Information on Result #600277

Function Field F/F27 with g(F) = 6 and N(F) ≥ 76, using a function field by Sémirat

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 (6, 75)-sequence over F27 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(2716, 76, F27, 10) (dual of [76, 60, 11]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(2717, 76, F27, 11) (dual of [76, 59, 12]-code) [i]
4Linear OA(2718, 76, F27, 12) (dual of [76, 58, 13]-code) [i]
5Linear OA(2719, 76, F27, 13) (dual of [76, 57, 14]-code) [i]
6Linear OA(2720, 76, F27, 14) (dual of [76, 56, 15]-code) [i]
7Linear OA(2721, 76, F27, 15) (dual of [76, 55, 16]-code) [i]
8Linear OA(2722, 76, F27, 16) (dual of [76, 54, 17]-code) [i]
9Linear OA(2723, 76, F27, 17) (dual of [76, 53, 18]-code) [i]
10Linear OA(2724, 76, F27, 18) (dual of [76, 52, 19]-code) [i]
11Linear OA(2725, 76, F27, 19) (dual of [76, 51, 20]-code) [i]
12Linear OA(2726, 76, F27, 20) (dual of [76, 50, 21]-code) [i]
13Linear OA(2727, 76, F27, 21) (dual of [76, 49, 22]-code) [i]
14Linear OA(2728, 76, F27, 22) (dual of [76, 48, 23]-code) [i]
15Linear OA(2729, 76, F27, 23) (dual of [76, 47, 24]-code) [i]
16Linear OA(2730, 76, F27, 24) (dual of [76, 46, 25]-code) [i]
17Linear OA(2731, 76, F27, 25) (dual of [76, 45, 26]-code) [i]
18Linear OA(2732, 76, F27, 26) (dual of [76, 44, 27]-code) [i]
19Linear OA(2733, 76, F27, 27) (dual of [76, 43, 28]-code) [i]
20Linear OA(2734, 76, F27, 28) (dual of [76, 42, 29]-code) [i]
21Linear OA(2735, 76, F27, 29) (dual of [76, 41, 30]-code) [i]
22Linear OA(2736, 76, F27, 30) (dual of [76, 40, 31]-code) [i]
23Linear OA(2737, 76, F27, 31) (dual of [76, 39, 32]-code) [i]
24Linear OA(2738, 76, F27, 32) (dual of [76, 38, 33]-code) [i]
25Linear OA(2739, 76, F27, 33) (dual of [76, 37, 34]-code) [i]
26Linear OA(2740, 76, F27, 34) (dual of [76, 36, 35]-code) [i]
27Linear OA(2741, 76, F27, 35) (dual of [76, 35, 36]-code) [i]
28Linear OA(2742, 76, F27, 36) (dual of [76, 34, 37]-code) [i]
29Linear OA(2743, 76, F27, 37) (dual of [76, 33, 38]-code) [i]
30Linear OA(2744, 76, F27, 38) (dual of [76, 32, 39]-code) [i]
31Linear OA(2745, 76, F27, 39) (dual of [76, 31, 40]-code) [i]
32Linear OA(2746, 76, F27, 40) (dual of [76, 30, 41]-code) [i]
33Linear OA(2747, 76, F27, 41) (dual of [76, 29, 42]-code) [i]
34Linear OA(2748, 76, F27, 42) (dual of [76, 28, 43]-code) [i]
35Linear OA(2749, 76, F27, 43) (dual of [76, 27, 44]-code) [i]
36Linear OA(2750, 76, F27, 44) (dual of [76, 26, 45]-code) [i]
37Linear OA(2751, 76, F27, 45) (dual of [76, 25, 46]-code) [i]
38Linear OA(2752, 76, F27, 46) (dual of [76, 24, 47]-code) [i]
39Linear OA(2753, 76, F27, 47) (dual of [76, 23, 48]-code) [i]
40Linear OA(2754, 76, F27, 48) (dual of [76, 22, 49]-code) [i]
41Linear OA(2755, 76, F27, 49) (dual of [76, 21, 50]-code) [i]
42Linear OA(2756, 76, F27, 50) (dual of [76, 20, 51]-code) [i]
