Information on Result #600815

Function Field F/F16 with g(F) = 50 and N(F) ≥ 255, 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 (50, 254)-sequence over F16 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(16126, 255, F16, 76) (dual of [255, 129, 77]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(16127, 255, F16, 77) (dual of [255, 128, 78]-code) [i]
4Linear OA(16128, 255, F16, 78) (dual of [255, 127, 79]-code) [i]
5Linear OA(16129, 255, F16, 79) (dual of [255, 126, 80]-code) [i]
6Linear OA(16130, 255, F16, 80) (dual of [255, 125, 81]-code) [i]
7Linear OOA(16102, 255, F16, 2, 52) (dual of [(255, 2), 408, 53]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
8Linear OOA(16103, 255, F16, 2, 53) (dual of [(255, 2), 407, 54]-NRT-code) [i]
9Linear OOA(16104, 255, F16, 2, 54) (dual of [(255, 2), 406, 55]-NRT-code) [i]
10Linear OOA(16105, 255, F16, 2, 55) (dual of [(255, 2), 405, 56]-NRT-code) [i]
11Linear OOA(16106, 255, F16, 2, 56) (dual of [(255, 2), 404, 57]-NRT-code) [i]
12Linear OOA(16107, 255, F16, 2, 57) (dual of [(255, 2), 403, 58]-NRT-code) [i]
13Linear OOA(16108, 255, F16, 2, 58) (dual of [(255, 2), 402, 59]-NRT-code) [i]
14Linear OOA(16109, 255, F16, 2, 59) (dual of [(255, 2), 401, 60]-NRT-code) [i]
15Linear OOA(16110, 255, F16, 2, 60) (dual of [(255, 2), 400, 61]-NRT-code) [i]
16Linear OOA(16111, 255, F16, 2, 61) (dual of [(255, 2), 399, 62]-NRT-code) [i]
17Linear OOA(16112, 255, F16, 2, 62) (dual of [(255, 2), 398, 63]-NRT-code) [i]
18Linear OOA(16113, 255, F16, 2, 63) (dual of [(255, 2), 397, 64]-NRT-code) [i]
19Linear OOA(16114, 255, F16, 2, 64) (dual of [(255, 2), 396, 65]-NRT-code) [i]
20Linear OOA(16115, 255, F16, 2, 65) (dual of [(255, 2), 395, 66]-NRT-code) [i]
21Linear OOA(16116, 255, F16, 2, 66) (dual of [(255, 2), 394, 67]-NRT-code) [i]
22Linear OOA(16117, 255, F16, 2, 67) (dual of [(255, 2), 393, 68]-NRT-code) [i]
23Linear OOA(16118, 255, F16, 2, 68) (dual of [(255, 2), 392, 69]-NRT-code) [i]
24Linear OOA(16119, 255, F16, 2, 69) (dual of [(255, 2), 391, 70]-NRT-code) [i]
25Linear OOA(16120, 255, F16, 2, 70) (dual of [(255, 2), 390, 71]-NRT-code) [i]
26Linear OOA(16121, 255, F16, 2, 71) (dual of [(255, 2), 389, 72]-NRT-code) [i]
27Linear OOA(16122, 255, F16, 2, 72) (dual of [(255, 2), 388, 73]-NRT-code) [i]
28Linear OOA(16123, 255, F16, 2, 73) (dual of [(255, 2), 387, 74]-NRT-code) [i]
29Linear OOA(16124, 255, F16, 2, 74) (dual of [(255, 2), 386, 75]-NRT-code) [i]
30Linear OOA(16125, 255, F16, 2, 75) (dual of [(255, 2), 385, 76]-NRT-code) [i]
31Linear OOA(16126, 255, F16, 2, 76) (dual of [(255, 2), 384, 77]-NRT-code) [i]
32Linear OOA(16127, 255, F16, 2, 77) (dual of [(255, 2), 383, 78]-NRT-code) [i]
33Linear OOA(16128, 255, F16, 2, 78) (dual of [(255, 2), 382, 79]-NRT-code) [i]
34Linear OOA(16129, 255, F16, 2, 79) (dual of [(255, 2), 381, 80]-NRT-code) [i]
35Linear OOA(16130, 255, F16, 2, 80) (dual of [(255, 2), 380, 81]-NRT-code) [i]
36Linear OA(16129, 254, F16, 79) (dual of [254, 125, 80]-code) [i]Algebraic-Geometric Codes
37Linear OA(16127, 254, F16, 77) (dual of [254, 127, 78]-code) [i]
38Linear OA(16128, 254, F16, 78) (dual of [254, 126, 79]-code) [i]
39Linear OA(16126, 254, F16, 76) (dual of [254, 128, 77]-code) [i]
40Linear OA(16125, 254, F16, 75) (dual of [254, 129, 76]-code) [i]
41Linear OOA(16127, 254, F16, 2, 77) (dual of [(254, 2), 381, 78]-NRT-code) [i]Algebraic-Geometric NRT-Codes
42Linear OOA(16123, 254, F16, 2, 73) (dual of [(254, 2), 385, 74]-NRT-code) [i]
43Linear OOA(16126, 254, F16, 2, 76) (dual of [(254, 2), 382, 77]-NRT-code) [i]
44Linear OOA(16122, 254, F16, 2, 72) (dual of [(254, 2), 386, 73]-NRT-code) [i]
45Linear OOA(16125, 254, F16, 2, 75) (dual of [(254, 2), 383, 76]-NRT-code) [i]
46Linear OOA(16121, 254, F16, 2, 71) (dual of [(254, 2), 387, 72]-NRT-code) [i]
47Linear OOA(16124, 254, F16, 2, 74) (dual of [(254, 2), 384, 75]-NRT-code) [i]
48Linear OOA(16120, 254, F16, 2, 70) (dual of [(254, 2), 388, 71]-NRT-code) [i]
49Linear OOA(16119, 254, F16, 2, 69) (dual of [(254, 2), 389, 70]-NRT-code) [i]
50Linear OOA(16118, 254, F16, 2, 68) (dual of [(254, 2), 390, 69]-NRT-code) [i]
51Linear OOA(16117, 254, F16, 2, 67) (dual of [(254, 2), 391, 68]-NRT-code) [i]
52Linear OOA(16116, 254, F16, 2, 66) (dual of [(254, 2), 392, 67]-NRT-code) [i]
53Linear OOA(16115, 254, F16, 2, 65) (dual of [(254, 2), 393, 66]-NRT-code) [i]
54Linear OOA(16114, 254, F16, 2, 64) (dual of [(254, 2), 394, 65]-NRT-code) [i]
55Linear OOA(16113, 254, F16, 2, 63) (dual of [(254, 2), 395, 64]-NRT-code) [i]
56Linear OOA(16112, 254, F16, 2, 62) (dual of [(254, 2), 396, 63]-NRT-code) [i]
57Linear OOA(16111, 254, F16, 2, 61) (dual of [(254, 2), 397, 62]-NRT-code) [i]