Information on Result #600283

Function Field F/F32 with g(F) = 3 and N(F) ≥ 64, 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 (3, 63)-sequence over F32 [i]Niederreiter–Xing Sequence Construction II/III
2Linear OA(329, 64, F32, 6) (dual of [64, 55, 7]-code) [i]Extended Algebraic-Geometric Codes
3Linear OA(3210, 64, F32, 7) (dual of [64, 54, 8]-code) [i]
4Linear OA(3211, 64, F32, 8) (dual of [64, 53, 9]-code) [i]
5Linear OA(3212, 64, F32, 9) (dual of [64, 52, 10]-code) [i]
6Linear OA(3213, 64, F32, 10) (dual of [64, 51, 11]-code) [i]
7Linear OA(3214, 64, F32, 11) (dual of [64, 50, 12]-code) [i]
8Linear OA(3215, 64, F32, 12) (dual of [64, 49, 13]-code) [i]
9Linear OA(3216, 64, F32, 13) (dual of [64, 48, 14]-code) [i]
10Linear OA(3217, 64, F32, 14) (dual of [64, 47, 15]-code) [i]
11Linear OA(3218, 64, F32, 15) (dual of [64, 46, 16]-code) [i]
12Linear OA(3219, 64, F32, 16) (dual of [64, 45, 17]-code) [i]
13Linear OA(3220, 64, F32, 17) (dual of [64, 44, 18]-code) [i]
14Linear OA(3221, 64, F32, 18) (dual of [64, 43, 19]-code) [i]
15Linear OA(3222, 64, F32, 19) (dual of [64, 42, 20]-code) [i]
16Linear OA(3223, 64, F32, 20) (dual of [64, 41, 21]-code) [i]
17Linear OA(3224, 64, F32, 21) (dual of [64, 40, 22]-code) [i]
18Linear OA(3225, 64, F32, 22) (dual of [64, 39, 23]-code) [i]
19Linear OA(3226, 64, F32, 23) (dual of [64, 38, 24]-code) [i]
20Linear OA(3227, 64, F32, 24) (dual of [64, 37, 25]-code) [i]
21Linear OA(3228, 64, F32, 25) (dual of [64, 36, 26]-code) [i]
22Linear OA(3229, 64, F32, 26) (dual of [64, 35, 27]-code) [i]
23Linear OA(3230, 64, F32, 27) (dual of [64, 34, 28]-code) [i]
24Linear OA(3231, 64, F32, 28) (dual of [64, 33, 29]-code) [i]
25Linear OA(3232, 64, F32, 29) (dual of [64, 32, 30]-code) [i]
26Linear OA(3233, 64, F32, 30) (dual of [64, 31, 31]-code) [i]
27Linear OA(3234, 64, F32, 31) (dual of [64, 30, 32]-code) [i]
28Linear OA(3235, 64, F32, 32) (dual of [64, 29, 33]-code) [i]
29Linear OA(3236, 64, F32, 33) (dual of [64, 28, 34]-code) [i]
30Linear OA(3237, 64, F32, 34) (dual of [64, 27, 35]-code) [i]
31Linear OA(3238, 64, F32, 35) (dual of [64, 26, 36]-code) [i]
32Linear OA(3239, 64, F32, 36) (dual of [64, 25, 37]-code) [i]
33Linear OA(3240, 64, F32, 37) (dual of [64, 24, 38]-code) [i]
34Linear OA(3241, 64, F32, 38) (dual of [64, 23, 39]-code) [i]
35Linear OA(3242, 64, F32, 39) (dual of [64, 22, 40]-code) [i]
36Linear OA(3243, 64, F32, 40) (dual of [64, 21, 41]-code) [i]