43Linear OA(2757, 76, F27, 51) (dual of [76, 19, 52]-code) [i]
44Linear OA(2758, 76, F27, 52) (dual of [76, 18, 53]-code) [i]
45Linear OA(2759, 76, F27, 53) (dual of [76, 17, 54]-code) [i]
46Linear OA(2760, 76, F27, 54) (dual of [76, 16, 55]-code) [i]
47Linear OA(2761, 76, F27, 55) (dual of [76, 15, 56]-code) [i]
48Linear OA(2762, 76, F27, 56) (dual of [76, 14, 57]-code) [i]
49Linear OA(2763, 76, F27, 57) (dual of [76, 13, 58]-code) [i]
50Linear OA(2764, 76, F27, 58) (dual of [76, 12, 59]-code) [i]
51Linear OA(2765, 76, F27, 59) (dual of [76, 11, 60]-code) [i]
52Linear OA(2766, 76, F27, 60) (dual of [76, 10, 61]-code) [i]
53Linear OA(2767, 76, F27, 61) (dual of [76, 9, 62]-code) [i]
54Linear OA(2768, 76, F27, 62) (dual of [76, 8, 63]-code) [i]
55Linear OA(2769, 76, F27, 63) (dual of [76, 7, 64]-code) [i]
56Linear OA(2770, 76, F27, 64) (dual of [76, 6, 65]-code) [i]
57Linear OA(2771, 76, F27, 65) (dual of [76, 5, 66]-code) [i]
58Linear OA(2772, 76, F27, 66) (dual of [76, 4, 67]-code) [i]
59Linear OOA(2715, 76, F27, 2, 9) (dual of [(76, 2), 137, 10]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
60Linear OOA(2716, 76, F27, 2, 10) (dual of [(76, 2), 136, 11]-NRT-code) [i]
61Linear OOA(2717, 76, F27, 2, 11) (dual of [(76, 2), 135, 12]-NRT-code) [i]
62Linear OOA(2718, 76, F27, 2, 12) (dual of [(76, 2), 134, 13]-NRT-code) [i]
63Linear OOA(2719, 76, F27, 2, 13) (dual of [(76, 2), 133, 14]-NRT-code) [i]
64Linear OOA(2720, 76, F27, 2, 14) (dual of [(76, 2), 132, 15]-NRT-code) [i]
65Linear OOA(2721, 76, F27, 2, 15) (dual of [(76, 2), 131, 16]-NRT-code) [i]
66Linear OOA(2722, 76, F27, 2, 16) (dual of [(76, 2), 130, 17]-NRT-code) [i]
67Linear OOA(2723, 76, F27, 2, 17) (dual of [(76, 2), 129, 18]-NRT-code) [i]
68Linear OOA(2724, 76, F27, 2, 18) (dual of [(76, 2), 128, 19]-NRT-code) [i]
69Linear OOA(2725, 76, F27, 2, 19) (dual of [(76, 2), 127, 20]-NRT-code) [i]
70Linear OOA(2726, 76, F27, 2, 20) (dual of [(76, 2), 126, 21]-NRT-code) [i]
71Linear OOA(2727, 76, F27, 2, 21) (dual of [(76, 2), 125, 22]-NRT-code) [i]
72Linear OOA(2728, 76, F27, 2, 22) (dual of [(76, 2), 124, 23]-NRT-code) [i]
73Linear OOA(2729, 76, F27, 2, 23) (dual of [(76, 2), 123, 24]-NRT-code) [i]
74Linear OOA(2730, 76, F27, 2, 24) (dual of [(76, 2), 122, 25]-NRT-code) [i]
75Linear OOA(2731, 76, F27, 2, 25) (dual of [(76, 2), 121, 26]-NRT-code) [i]
76Linear OOA(2732, 76, F27, 2, 26) (dual of [(76, 2), 120, 27]-NRT-code) [i]
77Linear OOA(2733, 76, F27, 2, 27) (dual of [(76, 2), 119, 28]-NRT-code) [i]
78Linear OOA(2734, 76, F27, 2, 28) (dual of [(76, 2), 118, 29]-NRT-code) [i]
79Linear OOA(2735, 76, F27, 2, 29) (dual of [(76, 2), 117, 30]-NRT-code) [i]
80Linear OOA(2736, 76, F27, 2, 30) (dual of [(76, 2), 116, 31]-NRT-code) [i]
81Linear OOA(2737, 76, F27, 2, 31) (dual of [(76, 2), 115, 32]-NRT-code) [i]
