Information on Result #600337

Function Field F/F256 with g(F) = 24 and N(F) ≥ 1025, using K1,2 from the tower of function fields by Niederreiter and Xing based on the tower by García and Stichtenoth over F256

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 (24, 1024)-sequence over F256 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(25657, 1025, F256, 33) (dual of [1025, 968, 34]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(25658, 1025, F256, 34) (dual of [1025, 967, 35]-code) [i]
4Linear OA(25659, 1025, F256, 35) (dual of [1025, 966, 36]-code) [i]
5Linear OA(25660, 1025, F256, 36) (dual of [1025, 965, 37]-code) [i]
6Linear OA(25661, 1025, F256, 37) (dual of [1025, 964, 38]-code) [i]
7Linear OA(25662, 1025, F256, 38) (dual of [1025, 963, 39]-code) [i]
8Linear OA(25663, 1025, F256, 39) (dual of [1025, 962, 40]-code) [i]
9Linear OA(25664, 1025, F256, 40) (dual of [1025, 961, 41]-code) [i]
10Linear OA(25665, 1025, F256, 41) (dual of [1025, 960, 42]-code) [i]
11Linear OA(25666, 1025, F256, 42) (dual of [1025, 959, 43]-code) [i]
12Linear OA(25667, 1025, F256, 43) (dual of [1025, 958, 44]-code) [i]
13Linear OA(25668, 1025, F256, 44) (dual of [1025, 957, 45]-code) [i]
14Linear OOA(25652, 1025, F256, 2, 28) (dual of [(1025, 2), 1998, 29]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
15Linear OOA(25653, 1025, F256, 2, 29) (dual of [(1025, 2), 1997, 30]-NRT-code) [i]
16Linear OOA(25654, 1025, F256, 2, 30) (dual of [(1025, 2), 1996, 31]-NRT-code) [i]
17Linear OOA(25655, 1025, F256, 2, 31) (dual of [(1025, 2), 1995, 32]-NRT-code) [i]
18Linear OOA(25656, 1025, F256, 2, 32) (dual of [(1025, 2), 1994, 33]-NRT-code) [i]
19Linear OOA(25657, 1025, F256, 2, 33) (dual of [(1025, 2), 1993, 34]-NRT-code) [i]
20Linear OOA(25658, 1025, F256, 2, 34) (dual of [(1025, 2), 1992, 35]-NRT-code) [i]
21Linear OOA(25659, 1025, F256, 2, 35) (dual of [(1025, 2), 1991, 36]-NRT-code) [i]
22Linear OOA(25660, 1025, F256, 2, 36) (dual of [(1025, 2), 1990, 37]-NRT-code) [i]
23Linear OOA(25661, 1025, F256, 2, 37) (dual of [(1025, 2), 1989, 38]-NRT-code) [i]
24Linear OOA(25662, 1025, F256, 2, 38) (dual of [(1025, 2), 1988, 39]-NRT-code) [i]
25Linear OOA(25663, 1025, F256, 2, 39) (dual of [(1025, 2), 1987, 40]-NRT-code) [i]
26Linear OOA(25664, 1025, F256, 2, 40) (dual of [(1025, 2), 1986, 41]-NRT-code) [i]
27Linear OOA(25665, 1025, F256, 2, 41) (dual of [(1025, 2), 1985, 42]-NRT-code) [i]
28Linear OOA(25666, 1025, F256, 2, 42) (dual of [(1025, 2), 1984, 43]-NRT-code) [i]
29Linear OOA(25667, 1025, F256, 2, 43) (dual of [(1025, 2), 1983, 44]-NRT-code) [i]
30Linear OOA(25668, 1025, F256, 2, 44) (dual of [(1025, 2), 1982, 45]-NRT-code) [i]
31Linear OOA(25652, 1025, F256, 3, 28) (dual of [(1025, 3), 3023, 29]-NRT-code) [i]
32Linear OOA(25653, 1025, F256, 3, 29) (dual of [(1025, 3), 3022, 30]-NRT-code) [i]
33Linear OOA(25654, 1025, F256, 3, 30) (dual of [(1025, 3), 3021, 31]-NRT-code) [i]
34Linear OOA(25655, 1025, F256, 3, 31) (dual of [(1025, 3), 3020, 32]-NRT-code) [i]
35Linear OOA(25656, 1025, F256, 3, 32) (dual of [(1025, 3), 3019, 33]-NRT-code) [i]
36Linear OOA(25657, 1025, F256, 3, 33) (dual of [(1025, 3), 3018, 34]-NRT-code) [i]
37Linear OOA(25658, 1025, F256, 3, 34) (dual of [(1025, 3), 3017, 35]-NRT-code) [i]
