Information on Result #606568
Linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using Reed–Solomon code RS(78,81)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(8172, 531462, F81, 19) (dual of [531462, 531390, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
2 | Linear OA(8156, 531457, F81, 15) (dual of [531457, 531401, 16]-code) | [i] | ||
3 | Linear OA(8152, 531456, F81, 14) (dual of [531456, 531404, 15]-code) | [i] | ||
4 | Linear OA(8182, 178, F81, 72) (dual of [178, 96, 73]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
5 | Linear OA(8181, 178, F81, 71) (dual of [178, 97, 72]-code) | [i] | ||
6 | Linear OA(8180, 178, F81, 70) (dual of [178, 98, 71]-code) | [i] | ||
7 | Linear OA(8179, 178, F81, 69) (dual of [178, 99, 70]-code) | [i] | ||
8 | Linear OA(8178, 178, F81, 68) (dual of [178, 100, 69]-code) | [i] | ||
9 | Linear OA(8177, 178, F81, 67) (dual of [178, 101, 68]-code) | [i] | ||
10 | Linear OA(8176, 178, F81, 66) (dual of [178, 102, 67]-code) | [i] | ||
11 | Linear OA(8175, 178, F81, 65) (dual of [178, 103, 66]-code) | [i] | ||
12 | Linear OA(8174, 178, F81, 64) (dual of [178, 104, 65]-code) | [i] | ||
13 | Linear OA(8173, 178, F81, 63) (dual of [178, 105, 64]-code) | [i] | ||
14 | Linear OA(8172, 178, F81, 62) (dual of [178, 106, 63]-code) | [i] | ||
15 | Linear OA(8171, 178, F81, 61) (dual of [178, 107, 62]-code) | [i] | ||
16 | Linear OA(8170, 178, F81, 60) (dual of [178, 108, 61]-code) | [i] | ||
17 | Linear OA(8169, 178, F81, 59) (dual of [178, 109, 60]-code) | [i] | ||
18 | Linear OA(8168, 178, F81, 58) (dual of [178, 110, 59]-code) | [i] | ||
19 | Linear OA(8167, 178, F81, 57) (dual of [178, 111, 58]-code) | [i] | ||
20 | Linear OA(8166, 178, F81, 56) (dual of [178, 112, 57]-code) | [i] | ||
21 | Linear OA(8165, 178, F81, 55) (dual of [178, 113, 56]-code) | [i] | ||
22 | Linear OA(8164, 178, F81, 54) (dual of [178, 114, 55]-code) | [i] | ||
23 | Linear OA(8163, 178, F81, 53) (dual of [178, 115, 54]-code) | [i] | ||
24 | Linear OA(8162, 178, F81, 52) (dual of [178, 116, 53]-code) | [i] | ||
25 | Linear OA(8161, 178, F81, 51) (dual of [178, 117, 52]-code) | [i] | ||
26 | Linear OA(8160, 178, F81, 50) (dual of [178, 118, 51]-code) | [i] | ||
27 | Linear OA(8159, 178, F81, 49) (dual of [178, 119, 50]-code) | [i] | ||
28 | Linear OA(8158, 178, F81, 48) (dual of [178, 120, 49]-code) | [i] | ||
29 | Linear OA(8157, 178, F81, 47) (dual of [178, 121, 48]-code) | [i] | ||
30 | Linear OA(8156, 178, F81, 46) (dual of [178, 122, 47]-code) | [i] | ||
31 | Linear OA(8155, 178, F81, 45) (dual of [178, 123, 46]-code) | [i] | ||
32 | Linear OA(8154, 178, F81, 44) (dual of [178, 124, 45]-code) | [i] | ||
33 | Linear OA(8153, 178, F81, 43) (dual of [178, 125, 44]-code) | [i] | ||
34 | Linear OA(8152, 178, F81, 42) (dual of [178, 126, 43]-code) | [i] | ||
35 | Linear OA(8151, 178, F81, 41) (dual of [178, 127, 42]-code) | [i] | ||
36 | Linear OA(8150, 178, F81, 40) (dual of [178, 128, 41]-code) | [i] | ||