82Linear OOA(2738, 76, F27, 2, 32) (dual of [(76, 2), 114, 33]-NRT-code) [i]
83Linear OOA(2739, 76, F27, 2, 33) (dual of [(76, 2), 113, 34]-NRT-code) [i]
84Linear OOA(2740, 76, F27, 2, 34) (dual of [(76, 2), 112, 35]-NRT-code) [i]
85Linear OOA(2741, 76, F27, 2, 35) (dual of [(76, 2), 111, 36]-NRT-code) [i]
86Linear OOA(2742, 76, F27, 2, 36) (dual of [(76, 2), 110, 37]-NRT-code) [i]
87Linear OOA(2743, 76, F27, 2, 37) (dual of [(76, 2), 109, 38]-NRT-code) [i]
88Linear OOA(2744, 76, F27, 2, 38) (dual of [(76, 2), 108, 39]-NRT-code) [i]
89Linear OOA(2745, 76, F27, 2, 39) (dual of [(76, 2), 107, 40]-NRT-code) [i]
90Linear OOA(2746, 76, F27, 2, 40) (dual of [(76, 2), 106, 41]-NRT-code) [i]
91Linear OOA(2747, 76, F27, 2, 41) (dual of [(76, 2), 105, 42]-NRT-code) [i]
92Linear OOA(2748, 76, F27, 2, 42) (dual of [(76, 2), 104, 43]-NRT-code) [i]
93Linear OOA(2749, 76, F27, 2, 43) (dual of [(76, 2), 103, 44]-NRT-code) [i]
94Linear OOA(2750, 76, F27, 2, 44) (dual of [(76, 2), 102, 45]-NRT-code) [i]
95Linear OOA(2751, 76, F27, 2, 45) (dual of [(76, 2), 101, 46]-NRT-code) [i]
96Linear OOA(2752, 76, F27, 2, 46) (dual of [(76, 2), 100, 47]-NRT-code) [i]
97Linear OOA(2753, 76, F27, 2, 47) (dual of [(76, 2), 99, 48]-NRT-code) [i]
98Linear OOA(2754, 76, F27, 2, 48) (dual of [(76, 2), 98, 49]-NRT-code) [i]
99Linear OOA(2755, 76, F27, 2, 49) (dual of [(76, 2), 97, 50]-NRT-code) [i]
100Linear OOA(2756, 76, F27, 2, 50) (dual of [(76, 2), 96, 51]-NRT-code) [i]
101Linear OOA(2757, 76, F27, 2, 51) (dual of [(76, 2), 95, 52]-NRT-code) [i]
102Linear OOA(2758, 76, F27, 2, 52) (dual of [(76, 2), 94, 53]-NRT-code) [i]
103Linear OOA(2759, 76, F27, 2, 53) (dual of [(76, 2), 93, 54]-NRT-code) [i]
104Linear OOA(2760, 76, F27, 2, 54) (dual of [(76, 2), 92, 55]-NRT-code) [i]
105Linear OOA(2761, 76, F27, 2, 55) (dual of [(76, 2), 91, 56]-NRT-code) [i]
106Linear OOA(2762, 76, F27, 2, 56) (dual of [(76, 2), 90, 57]-NRT-code) [i]
107Linear OOA(2763, 76, F27, 2, 57) (dual of [(76, 2), 89, 58]-NRT-code) [i]
108Linear OOA(2764, 76, F27, 2, 58) (dual of [(76, 2), 88, 59]-NRT-code) [i]
109Linear OOA(2765, 76, F27, 2, 59) (dual of [(76, 2), 87, 60]-NRT-code) [i]
110Linear OOA(2766, 76, F27, 2, 60) (dual of [(76, 2), 86, 61]-NRT-code) [i]
111Linear OOA(2767, 76, F27, 2, 61) (dual of [(76, 2), 85, 62]-NRT-code) [i]
112Linear OOA(2768, 76, F27, 2, 62) (dual of [(76, 2), 84, 63]-NRT-code) [i]
113Linear OOA(2769, 76, F27, 2, 63) (dual of [(76, 2), 83, 64]-NRT-code) [i]
114Linear OOA(2770, 76, F27, 2, 64) (dual of [(76, 2), 82, 65]-NRT-code) [i]
115Linear OOA(2771, 76, F27, 2, 65) (dual of [(76, 2), 81, 66]-NRT-code) [i]
116Linear OOA(2772, 76, F27, 2, 66) (dual of [(76, 2), 80, 67]-NRT-code) [i]
117Linear OOA(2773, 76, F27, 2, 67) (dual of [(76, 2), 79, 68]-NRT-code) [i]
118Linear OOA(2774, 76, F27, 2, 68) (dual of [(76, 2), 78, 69]-NRT-code) [i]