37Linear OA(3244, 64, F32, 41) (dual of [64, 20, 42]-code) [i]
38Linear OA(3245, 64, F32, 42) (dual of [64, 19, 43]-code) [i]
39Linear OA(3246, 64, F32, 43) (dual of [64, 18, 44]-code) [i]
40Linear OA(3247, 64, F32, 44) (dual of [64, 17, 45]-code) [i]
41Linear OA(3248, 64, F32, 45) (dual of [64, 16, 46]-code) [i]
42Linear OA(3249, 64, F32, 46) (dual of [64, 15, 47]-code) [i]
43Linear OA(3250, 64, F32, 47) (dual of [64, 14, 48]-code) [i]
44Linear OA(3251, 64, F32, 48) (dual of [64, 13, 49]-code) [i]
45Linear OA(3252, 64, F32, 49) (dual of [64, 12, 50]-code) [i]
46Linear OA(3253, 64, F32, 50) (dual of [64, 11, 51]-code) [i]
47Linear OA(3254, 64, F32, 51) (dual of [64, 10, 52]-code) [i]
48Linear OA(3255, 64, F32, 52) (dual of [64, 9, 53]-code) [i]
49Linear OA(3256, 64, F32, 53) (dual of [64, 8, 54]-code) [i]
50Linear OA(3257, 64, F32, 54) (dual of [64, 7, 55]-code) [i]
51Linear OA(3258, 64, F32, 55) (dual of [64, 6, 56]-code) [i]
52Linear OA(3259, 64, F32, 56) (dual of [64, 5, 57]-code) [i]
53Linear OA(3260, 64, F32, 57) (dual of [64, 4, 58]-code) [i]
54Linear OOA(329, 64, F32, 2, 6) (dual of [(64, 2), 119, 7]-NRT-code) [i]Extended Algebraic-Geometric NRT-Codes
55Linear OOA(3210, 64, F32, 2, 7) (dual of [(64, 2), 118, 8]-NRT-code) [i]
56Linear OOA(3211, 64, F32, 2, 8) (dual of [(64, 2), 117, 9]-NRT-code) [i]
57Linear OOA(3212, 64, F32, 2, 9) (dual of [(64, 2), 116, 10]-NRT-code) [i]
58Linear OOA(3213, 64, F32, 2, 10) (dual of [(64, 2), 115, 11]-NRT-code) [i]
59Linear OOA(3214, 64, F32, 2, 11) (dual of [(64, 2), 114, 12]-NRT-code) [i]
60Linear OOA(3215, 64, F32, 2, 12) (dual of [(64, 2), 113, 13]-NRT-code) [i]
61Linear OOA(3216, 64, F32, 2, 13) (dual of [(64, 2), 112, 14]-NRT-code) [i]
62Linear OOA(3217, 64, F32, 2, 14) (dual of [(64, 2), 111, 15]-NRT-code) [i]
63Linear OOA(3218, 64, F32, 2, 15) (dual of [(64, 2), 110, 16]-NRT-code) [i]
64Linear OOA(3219, 64, F32, 2, 16) (dual of [(64, 2), 109, 17]-NRT-code) [i]
65Linear OOA(3220, 64, F32, 2, 17) (dual of [(64, 2), 108, 18]-NRT-code) [i]
66Linear OOA(3221, 64, F32, 2, 18) (dual of [(64, 2), 107, 19]-NRT-code) [i]
67Linear OOA(3222, 64, F32, 2, 19) (dual of [(64, 2), 106, 20]-NRT-code) [i]
68Linear OOA(3223, 64, F32, 2, 20) (dual of [(64, 2), 105, 21]-NRT-code) [i]
69Linear OOA(3224, 64, F32, 2, 21) (dual of [(64, 2), 104, 22]-NRT-code) [i]
70Linear OOA(3225, 64, F32, 2, 22) (dual of [(64, 2), 103, 23]-NRT-code) [i]
71Linear OOA(3226, 64, F32, 2, 23) (dual of [(64, 2), 102, 24]-NRT-code) [i]
