99, 86]-code) [i]
91Linear OA(16124, 224, F16, 84) (dual of [224, 100, 85]-code) [i]
92Linear OA(16123, 224, F16, 83) (dual of [224, 101, 84]-code) [i]
93Linear OA(16122, 224, F16, 82) (dual of [224, 102, 83]-code) [i]
94Linear OA(16121, 224, F16, 81) (dual of [224, 103, 82]-code) [i]
95Linear OA(16120, 224, F16, 80) (dual of [224, 104, 81]-code) [i]
96Linear OA(16119, 224, F16, 79) (dual of [224, 105, 80]-code) [i]
97Linear OA(16118, 224, F16, 78) (dual of [224, 106, 79]-code) [i]
98Linear OA(16117, 224, F16, 77) (dual of [224, 107, 78]-code) [i]
99Linear OA(16116, 224, F16, 76) (dual of [224, 108, 77]-code) [i]
100Linear OA(16115, 224, F16, 75) (dual of [224, 109, 76]-code) [i]
101Linear OA(16114, 224, F16, 74) (dual of [224, 110, 75]-code) [i]
102Linear OA(16113, 224, F16, 73) (dual of [224, 111, 74]-code) [i]
103Linear OA(16112, 224, F16, 72) (dual of [224, 112, 73]-code) [i]
104Linear OA(16111, 224, F16, 71) (dual of [224, 113, 72]-code) [i]
105Linear OA(16110, 224, F16, 70) (dual of [224, 114, 71]-code) [i]
106Linear OA(16109, 224, F16, 69) (dual of [224, 115, 70]-code) [i]
107Linear OA(16108, 224, F16, 68) (dual of [224, 116, 69]-code) [i]
108Linear OA(16107, 224, F16, 67) (dual of [224, 117, 68]-code) [i]
109Linear OA(16106, 224, F16, 66) (dual of [224, 118, 67]-code) [i]
110Linear OA(16105, 224, F16, 65) (dual of [224, 119, 66]-code) [i]
111Linear OA(16104, 224, F16, 64) (dual of [224, 120, 65]-code) [i]
112Linear OA(16103, 224, F16, 63) (dual of [224, 121, 64]-code) [i]
113Linear OA(16102, 224, F16, 62) (dual of [224, 122, 63]-code) [i]
114Linear OA(16101, 224, F16, 61) (dual of [224, 123, 62]-code) [i]
115Linear OA(16100, 224, F16, 60) (dual of [224, 124, 61]-code) [i]
116Linear OA(1699, 224, F16, 59) (dual of [224, 125, 60]-code) [i]
117Linear OA(1698, 224, F16, 58) (dual of [224, 126, 59]-code) [i]
118Linear OA(1697, 224, F16, 57) (dual of [224, 127, 58]-code) [i]
119Linear OA(1696, 224, F16, 56) (dual of [224, 128, 57]-code) [i]
120Linear OOA(16127, 224, F16, 2, 87) (dual of [(224, 2), 321, 88]-NRT-code) [i]Algebraic-Geometric NRT-Codes
121Linear OOA(16123, 224, F16, 2, 83) (dual of [(224, 2), 325, 84]-NRT-code) [i]
122Linear OOA(16126, 224, F16, 2, 86) (dual of [(224, 2), 322, 87]-NRT-code) [i]
123Linear OOA(16122, 224, F16, 2, 82) (dual of [(224, 2), 326, 83]-NRT-code) [i]
124Linear OOA(16125, 224, F16, 2, 85) (dual of [(224, 2), 323, 86]-NRT-code) [i]
125Linear OOA(16121, 224, F16, 2, 81) (dual of [(224, 2), 327, 82]-NRT-code) [i]
126Linear OOA(16124, 224, F16, 2, 84) (dual of [(224, 2), 324, 85]-NRT-code) [i]
127Linear OOA(16120, 224, F16, 2, 80) (dual of [(224, 2), 328, 81]-NRT-code) [i]
128Linear OOA(16119, 224, F16, 2, 79) (dual of [(224, 2), 329, 80]-NRT-code) [i]
129Linear OOA(16118, 224, F16, 2, 78) (dual of [(224, 2), 330, 79]-NRT-code) [i]
130Linear OOA(16117, 224, F16, 2, 77) (dual of [(224, 2), 331, 78]-NRT-code) [i]