37 | Linear OA(8149, 178, F81, 39) (dual of [178, 129, 40]-code) | [i] | ||
38 | Linear OA(8148, 178, F81, 38) (dual of [178, 130, 39]-code) | [i] | ||
39 | Linear OA(8147, 178, F81, 37) (dual of [178, 131, 38]-code) | [i] | ||
40 | Linear OA(8146, 178, F81, 36) (dual of [178, 132, 37]-code) | [i] | ||
41 | Linear OA(8145, 178, F81, 35) (dual of [178, 133, 36]-code) | [i] | ||
42 | Linear OA(8144, 178, F81, 34) (dual of [178, 134, 35]-code) | [i] | ||
43 | Linear OA(8143, 178, F81, 33) (dual of [178, 135, 34]-code) | [i] | ||
44 | Linear OA(8142, 178, F81, 32) (dual of [178, 136, 33]-code) | [i] | ||
45 | Linear OA(8141, 178, F81, 31) (dual of [178, 137, 32]-code) | [i] | ||
46 | Linear OA(8140, 178, F81, 30) (dual of [178, 138, 31]-code) | [i] | ||
47 | Linear OA(8139, 178, F81, 29) (dual of [178, 139, 30]-code) | [i] | ||
48 | Linear OA(8138, 178, F81, 28) (dual of [178, 140, 29]-code) | [i] | ||
49 | Linear OA(8137, 178, F81, 27) (dual of [178, 141, 28]-code) | [i] | ||
50 | Linear OA(8136, 178, F81, 26) (dual of [178, 142, 27]-code) | [i] | ||
51 | Linear OA(8135, 178, F81, 25) (dual of [178, 143, 26]-code) | [i] | ||
52 | Linear OA(8134, 178, F81, 24) (dual of [178, 144, 25]-code) | [i] | ||
53 | Linear OA(8133, 178, F81, 23) (dual of [178, 145, 24]-code) | [i] | ||
54 | Linear OA(8132, 178, F81, 22) (dual of [178, 146, 23]-code) | [i] | ||
55 | Linear OA(8131, 178, F81, 21) (dual of [178, 147, 22]-code) | [i] | ||
56 | Linear OA(8130, 178, F81, 20) (dual of [178, 148, 21]-code) | [i] | ||
57 | Linear OA(8129, 178, F81, 19) (dual of [178, 149, 20]-code) | [i] | ||
58 | Linear OA(8128, 178, F81, 18) (dual of [178, 150, 19]-code) | [i] | ||
59 | Linear OA(8127, 178, F81, 17) (dual of [178, 151, 18]-code) | [i] | ||
60 | Linear OA(8126, 178, F81, 16) (dual of [178, 152, 17]-code) | [i] | ||
61 | Linear OA(8125, 178, F81, 15) (dual of [178, 153, 16]-code) | [i] | ||
62 | Linear OA(8124, 178, F81, 14) (dual of [178, 154, 15]-code) | [i] | ||
63 | Linear OA(8182, 376, F81, 63) (dual of [376, 294, 64]-code) | [i] | ||
64 | Linear OA(8181, 376, F81, 62) (dual of [376, 295, 63]-code) | [i] | ||
65 | Linear OA(8180, 376, F81, 61) (dual of [376, 296, 62]-code) | [i] | ||
66 | Linear OA(8179, 376, F81, 60) (dual of [376, 297, 61]-code) | [i] | ||
67 | Linear OA(8178, 376, F81, 59) (dual of [376, 298, 60]-code) | [i] | ||
68 | Linear OA(8177, 376, F81, 58) (dual of [376, 299, 59]-code) | [i] | ||
69 | Linear OA(8176, 376, F81, 57) (dual of [376, 300, 58]-code) | [i] | ||
70 | Linear OA(8175, 376, F81, 56) (dual of [376, 301, 57]-code) | [i] | ||
71 | Linear OA(8174, 376, F81, 55) (dual of [376, 302, 56]-code) | [i] | ||
72 | Linear OA(8173, 376, F81, 54) (dual of [376, 303, 55]-code) | [i] | ||
73 | Linear OA(8172, 376, F81, 53) (dual of [376, 304, 54]-code) | [i] | ||
74 | Linear OA(8171, 376, F81, 52) (dual of [376, 305, 53]-code) | [i] | ||
75 | Linear OA(8170, 376, F81, 51) (dual of [376, 306, 52]-code) | [i] | ||
76 | Linear OA(8169, 376, F81, 50) (dual of [376, 307, 51]-code) | [i] | ||