72Linear OOA(3227, 64, F32, 2, 24) (dual of [(64, 2), 101, 25]-NRT-code) [i]
73Linear OOA(3228, 64, F32, 2, 25) (dual of [(64, 2), 100, 26]-NRT-code) [i]
74Linear OOA(3229, 64, F32, 2, 26) (dual of [(64, 2), 99, 27]-NRT-code) [i]
75Linear OOA(3230, 64, F32, 2, 27) (dual of [(64, 2), 98, 28]-NRT-code) [i]
76Linear OOA(3231, 64, F32, 2, 28) (dual of [(64, 2), 97, 29]-NRT-code) [i]
77Linear OOA(3232, 64, F32, 2, 29) (dual of [(64, 2), 96, 30]-NRT-code) [i]
78Linear OOA(3233, 64, F32, 2, 30) (dual of [(64, 2), 95, 31]-NRT-code) [i]
79Linear OOA(3234, 64, F32, 2, 31) (dual of [(64, 2), 94, 32]-NRT-code) [i]
80Linear OOA(3235, 64, F32, 2, 32) (dual of [(64, 2), 93, 33]-NRT-code) [i]
81Linear OOA(3236, 64, F32, 2, 33) (dual of [(64, 2), 92, 34]-NRT-code) [i]
82Linear OOA(3237, 64, F32, 2, 34) (dual of [(64, 2), 91, 35]-NRT-code) [i]
83Linear OOA(3238, 64, F32, 2, 35) (dual of [(64, 2), 90, 36]-NRT-code) [i]
84Linear OOA(3239, 64, F32, 2, 36) (dual of [(64, 2), 89, 37]-NRT-code) [i]
85Linear OOA(3240, 64, F32, 2, 37) (dual of [(64, 2), 88, 38]-NRT-code) [i]
86Linear OOA(3241, 64, F32, 2, 38) (dual of [(64, 2), 87, 39]-NRT-code) [i]
87Linear OOA(3242, 64, F32, 2, 39) (dual of [(64, 2), 86, 40]-NRT-code) [i]
88Linear OOA(3243, 64, F32, 2, 40) (dual of [(64, 2), 85, 41]-NRT-code) [i]
89Linear OOA(3244, 64, F32, 2, 41) (dual of [(64, 2), 84, 42]-NRT-code) [i]
90Linear OOA(3245, 64, F32, 2, 42) (dual of [(64, 2), 83, 43]-NRT-code) [i]
91Linear OOA(3246, 64, F32, 2, 43) (dual of [(64, 2), 82, 44]-NRT-code) [i]
92Linear OOA(3247, 64, F32, 2, 44) (dual of [(64, 2), 81, 45]-NRT-code) [i]
93Linear OOA(3248, 64, F32, 2, 45) (dual of [(64, 2), 80, 46]-NRT-code) [i]
94Linear OOA(3249, 64, F32, 2, 46) (dual of [(64, 2), 79, 47]-NRT-code) [i]
95Linear OOA(3250, 64, F32, 2, 47) (dual of [(64, 2), 78, 48]-NRT-code) [i]
96Linear OOA(3251, 64, F32, 2, 48) (dual of [(64, 2), 77, 49]-NRT-code) [i]
97Linear OOA(3252, 64, F32, 2, 49) (dual of [(64, 2), 76, 50]-NRT-code) [i]
98Linear OOA(3253, 64, F32, 2, 50) (dual of [(64, 2), 75, 51]-NRT-code) [i]
99Linear OOA(3254, 64, F32, 2, 51) (dual of [(64, 2), 74, 52]-NRT-code) [i]
100Linear OOA(3255, 64, F32, 2, 52) (dual of [(64, 2), 73, 53]-NRT-code) [i]
101Linear OOA(3256, 64, F32, 2, 53) (dual of [(64, 2), 72, 54]-NRT-code) [i]
102Linear OOA(3257, 64, F32, 2, 54) (dual of [(64, 2), 71, 55]-NRT-code) [i]
103Linear OOA(3258, 64, F32, 2, 55) (dual of [(64, 2), 70, 56]-NRT-code) [i]
