Information on Result #600813

Function Field F/F16 with g(F) = 45 and N(F) ≥ 242, 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 (45, 241)-sequence over F16 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(16116, 242, F16, 71) (dual of [242, 126, 72]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(16117, 242, F16, 72) (dual of [242, 125, 73]-code) [i]
4Linear OA(16118, 242, F16, 73) (dual of [242, 124, 74]-code) [i]
5Linear OA(16119, 242, F16, 74) (dual of [242, 123, 75]-code) [i]
6Linear OA(16120, 242, F16, 75) (dual of [242, 122, 76]-code) [i]
7Linear OA(16121, 242, F16, 76) (dual of [242, 121, 77]-code) [i]
8Linear OA(16122, 242, F16, 77) (dual of [242, 120, 78]-code) [i]
9Linear OA(16123, 242, F16, 78) (dual of [242, 119, 79]-code) [i]
10Linear OA(16124, 242, F16, 79) (dual of [242, 118, 80]-code) [i]
11Linear OA(16125, 242, F16, 80) (dual of [242, 117, 81]-code) [i]
12Linear OA(16126, 242, F16, 81) (dual of [242, 116, 82]-code) [i]
13Linear OA(16127, 242, F16, 82) (dual of [242, 115, 83]-code) [i]
14Linear OA(16128, 242, F16, 83) (dual of [242, 114, 84]-code) [i]
15Linear OA(16129, 242, F16, 84) (dual of [242, 113, 85]-code) [i]
16Linear OA(16130, 242, F16, 85) (dual of [242, 112, 86]-code) [i]
17Linear OOA(1692, 242, F16, 2, 47) (dual of [(242, 2), 392, 48]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
18Linear OOA(1693, 242, F16, 2, 48) (dual of [(242, 2), 391, 49]-NRT-code) [i]
19Linear OOA(1694, 242, F16, 2, 49) (dual of [(242, 2), 390, 50]-NRT-code) [i]
20Linear OOA(1695, 242, F16, 2, 50) (dual of [(242, 2), 389, 51]-NRT-code) [i]
21Linear OOA(1696, 242, F16, 2, 51) (dual of [(242, 2), 388, 52]-NRT-code) [i]
22Linear OOA(1697, 242, F16, 2, 52) (dual of [(242, 2), 387, 53]-NRT-code) [i]
23Linear OOA(1698, 242, F16, 2, 53) (dual of [(242, 2), 386, 54]-NRT-code) [i]
24Linear OOA(1699, 242, F16, 2, 54) (dual of [(242, 2), 385, 55]-NRT-code) [i]
25Linear OOA(16100, 242, F16, 2, 55) (dual of [(242, 2), 384, 56]-NRT-code) [i]
26Linear OOA(16101, 242, F16, 2, 56) (dual of [(242, 2), 383, 57]-NRT-code) [i]
27Linear OOA(16102, 242, F16, 2, 57) (dual of [(242, 2), 382, 58]-NRT-code) [i]
28Linear OOA(16103, 242, F16, 2, 58) (dual of [(242, 2), 381, 59]-NRT-code) [i]
29Linear OOA(16104, 242, F16, 2, 59) (dual of [(242, 2), 380, 60]-NRT-code) [i]
30Linear OOA(16105, 242, F16, 2, 60) (dual of [(242, 2), 379, 61]-NRT-code) [i]
31Linear OOA(16106, 242, F16, 2, 61) (dual of [(242, 2), 378, 62]-NRT-code) [i]
32Linear OOA(16107, 242, F16, 2, 62) (dual of [(242, 2), 377, 63]-NRT-code) [i]
33Linear OOA(16108, 242, F16, 2, 63) (dual of [(242, 2), 376, 64]-NRT-code) [i]
34Linear OOA(16109, 242, F16, 2, 64) (dual of [(242, 2), 375, 65]-NRT-code) [i]
35Linear OOA(16110, 242, F16, 2, 65) (dual of [(242, 2), 374, 66]-NRT-code) [i]
36Linear OOA(16111, 242, F16, 2, 66) (dual of [(242, 2), 373, 67]-NRT-code) [i]
37Linear OOA(16112, 242, F16, 2, 67) (dual of [(242, 2), 372, 68]-NRT-code) [i]
38Linear OOA(16113, 242, F16, 2, 68) (dual of [(242, 2), 371, 69]-NRT-code) [i]
39Linear OOA(16114, 242, F16, 2, 69) (dual of [(242, 2), 370, 70]-NRT-code) [i]
40Linear OOA(16115, 242, F16, 2, 70) (dual of [(242, 2), 369, 71]-NRT-code) [i]
41Linear OOA(16116, 242, F16, 2, 71) (dual of [(242, 2), 368, 72]-NRT-code) [i]
42Linear OOA(16117, 242, F16, 2, 72) (dual of [(242, 2), 367, 73]-NRT-code) [i]
43Linear OOA(16118, 242, F16, 2, 73) (dual of [(242, 2), 366, 74]-NRT-code) [i]
44Linear OOA(16119, 242, F16, 2, 74) (dual of [(242, 2), 365, 75]-NRT-code) [i]
45Linear OOA(16120, 242, F16, 2, 75) (dual of [(242, 2), 364, 76]-NRT-code) [i]
46Linear OOA(16121, 242, F16, 2, 76) (dual of [(242, 2), 363, 77]-NRT-code) [i]
47Linear OOA(16122, 242, F16, 2, 77) (dual of [(242, 2), 362, 78]-NRT-code) [i]
48Linear OOA(16123, 242, F16, 2, 78) (dual of [(242, 2), 361, 79]-NRT-code) [i]