77 | Linear OA(8168, 376, F81, 49) (dual of [376, 308, 50]-code) | [i] | ||
78 | Linear OA(8167, 376, F81, 48) (dual of [376, 309, 49]-code) | [i] | ||
79 | Linear OA(8166, 376, F81, 47) (dual of [376, 310, 48]-code) | [i] | ||
80 | Linear OA(8165, 376, F81, 46) (dual of [376, 311, 47]-code) | [i] | ||
81 | Linear OA(8164, 376, F81, 45) (dual of [376, 312, 46]-code) | [i] | ||
82 | Linear OA(8163, 376, F81, 44) (dual of [376, 313, 45]-code) | [i] | ||
83 | Linear OA(8162, 376, F81, 43) (dual of [376, 314, 44]-code) | [i] | ||
84 | Linear OA(8161, 376, F81, 42) (dual of [376, 315, 43]-code) | [i] | ||
85 | Linear OA(8160, 376, F81, 41) (dual of [376, 316, 42]-code) | [i] | ||
86 | Linear OA(8159, 376, F81, 40) (dual of [376, 317, 41]-code) | [i] | ||
87 | Linear OA(8158, 376, F81, 39) (dual of [376, 318, 40]-code) | [i] | ||
88 | Linear OA(8157, 376, F81, 38) (dual of [376, 319, 39]-code) | [i] | ||
89 | Linear OA(8156, 376, F81, 37) (dual of [376, 320, 38]-code) | [i] | ||
90 | Linear OA(8155, 376, F81, 36) (dual of [376, 321, 37]-code) | [i] | ||
91 | Linear OA(8154, 376, F81, 35) (dual of [376, 322, 36]-code) | [i] | ||
92 | Linear OA(8153, 376, F81, 34) (dual of [376, 323, 35]-code) | [i] | ||
93 | Linear OA(8152, 376, F81, 33) (dual of [376, 324, 34]-code) | [i] | ||
94 | Linear OA(8151, 376, F81, 32) (dual of [376, 325, 33]-code) | [i] | ||
95 | Linear OA(8150, 376, F81, 31) (dual of [376, 326, 32]-code) | [i] | ||
96 | Linear OA(8149, 376, F81, 30) (dual of [376, 327, 31]-code) | [i] | ||
97 | Linear OA(8148, 376, F81, 29) (dual of [376, 328, 30]-code) | [i] | ||
98 | Linear OA(8147, 376, F81, 28) (dual of [376, 329, 29]-code) | [i] | ||
99 | Linear OA(8146, 376, F81, 27) (dual of [376, 330, 28]-code) | [i] | ||
100 | Linear OA(8145, 376, F81, 26) (dual of [376, 331, 27]-code) | [i] | ||
101 | Linear OA(8144, 376, F81, 25) (dual of [376, 332, 26]-code) | [i] | ||
102 | Linear OA(8182, 304, F81, 67) (dual of [304, 222, 68]-code) | [i] | ||
103 | Linear OA(8181, 304, F81, 66) (dual of [304, 223, 67]-code) | [i] | ||
104 | Linear OA(8180, 304, F81, 65) (dual of [304, 224, 66]-code) | [i] | ||
105 | Linear OA(8179, 304, F81, 64) (dual of [304, 225, 65]-code) | [i] | ||
106 | Linear OA(8178, 304, F81, 63) (dual of [304, 226, 64]-code) | [i] | ||
107 | Linear OA(8177, 304, F81, 62) (dual of [304, 227, 63]-code) | [i] | ||
108 | Linear OA(8176, 304, F81, 61) (dual of [304, 228, 62]-code) | [i] | ||
109 | Linear OA(8175, 304, F81, 60) (dual of [304, 229, 61]-code) | [i] | ||
110 | Linear OA(8174, 304, F81, 59) (dual of [304, 230, 60]-code) | [i] | ||
111 | Linear OA(8173, 304, F81, 58) (dual of [304, 231, 59]-code) | [i] | ||
112 | Linear OA(8172, 304, F81, 57) (dual of [304, 232, 58]-code) | [i] | ||
113 | Linear OA(8171, 304, F81, 56) (dual of [304, 233, 57]-code) | [i] | ||
114 | Linear OA(8170, 304, F81, 55) (dual of [304, 234, 56]-code) | [i] | ||
115 | Linear OA(8169, 304, F81, 54) (dual of [304, 235, 55]-code) | [i] | ||