119Linear OOA(2775, 76, F27, 2, 69) (dual of [(76, 2), 77, 70]-NRT-code) [i]
120Linear OOA(2776, 76, F27, 2, 70) (dual of [(76, 2), 76, 71]-NRT-code) [i]
121Linear OOA(2777, 76, F27, 2, 71) (dual of [(76, 2), 75, 72]-NRT-code) [i]
122Linear OOA(2778, 76, F27, 2, 72) (dual of [(76, 2), 74, 73]-NRT-code) [i]
123Linear OOA(2779, 76, F27, 2, 73) (dual of [(76, 2), 73, 74]-NRT-code) [i]
124Linear OOA(2780, 76, F27, 2, 74) (dual of [(76, 2), 72, 75]-NRT-code) [i]
125Linear OOA(2781, 76, F27, 2, 75) (dual of [(76, 2), 71, 76]-NRT-code) [i]
126Linear OOA(2782, 76, F27, 2, 76) (dual of [(76, 2), 70, 77]-NRT-code) [i]
127Linear OOA(2783, 76, F27, 2, 77) (dual of [(76, 2), 69, 78]-NRT-code) [i]
128Linear OOA(2784, 76, F27, 2, 78) (dual of [(76, 2), 68, 79]-NRT-code) [i]
129Linear OOA(2785, 76, F27, 2, 79) (dual of [(76, 2), 67, 80]-NRT-code) [i]
130Linear OOA(2786, 76, F27, 2, 80) (dual of [(76, 2), 66, 81]-NRT-code) [i]
131Linear OOA(2787, 76, F27, 2, 81) (dual of [(76, 2), 65, 82]-NRT-code) [i]
132Linear OOA(2788, 76, F27, 2, 82) (dual of [(76, 2), 64, 83]-NRT-code) [i]
133Linear OOA(2789, 76, F27, 2, 83) (dual of [(76, 2), 63, 84]-NRT-code) [i]
134Linear OOA(2790, 76, F27, 2, 84) (dual of [(76, 2), 62, 85]-NRT-code) [i]
135Linear OOA(2791, 76, F27, 2, 85) (dual of [(76, 2), 61, 86]-NRT-code) [i]
136Linear OOA(2792, 76, F27, 2, 86) (dual of [(76, 2), 60, 87]-NRT-code) [i]
137Linear OOA(2793, 76, F27, 2, 87) (dual of [(76, 2), 59, 88]-NRT-code) [i]
138Linear OOA(2794, 76, F27, 2, 88) (dual of [(76, 2), 58, 89]-NRT-code) [i]
139Linear OOA(2795, 76, F27, 2, 89) (dual of [(76, 2), 57, 90]-NRT-code) [i]
140Linear OOA(2796, 76, F27, 2, 90) (dual of [(76, 2), 56, 91]-NRT-code) [i]
141Linear OOA(2797, 76, F27, 2, 91) (dual of [(76, 2), 55, 92]-NRT-code) [i]
142Linear OOA(2798, 76, F27, 2, 92) (dual of [(76, 2), 54, 93]-NRT-code) [i]
143Linear OOA(2799, 76, F27, 2, 93) (dual of [(76, 2), 53, 94]-NRT-code) [i]
144Linear OOA(27100, 76, F27, 2, 94) (dual of [(76, 2), 52, 95]-NRT-code) [i]
145Linear OOA(27101, 76, F27, 2, 95) (dual of [(76, 2), 51, 96]-NRT-code) [i]
146Linear OOA(27102, 76, F27, 2, 96) (dual of [(76, 2), 50, 97]-NRT-code) [i]
147Linear OOA(27103, 76, F27, 2, 97) (dual of [(76, 2), 49, 98]-NRT-code) [i]
148Linear OOA(27104, 76, F27, 2, 98) (dual of [(76, 2), 48, 99]-NRT-code) [i]
149Linear OOA(27105, 76, F27, 2, 99) (dual of [(76, 2), 47, 100]-NRT-code) [i]
150Linear OOA(27106, 76, F27, 2, 100) (dual of [(76, 2), 46, 101]-NRT-code) [i]
151Linear OOA(27107, 76, F27, 2, 101) (dual of [(76, 2), 45, 102]-NRT-code) [i]
152Linear OOA(27108, 76, F27, 2, 102) (dual of [(76, 2), 44, 103]-NRT-code) [i]
153Linear OOA(27109, 76, F27, 2, 103) (dual of [(76, 2), 43, 104]-NRT-code) [i]
154Linear OOA(27110, 76, F27, 2, 104) (dual of [(76, 2), 42, 105]-NRT-code) [i]