104Linear OOA(3259, 64, F32, 2, 56) (dual of [(64, 2), 69, 57]-NRT-code) [i]
105Linear OOA(3260, 64, F32, 2, 57) (dual of [(64, 2), 68, 58]-NRT-code) [i]
106Linear OOA(3261, 64, F32, 2, 58) (dual of [(64, 2), 67, 59]-NRT-code) [i]
107Linear OOA(3262, 64, F32, 2, 59) (dual of [(64, 2), 66, 60]-NRT-code) [i]
108Linear OOA(3263, 64, F32, 2, 60) (dual of [(64, 2), 65, 61]-NRT-code) [i]
109Linear OOA(3264, 64, F32, 2, 61) (dual of [(64, 2), 64, 62]-NRT-code) [i]
110Linear OOA(3265, 64, F32, 2, 62) (dual of [(64, 2), 63, 63]-NRT-code) [i]
111Linear OOA(3266, 64, F32, 2, 63) (dual of [(64, 2), 62, 64]-NRT-code) [i]
112Linear OOA(3267, 64, F32, 2, 64) (dual of [(64, 2), 61, 65]-NRT-code) [i]
113Linear OOA(3268, 64, F32, 2, 65) (dual of [(64, 2), 60, 66]-NRT-code) [i]
114Linear OOA(3269, 64, F32, 2, 66) (dual of [(64, 2), 59, 67]-NRT-code) [i]
115Linear OOA(3270, 64, F32, 2, 67) (dual of [(64, 2), 58, 68]-NRT-code) [i]
116Linear OOA(3271, 64, F32, 2, 68) (dual of [(64, 2), 57, 69]-NRT-code) [i]
117Linear OOA(3272, 64, F32, 2, 69) (dual of [(64, 2), 56, 70]-NRT-code) [i]
118Linear OOA(3273, 64, F32, 2, 70) (dual of [(64, 2), 55, 71]-NRT-code) [i]
119Linear OOA(3274, 64, F32, 2, 71) (dual of [(64, 2), 54, 72]-NRT-code) [i]
120Linear OOA(3275, 64, F32, 2, 72) (dual of [(64, 2), 53, 73]-NRT-code) [i]
121Linear OOA(3276, 64, F32, 2, 73) (dual of [(64, 2), 52, 74]-NRT-code) [i]
122Linear OOA(3277, 64, F32, 2, 74) (dual of [(64, 2), 51, 75]-NRT-code) [i]
123Linear OOA(3278, 64, F32, 2, 75) (dual of [(64, 2), 50, 76]-NRT-code) [i]
124Linear OOA(3279, 64, F32, 2, 76) (dual of [(64, 2), 49, 77]-NRT-code) [i]
125Linear OOA(3280, 64, F32, 2, 77) (dual of [(64, 2), 48, 78]-NRT-code) [i]
126Linear OOA(3281, 64, F32, 2, 78) (dual of [(64, 2), 47, 79]-NRT-code) [i]
127Linear OOA(3282, 64, F32, 2, 79) (dual of [(64, 2), 46, 80]-NRT-code) [i]
128Linear OOA(3283, 64, F32, 2, 80) (dual of [(64, 2), 45, 81]-NRT-code) [i]
129Linear OOA(3284, 64, F32, 2, 81) (dual of [(64, 2), 44, 82]-NRT-code) [i]
130Linear OOA(3285, 64, F32, 2, 82) (dual of [(64, 2), 43, 83]-NRT-code) [i]
131Linear OOA(3286, 64, F32, 2, 83) (dual of [(64, 2), 42, 84]-NRT-code) [i]
132Linear OOA(3287, 64, F32, 2, 84) (dual of [(64, 2), 41, 85]-NRT-code) [i]
133Linear OOA(3288, 64, F32, 2, 85) (dual of [(64, 2), 40, 86]-NRT-code) [i]
134Linear OOA(3289, 64, F32, 2, 86) (dual of [(64, 2), 39, 87]-NRT-code) [i]