38Linear OOA(25659, 1025, F256, 3, 35) (dual of [(1025, 3), 3016, 36]-NRT-code) [i]
39Linear OOA(25660, 1025, F256, 3, 36) (dual of [(1025, 3), 3015, 37]-NRT-code) [i]
40Linear OOA(25661, 1025, F256, 3, 37) (dual of [(1025, 3), 3014, 38]-NRT-code) [i]
41Linear OOA(25662, 1025, F256, 3, 38) (dual of [(1025, 3), 3013, 39]-NRT-code) [i]
42Linear OOA(25663, 1025, F256, 3, 39) (dual of [(1025, 3), 3012, 40]-NRT-code) [i]
43Linear OOA(25664, 1025, F256, 3, 40) (dual of [(1025, 3), 3011, 41]-NRT-code) [i]
44Linear OOA(25665, 1025, F256, 3, 41) (dual of [(1025, 3), 3010, 42]-NRT-code) [i]
45Linear OOA(25666, 1025, F256, 3, 42) (dual of [(1025, 3), 3009, 43]-NRT-code) [i]
46Linear OOA(25667, 1025, F256, 3, 43) (dual of [(1025, 3), 3008, 44]-NRT-code) [i]
47Linear OOA(25668, 1025, F256, 3, 44) (dual of [(1025, 3), 3007, 45]-NRT-code) [i]
48Linear OOA(25652, 1025, F256, 4, 28) (dual of [(1025, 4), 4048, 29]-NRT-code) [i]
49Linear OOA(25653, 1025, F256, 4, 29) (dual of [(1025, 4), 4047, 30]-NRT-code) [i]
50Linear OOA(25654, 1025, F256, 4, 30) (dual of [(1025, 4), 4046, 31]-NRT-code) [i]
51Linear OOA(25655, 1025, F256, 4, 31) (dual of [(1025, 4), 4045, 32]-NRT-code) [i]
52Linear OOA(25656, 1025, F256, 4, 32) (dual of [(1025, 4), 4044, 33]-NRT-code) [i]
53Linear OOA(25657, 1025, F256, 4, 33) (dual of [(1025, 4), 4043, 34]-NRT-code) [i]
54Linear OOA(25658, 1025, F256, 4, 34) (dual of [(1025, 4), 4042, 35]-NRT-code) [i]
55Linear OOA(25659, 1025, F256, 4, 35) (dual of [(1025, 4), 4041, 36]-NRT-code) [i]
56Linear OOA(25660, 1025, F256, 4, 36) (dual of [(1025, 4), 4040, 37]-NRT-code) [i]
57Linear OOA(25661, 1025, F256, 4, 37) (dual of [(1025, 4), 4039, 38]-NRT-code) [i]
58Linear OOA(25662, 1025, F256, 4, 38) (dual of [(1025, 4), 4038, 39]-NRT-code) [i]
59Linear OOA(25663, 1025, F256, 4, 39) (dual of [(1025, 4), 4037, 40]-NRT-code) [i]
60Linear OOA(25664, 1025, F256, 4, 40) (dual of [(1025, 4), 4036, 41]-NRT-code) [i]
61Linear OOA(25665, 1025, F256, 4, 41) (dual of [(1025, 4), 4035, 42]-NRT-code) [i]
62Linear OOA(25666, 1025, F256, 4, 42) (dual of [(1025, 4), 4034, 43]-NRT-code) [i]
63Linear OOA(25667, 1025, F256, 4, 43) (dual of [(1025, 4), 4033, 44]-NRT-code) [i]
64Linear OOA(25668, 1025, F256, 4, 44) (dual of [(1025, 4), 4032, 45]-NRT-code) [i]
65Linear OOA(25652, 1025, F256, 5, 28) (dual of [(1025, 5), 5073, 29]-NRT-code) [i]
66Linear OOA(25653, 1025, F256, 5, 29) (dual of [(1025, 5), 5072, 30]-NRT-code) [i]
67Linear OOA(25654, 1025, F256, 5, 30) (dual of [(1025, 5), 5071, 31]-NRT-code) [i]
68Linear OOA(25655, 1025, F256, 5, 31) (dual of [(1025, 5), 5070, 32]-NRT-code) [i]
69Linear OOA(25656, 1025, F256, 5, 32) (dual of [(1025, 5), 5069, 33]-NRT-code) [i]
70Linear OOA(25657, 1025, F256, 5, 33) (dual of [(1025, 5), 5068, 34]-NRT-code) [i]
71Linear OOA(25658, 1025, F256, 5, 34) (dual of [(1025, 5), 5067, 35]-NRT-code) [i]
72Linear OOA(25659, 1025, F256, 5, 35) (dual of [(1025, 5), 5066, 36]-NRT-code) [i]
73Linear OOA(25660, 1025, F256, 5, 36) (dual of [(1025, 5), 5065, 37]-NRT-code) [i]
74Linear OOA(25661, 1025, F256, 5, 37) (dual of [(1025, 5), 5064, 38]-NRT-code) [i]
75Linear OOA(25662, 1025, F256, 5, 38) (dual of [(1025, 5), 5063, 39]-NRT-code) [i]