49Linear OOA(16124, 242, F16, 2, 79) (dual of [(242, 2), 360, 80]-NRT-code) [i]
50Linear OOA(16125, 242, F16, 2, 80) (dual of [(242, 2), 359, 81]-NRT-code) [i]
51Linear OOA(16126, 242, F16, 2, 81) (dual of [(242, 2), 358, 82]-NRT-code) [i]
52Linear OOA(16127, 242, F16, 2, 82) (dual of [(242, 2), 357, 83]-NRT-code) [i]
53Linear OOA(16128, 242, F16, 2, 83) (dual of [(242, 2), 356, 84]-NRT-code) [i]
54Linear OOA(16129, 242, F16, 2, 84) (dual of [(242, 2), 355, 85]-NRT-code) [i]
55Linear OOA(16130, 242, F16, 2, 85) (dual of [(242, 2), 354, 86]-NRT-code) [i]
56Linear OA(16129, 241, F16, 84) (dual of [241, 112, 85]-code) [i]Algebraic-Geometric Codes
57Linear OA(16127, 241, F16, 82) (dual of [241, 114, 83]-code) [i]
58Linear OA(16128, 241, F16, 83) (dual of [241, 113, 84]-code) [i]
59Linear OA(16126, 241, F16, 81) (dual of [241, 115, 82]-code) [i]
60Linear OA(16125, 241, F16, 80) (dual of [241, 116, 81]-code) [i]
61Linear OA(16124, 241, F16, 79) (dual of [241, 117, 80]-code) [i]
62Linear OA(16123, 241, F16, 78) (dual of [241, 118, 79]-code) [i]
63Linear OA(16122, 241, F16, 77) (dual of [241, 119, 78]-code) [i]
64Linear OA(16121, 241, F16, 76) (dual of [241, 120, 77]-code) [i]
65Linear OA(16120, 241, F16, 75) (dual of [241, 121, 76]-code) [i]
66Linear OA(16119, 241, F16, 74) (dual of [241, 122, 75]-code) [i]
67Linear OA(16118, 241, F16, 73) (dual of [241, 123, 74]-code) [i]
68Linear OA(16117, 241, F16, 72) (dual of [241, 124, 73]-code) [i]
69Linear OA(16116, 241, F16, 71) (dual of [241, 125, 72]-code) [i]
70Linear OA(16115, 241, F16, 70) (dual of [241, 126, 71]-code) [i]
71Linear OOA(16126, 241, F16, 2, 81) (dual of [(241, 2), 356, 82]-NRT-code) [i]Algebraic-Geometric NRT-Codes
72Linear OOA(16121, 241, F16, 2, 76) (dual of [(241, 2), 361, 77]-NRT-code) [i]
73Linear OOA(16125, 241, F16, 2, 80) (dual of [(241, 2), 357, 81]-NRT-code) [i]
74Linear OOA(16120, 241, F16, 2, 75) (dual of [(241, 2), 362, 76]-NRT-code) [i]
75Linear OOA(16124, 241, F16, 2, 79) (dual of [(241, 2), 358, 80]-NRT-code) [i]
76Linear OOA(16119, 241, F16, 2, 74) (dual of [(241, 2), 363, 75]-NRT-code) [i]
77Linear OOA(16123, 241, F16, 2, 78) (dual of [(241, 2), 359, 79]-NRT-code) [i]
78Linear OOA(16118, 241, F16, 2, 73) (dual of [(241, 2), 364, 74]-NRT-code) [i]
79Linear OOA(16122, 241, F16, 2, 77) (dual of [(241, 2), 360, 78]-NRT-code) [i]
80Linear OOA(16117, 241, F16, 2, 72) (dual of [(241, 2), 365, 73]-NRT-code) [i]
81Linear OOA(16116, 241, F16, 2, 71) (dual of [(241, 2), 366, 72]-NRT-code) [i]
82Linear OOA(16115, 241, F16, 2, 70) (dual of [(241, 2), 367, 71]-NRT-code) [i]
83Linear OOA(16114, 241, F16, 2, 69) (dual of [(241, 2), 368, 70]-NRT-code) [i]
84Linear OOA(16113, 241, F16, 2, 68) (dual of [(241, 2), 369, 69]-NRT-code) [i]
85Linear OOA(16112, 241, F16, 2, 67) (dual of [(241, 2), 370, 68]-NRT-code) [i]
86Linear OOA(16111, 241, F16, 2, 66) (dual of [(241, 2), 371, 67]-NRT-code) [i]
87Linear OOA(16110, 241, F16, 2, 65) (dual of [(241, 2), 372, 66]-NRT-code) [i]
88Linear OOA(16109, 241, F16, 2, 64) (dual of [(241, 2), 373, 65]-NRT-code) [i]
89Linear OOA(16108, 241, F16, 2, 63) (dual of [(241, 2), 374, 64]-NRT-code) [i]
90Linear OOA(16107, 241, F16, 2, 62) (dual of [(241, 2), 375, 63]-NRT-code) [i]
91Linear OOA(16106, 241, F16, 2, 61) (dual of [(241, 2), 376, 62]-NRT-code) [i]
92Linear OOA(16105, 241, F16, 2, 60) (dual of [(241, 2), 377, 61]-NRT-code) [i]
93Linear OOA(16104, 241, F16, 2, 59) (dual of [(241, 2), 378, 60]-NRT-code) [i]
94Linear OOA(16103, 241, F16, 2, 58) (dual of [(241, 2), 379, 59]-NRT-code) [i]
95Linear OOA(16102, 241, F16, 2, 57) (dual of [(241, 2), 380, 58]-NRT-code) [i]
96Linear OOA(16101, 241, F16, 2, 56) (dual of [(241, 2), 381, 57]-NRT-code) [i]
97Linear OOA(16100, 241, F16, 2, 55) (dual of [(241, 2), 382, 56]-NRT-code) [i]