155Linear OA(2774, 75, F27, 74) (dual of [75, 1, 75]-code or 75-arc in PG(73,27)) [i]Algebraic-Geometric Codes
156Linear OA(2762, 75, F27, 56) (dual of [75, 13, 57]-code) [i]
157Linear OA(2758, 75, F27, 52) (dual of [75, 17, 53]-code) [i]
158Linear OA(2756, 75, F27, 50) (dual of [75, 19, 51]-code) [i]
159Linear OA(2755, 75, F27, 49) (dual of [75, 20, 50]-code) [i]
160Linear OA(2754, 75, F27, 48) (dual of [75, 21, 49]-code) [i]
161Linear OA(2753, 75, F27, 47) (dual of [75, 22, 48]-code) [i]
162Linear OA(2752, 75, F27, 46) (dual of [75, 23, 47]-code) [i]
163Linear OA(2751, 75, F27, 45) (dual of [75, 24, 46]-code) [i]
164Linear OA(2773, 75, F27, 67) (dual of [75, 2, 68]-code) [i]
165Linear OA(2750, 75, F27, 44) (dual of [75, 25, 45]-code) [i]
166Linear OA(2772, 75, F27, 66) (dual of [75, 3, 67]-code) [i]
167Linear OA(2749, 75, F27, 43) (dual of [75, 26, 44]-code) [i]
168Linear OA(2771, 75, F27, 65) (dual of [75, 4, 66]-code) [i]
169Linear OA(2748, 75, F27, 42) (dual of [75, 27, 43]-code) [i]
170Linear OA(2770, 75, F27, 64) (dual of [75, 5, 65]-code) [i]
171Linear OA(2747, 75, F27, 41) (dual of [75, 28, 42]-code) [i]
172Linear OA(2769, 75, F27, 63) (dual of [75, 6, 64]-code) [i]
173Linear OA(2746, 75, F27, 40) (dual of [75, 29, 41]-code) [i]
174Linear OA(2768, 75, F27, 62) (dual of [75, 7, 63]-code) [i]
175Linear OA(2745, 75, F27, 39) (dual of [75, 30, 40]-code) [i]
176Linear OA(2767, 75, F27, 61) (dual of [75, 8, 62]-code) [i]
177Linear OA(2744, 75, F27, 38) (dual of [75, 31, 39]-code) [i]
178Linear OA(2766, 75, F27, 60) (dual of [75, 9, 61]-code) [i]
179Linear OA(2743, 75, F27, 37) (dual of [75, 32, 38]-code) [i]
180Linear OA(2765, 75, F27, 59) (dual of [75, 10, 60]-code) [i]
181Linear OA(2742, 75, F27, 36) (dual of [75, 33, 37]-code) [i]
182Linear OA(2764, 75, F27, 58) (dual of [75, 11, 59]-code) [i]
183Linear OA(2741, 75, F27, 35) (dual of [75, 34, 36]-code) [i]
184Linear OA(2763, 75, F27, 57) (dual of [75, 12, 58]-code) [i]
185Linear OA(2740, 75, F27, 34) (dual of [75, 35, 35]-code) [i]
186Linear OA(2739, 75, F27, 33) (dual of [75, 36, 34]-code) [i]
187Linear OA(2761, 75, F27, 55) (dual of [75, 14, 56]-code) [i]
188Linear OA(2738, 75, F27, 32) (dual of [75, 37, 33]-code) [i]
189Linear OA(2760, 75, F27, 54) (dual of [75, 15, 55]-code) [i]
190Linear OA(2737, 75, F27, 31) (dual of [75, 38, 32]-code) [i]
191Linear OA(2759, 75, F27, 53) (dual of [75, 16, 54]-code) [i]
192Linear OA(2736, 75, F27, 30) (dual of [75, 39, 31]-code) [i]
193Linear OA(2735, 75, F27, 29) (dual of [75, 40, 30]-code) [i]
194Linear OA(2757, 75, F27, 51) (dual of [75, 18, 52]-code) [i]
195Linear OA(2734, 75, F27, 28) (dual of [75, 41, 29]-code) [i]
196Linear OA(2733, 75, F27, 27) (dual of [75, 42, 28]-code) [i]
197Linear OA(2732, 75, F27, 26) (dual of [75, 43, 27]-code) [i]
198Linear OA(2731, 75, F27, 25) (dual of [75, 44, 26]-code) [i]