76Linear OOA(25663, 1025, F256, 5, 39) (dual of [(1025, 5), 5062, 40]-NRT-code) [i]
77Linear OOA(25664, 1025, F256, 5, 40) (dual of [(1025, 5), 5061, 41]-NRT-code) [i]
78Linear OOA(25665, 1025, F256, 5, 41) (dual of [(1025, 5), 5060, 42]-NRT-code) [i]
79Linear OOA(25666, 1025, F256, 5, 42) (dual of [(1025, 5), 5059, 43]-NRT-code) [i]
80Linear OOA(25667, 1025, F256, 5, 43) (dual of [(1025, 5), 5058, 44]-NRT-code) [i]
81Linear OOA(25668, 1025, F256, 5, 44) (dual of [(1025, 5), 5057, 45]-NRT-code) [i]
82Linear OOA(25652, 1025, F256, 6, 28) (dual of [(1025, 6), 6098, 29]-NRT-code) [i]
83Linear OOA(25653, 1025, F256, 6, 29) (dual of [(1025, 6), 6097, 30]-NRT-code) [i]
84Linear OOA(25654, 1025, F256, 6, 30) (dual of [(1025, 6), 6096, 31]-NRT-code) [i]
85Linear OOA(25655, 1025, F256, 6, 31) (dual of [(1025, 6), 6095, 32]-NRT-code) [i]
86Linear OOA(25656, 1025, F256, 6, 32) (dual of [(1025, 6), 6094, 33]-NRT-code) [i]
87Linear OOA(25657, 1025, F256, 6, 33) (dual of [(1025, 6), 6093, 34]-NRT-code) [i]
88Linear OOA(25658, 1025, F256, 6, 34) (dual of [(1025, 6), 6092, 35]-NRT-code) [i]
89Linear OOA(25659, 1025, F256, 6, 35) (dual of [(1025, 6), 6091, 36]-NRT-code) [i]
90Linear OOA(25660, 1025, F256, 6, 36) (dual of [(1025, 6), 6090, 37]-NRT-code) [i]
91Linear OOA(25661, 1025, F256, 6, 37) (dual of [(1025, 6), 6089, 38]-NRT-code) [i]
92Linear OOA(25662, 1025, F256, 6, 38) (dual of [(1025, 6), 6088, 39]-NRT-code) [i]
93Linear OOA(25663, 1025, F256, 6, 39) (dual of [(1025, 6), 6087, 40]-NRT-code) [i]
94Linear OOA(25664, 1025, F256, 6, 40) (dual of [(1025, 6), 6086, 41]-NRT-code) [i]
95Linear OOA(25665, 1025, F256, 6, 41) (dual of [(1025, 6), 6085, 42]-NRT-code) [i]
96Linear OOA(25666, 1025, F256, 6, 42) (dual of [(1025, 6), 6084, 43]-NRT-code) [i]
97Linear OOA(25667, 1025, F256, 6, 43) (dual of [(1025, 6), 6083, 44]-NRT-code) [i]
98Linear OOA(25668, 1025, F256, 6, 44) (dual of [(1025, 6), 6082, 45]-NRT-code) [i]
99Linear OA(25667, 1024, F256, 43) (dual of [1024, 957, 44]-code) [i]Algebraic-Geometric Codes
100Linear OA(25665, 1024, F256, 41) (dual of [1024, 959, 42]-code) [i]
101Linear OA(25666, 1024, F256, 42) (dual of [1024, 958, 43]-code) [i]
102Linear OA(25664, 1024, F256, 40) (dual of [1024, 960, 41]-code) [i]
103Linear OA(25663, 1024, F256, 39) (dual of [1024, 961, 40]-code) [i]
104Linear OA(25662, 1024, F256, 38) (dual of [1024, 962, 39]-code) [i]
105Linear OA(25661, 1024, F256, 37) (dual of [1024, 963, 38]-code) [i]
106Linear OA(25660, 1024, F256, 36) (dual of [1024, 964, 37]-code) [i]
107Linear OA(25659, 1024, F256, 35) (dual of [1024, 965, 36]-code) [i]
108Linear OA(25658, 1024, F256, 34) (dual of [1024, 966, 35]-code) [i]
109Linear OA(25657, 1024, F256, 33) (dual of [1024, 967, 34]-code) [i]
110Linear OOA(25665, 1024, F256, 2, 41) (dual of [(1024, 2), 1983, 42]-NRT-code) [i]Algebraic-Geometric NRT-Codes
111Linear OOA(25661, 1024, F256, 2, 37) (dual of [(1024, 2), 1987, 38]-NRT-code) [i]
112Linear OOA(25664, 1024, F256, 2, 40) (dual of [(1024, 2), 1984, 41]-NRT-code) [i]
113Linear OOA(25660, 1024, F256, 2, 36) (dual of [(1024, 2), 1988, 37]-NRT-code) [i]
114Linear OOA(25663, 1024, F256, 2, 39) (dual of [(1024, 2), 1985, 40]-NRT-code) [i]
115Linear OOA(25659, 1024, F256, 2, 35) (dual of [(1024, 2), 1989, 36]-NRT-code) [i]