135Linear OOA(3290, 64, F32, 2, 87) (dual of [(64, 2), 38, 88]-NRT-code) [i]
136Linear OOA(3291, 64, F32, 2, 88) (dual of [(64, 2), 37, 89]-NRT-code) [i]
137Linear OOA(3292, 64, F32, 2, 89) (dual of [(64, 2), 36, 90]-NRT-code) [i]
138Linear OOA(3293, 64, F32, 2, 90) (dual of [(64, 2), 35, 91]-NRT-code) [i]
139Linear OOA(3294, 64, F32, 2, 91) (dual of [(64, 2), 34, 92]-NRT-code) [i]
140Linear OOA(3295, 64, F32, 2, 92) (dual of [(64, 2), 33, 93]-NRT-code) [i]
141Linear OOA(3296, 64, F32, 2, 93) (dual of [(64, 2), 32, 94]-NRT-code) [i]
142Linear OOA(3297, 64, F32, 2, 94) (dual of [(64, 2), 31, 95]-NRT-code) [i]
143Linear OOA(3298, 64, F32, 2, 95) (dual of [(64, 2), 30, 96]-NRT-code) [i]
144Linear OOA(3299, 64, F32, 2, 96) (dual of [(64, 2), 29, 97]-NRT-code) [i]
145Linear OOA(32100, 64, F32, 2, 97) (dual of [(64, 2), 28, 98]-NRT-code) [i]
146Linear OOA(32101, 64, F32, 2, 98) (dual of [(64, 2), 27, 99]-NRT-code) [i]
147Linear OOA(32102, 64, F32, 2, 99) (dual of [(64, 2), 26, 100]-NRT-code) [i]
148Linear OOA(32103, 64, F32, 2, 100) (dual of [(64, 2), 25, 101]-NRT-code) [i]
149Linear OOA(32104, 64, F32, 2, 101) (dual of [(64, 2), 24, 102]-NRT-code) [i]
150Linear OOA(32105, 64, F32, 2, 102) (dual of [(64, 2), 23, 103]-NRT-code) [i]
151Linear OOA(32106, 64, F32, 2, 103) (dual of [(64, 2), 22, 104]-NRT-code) [i]
152Linear OOA(32107, 64, F32, 2, 104) (dual of [(64, 2), 21, 105]-NRT-code) [i]
153Linear OOA(32108, 64, F32, 2, 105) (dual of [(64, 2), 20, 106]-NRT-code) [i]
154Linear OOA(32109, 64, F32, 2, 106) (dual of [(64, 2), 19, 107]-NRT-code) [i]
155Linear OOA(32110, 64, F32, 2, 107) (dual of [(64, 2), 18, 108]-NRT-code) [i]
156Linear OA(3259, 63, F32, 56) (dual of [63, 4, 57]-code) [i]Algebraic-Geometric Codes
157Linear OA(3257, 63, F32, 54) (dual of [63, 6, 55]-code) [i]
158Linear OA(3258, 63, F32, 55) (dual of [63, 5, 56]-code) [i]
159Linear OA(3256, 63, F32, 53) (dual of [63, 7, 54]-code) [i]
160Linear OA(3255, 63, F32, 52) (dual of [63, 8, 53]-code) [i]
161Linear OA(3254, 63, F32, 51) (dual of [63, 9, 52]-code) [i]
162Linear OA(3253, 63, F32, 50) (dual of [63, 10, 51]-code) [i]
163Linear OA(3252, 63, F32, 49) (dual of [63, 11, 50]-code) [i]
164Linear OA(3251, 63, F32, 48) (dual of [63, 12, 49]-code) [i]
165Linear OA(3250, 63, F32, 47) (dual of [63, 13, 48]-code) [i]
166Linear OA(3249, 63, F32, 46) (dual of [63, 14, 47]-code) [i]
167Linear OA(3248, 63, F32, 45) (dual of [63, 15, 46]-code) [i]
168Linear OA(3247, 63, F32, 44) (dual of [63, 16, 45]-code) [i]