131Linear OOA(16116, 224, F16, 2, 76) (dual of [(224, 2), 332, 77]-NRT-code) [i]
132Linear OOA(16115, 224, F16, 2, 75) (dual of [(224, 2), 333, 76]-NRT-code) [i]
133Linear OOA(16114, 224, F16, 2, 74) (dual of [(224, 2), 334, 75]-NRT-code) [i]
134Linear OOA(16113, 224, F16, 2, 73) (dual of [(224, 2), 335, 74]-NRT-code) [i]
135Linear OOA(16112, 224, F16, 2, 72) (dual of [(224, 2), 336, 73]-NRT-code) [i]
136Linear OOA(16111, 224, F16, 2, 71) (dual of [(224, 2), 337, 72]-NRT-code) [i]
137Linear OOA(16110, 224, F16, 2, 70) (dual of [(224, 2), 338, 71]-NRT-code) [i]
138Linear OOA(16109, 224, F16, 2, 69) (dual of [(224, 2), 339, 70]-NRT-code) [i]
139Linear OOA(16108, 224, F16, 2, 68) (dual of [(224, 2), 340, 69]-NRT-code) [i]
140Linear OOA(16107, 224, F16, 2, 67) (dual of [(224, 2), 341, 68]-NRT-code) [i]
141Linear OOA(16106, 224, F16, 2, 66) (dual of [(224, 2), 342, 67]-NRT-code) [i]
142Linear OOA(16105, 224, F16, 2, 65) (dual of [(224, 2), 343, 66]-NRT-code) [i]
143Linear OOA(16104, 224, F16, 2, 64) (dual of [(224, 2), 344, 65]-NRT-code) [i]
144Linear OOA(16103, 224, F16, 2, 63) (dual of [(224, 2), 345, 64]-NRT-code) [i]
145Linear OOA(16102, 224, F16, 2, 62) (dual of [(224, 2), 346, 63]-NRT-code) [i]
146Linear OOA(16101, 224, F16, 2, 61) (dual of [(224, 2), 347, 62]-NRT-code) [i]
147Linear OOA(16100, 224, F16, 2, 60) (dual of [(224, 2), 348, 61]-NRT-code) [i]
148Linear OOA(1699, 224, F16, 2, 59) (dual of [(224, 2), 349, 60]-NRT-code) [i]
149Linear OOA(1698, 224, F16, 2, 58) (dual of [(224, 2), 350, 59]-NRT-code) [i]
150Linear OOA(1697, 224, F16, 2, 57) (dual of [(224, 2), 351, 58]-NRT-code) [i]
151Linear OOA(1696, 224, F16, 2, 56) (dual of [(224, 2), 352, 57]-NRT-code) [i]
152Linear OOA(1695, 224, F16, 2, 55) (dual of [(224, 2), 353, 56]-NRT-code) [i]
153Linear OOA(1694, 224, F16, 2, 54) (dual of [(224, 2), 354, 55]-NRT-code) [i]
154Linear OOA(1693, 224, F16, 2, 53) (dual of [(224, 2), 355, 54]-NRT-code) [i]
155Linear OOA(1692, 224, F16, 2, 52) (dual of [(224, 2), 356, 53]-NRT-code) [i]
156Linear OOA(1691, 224, F16, 2, 51) (dual of [(224, 2), 357, 52]-NRT-code) [i]
157Linear OOA(1690, 224, F16, 2, 50) (dual of [(224, 2), 358, 51]-NRT-code) [i]
158Linear OOA(1689, 224, F16, 2, 49) (dual of [(224, 2), 359, 50]-NRT-code) [i]
159Linear OOA(1688, 224, F16, 2, 48) (dual of [(224, 2), 360, 49]-NRT-code) [i]
160Linear OOA(1687, 224, F16, 2, 47) (dual of [(224, 2), 361, 48]-NRT-code) [i]
161Linear OOA(1686, 224, F16, 2, 46) (dual of [(224, 2), 362, 47]-NRT-code) [i]
162Linear OOA(1685, 224, F16, 2, 45) (dual of [(224, 2), 363, 46]-NRT-code) [i]
163Linear OOA(1684, 224, F16, 2, 44) (dual of [(224, 2), 364, 45]-NRT-code) [i]
164Linear OOA(1683, 224, F16, 2, 43) (dual of [(224, 2), 365, 44]-NRT-code) [i]
165Linear OOA(1682, 224, F16, 2, 42) (dual of [(224, 2), 366, 43]-NRT-code) [i]
166Linear OOA(1681, 224, F16, 2, 41) (dual of [(224, 2), 367, 42]-NRT-code) [i]