169Linear OA(3246, 63, F32, 43) (dual of [63, 17, 44]-code) [i]
170Linear OA(3245, 63, F32, 42) (dual of [63, 18, 43]-code) [i]
171Linear OA(3244, 63, F32, 41) (dual of [63, 19, 42]-code) [i]
172Linear OA(3243, 63, F32, 40) (dual of [63, 20, 41]-code) [i]
173Linear OA(3242, 63, F32, 39) (dual of [63, 21, 40]-code) [i]
174Linear OA(3241, 63, F32, 38) (dual of [63, 22, 39]-code) [i]
175Linear OA(3240, 63, F32, 37) (dual of [63, 23, 38]-code) [i]
176Linear OA(3239, 63, F32, 36) (dual of [63, 24, 37]-code) [i]
177Linear OA(3238, 63, F32, 35) (dual of [63, 25, 36]-code) [i]
178Linear OA(3237, 63, F32, 34) (dual of [63, 26, 35]-code) [i]
179Linear OA(3236, 63, F32, 33) (dual of [63, 27, 34]-code) [i]
180Linear OA(3235, 63, F32, 32) (dual of [63, 28, 33]-code) [i]
181Linear OA(3234, 63, F32, 31) (dual of [63, 29, 32]-code) [i]
182Linear OA(3233, 63, F32, 30) (dual of [63, 30, 31]-code) [i]
183Linear OA(3232, 63, F32, 29) (dual of [63, 31, 30]-code) [i]
184Linear OA(3231, 63, F32, 28) (dual of [63, 32, 29]-code) [i]
185Linear OA(3230, 63, F32, 27) (dual of [63, 33, 28]-code) [i]
186Linear OA(3229, 63, F32, 26) (dual of [63, 34, 27]-code) [i]
187Linear OA(3228, 63, F32, 25) (dual of [63, 35, 26]-code) [i]
188Linear OA(3227, 63, F32, 24) (dual of [63, 36, 25]-code) [i]
189Linear OA(3226, 63, F32, 23) (dual of [63, 37, 24]-code) [i]
190Linear OA(3225, 63, F32, 22) (dual of [63, 38, 23]-code) [i]
191Linear OA(3224, 63, F32, 21) (dual of [63, 39, 22]-code) [i]
192Linear OA(3223, 63, F32, 20) (dual of [63, 40, 21]-code) [i]
193Linear OA(3222, 63, F32, 19) (dual of [63, 41, 20]-code) [i]
194Linear OA(3221, 63, F32, 18) (dual of [63, 42, 19]-code) [i]
195Linear OA(3220, 63, F32, 17) (dual of [63, 43, 18]-code) [i]
196Linear OA(3219, 63, F32, 16) (dual of [63, 44, 17]-code) [i]
197Linear OA(3218, 63, F32, 15) (dual of [63, 45, 16]-code) [i]
198Linear OA(3217, 63, F32, 14) (dual of [63, 46, 15]-code) [i]
199Linear OA(3216, 63, F32, 13) (dual of [63, 47, 14]-code) [i]
200Linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code) [i]
201Linear OA(3214, 63, F32, 11) (dual of [63, 49, 12]-code) [i]
202Linear OA(3213, 63, F32, 10) (dual of [63, 50, 11]-code) [i]
203Linear OA(3212, 63, F32, 9) (dual of [63, 51, 10]-code) [i]
204Linear OA(3211, 63, F32, 8) (dual of [63, 52, 9]-code) [i]
205Linear OA(3210, 63, F32, 7) (dual of [63, 53, 8]-code) [i]
206Linear OA(329, 63, F32, 6) (dual of [63, 54, 7]-code) [i]