116 | Linear OA(8168, 304, F81, 53) (dual of [304, 236, 54]-code) | [i] | ||
117 | Linear OA(8167, 304, F81, 52) (dual of [304, 237, 53]-code) | [i] | ||
118 | Linear OA(8166, 304, F81, 51) (dual of [304, 238, 52]-code) | [i] | ||
119 | Linear OA(8165, 304, F81, 50) (dual of [304, 239, 51]-code) | [i] | ||
120 | Linear OA(8164, 304, F81, 49) (dual of [304, 240, 50]-code) | [i] | ||
121 | Linear OA(8163, 304, F81, 48) (dual of [304, 241, 49]-code) | [i] | ||
122 | Linear OA(8162, 304, F81, 47) (dual of [304, 242, 48]-code) | [i] | ||
123 | Linear OA(8161, 304, F81, 46) (dual of [304, 243, 47]-code) | [i] | ||
124 | Linear OA(8160, 304, F81, 45) (dual of [304, 244, 46]-code) | [i] | ||
125 | Linear OA(8159, 304, F81, 44) (dual of [304, 245, 45]-code) | [i] | ||
126 | Linear OA(8158, 304, F81, 43) (dual of [304, 246, 44]-code) | [i] | ||
127 | Linear OA(8157, 304, F81, 42) (dual of [304, 247, 43]-code) | [i] | ||
128 | Linear OA(8156, 304, F81, 41) (dual of [304, 248, 42]-code) | [i] | ||
129 | Linear OA(8155, 304, F81, 40) (dual of [304, 249, 41]-code) | [i] | ||
130 | Linear OA(8154, 304, F81, 39) (dual of [304, 250, 40]-code) | [i] | ||
131 | Linear OA(8153, 304, F81, 38) (dual of [304, 251, 39]-code) | [i] | ||
132 | Linear OA(8152, 304, F81, 37) (dual of [304, 252, 38]-code) | [i] | ||
133 | Linear OA(8151, 304, F81, 36) (dual of [304, 253, 37]-code) | [i] | ||
134 | Linear OA(8150, 304, F81, 35) (dual of [304, 254, 36]-code) | [i] | ||
135 | Linear OA(8149, 304, F81, 34) (dual of [304, 255, 35]-code) | [i] | ||
136 | Linear OA(8148, 304, F81, 33) (dual of [304, 256, 34]-code) | [i] | ||
137 | Linear OA(8147, 304, F81, 32) (dual of [304, 257, 33]-code) | [i] | ||
138 | Linear OA(8146, 304, F81, 31) (dual of [304, 258, 32]-code) | [i] | ||
139 | Linear OA(8145, 304, F81, 30) (dual of [304, 259, 31]-code) | [i] | ||
140 | Linear OA(8144, 304, F81, 29) (dual of [304, 260, 30]-code) | [i] | ||
141 | Linear OA(8143, 304, F81, 28) (dual of [304, 261, 29]-code) | [i] | ||
142 | Linear OA(8142, 304, F81, 27) (dual of [304, 262, 28]-code) | [i] | ||
143 | Linear OA(8141, 304, F81, 26) (dual of [304, 263, 27]-code) | [i] | ||
144 | Linear OA(8140, 304, F81, 25) (dual of [304, 264, 26]-code) | [i] | ||
145 | Linear OA(8139, 304, F81, 24) (dual of [304, 265, 25]-code) | [i] | ||
146 | Linear OA(8138, 304, F81, 23) (dual of [304, 266, 24]-code) | [i] | ||
147 | Linear OA(8137, 304, F81, 22) (dual of [304, 267, 23]-code) | [i] | ||
148 | Linear OA(8136, 304, F81, 21) (dual of [304, 268, 22]-code) | [i] | ||
149 | Linear OA(8182, 506, F81, 53) (dual of [506, 424, 54]-code) | [i] | ||
150 | Linear OA(8181, 506, F81, 52) (dual of [506, 425, 53]-code) | [i] | ||
151 | Linear OA(8180, 506, F81, 51) (dual of [506, 426, 52]-code) | [i] | ||
152 | Linear OA(8179, 506, F81, 50) (dual of [506, 427, 51]-code) | [i] | ||
153 | Linear OA(8178, 506, F81, 49) (dual of [506, 428, 50]-code) | [i] | ||
154 | Linear OA(8177, 506, F81, 48) (dual of [506, 429, 49]-code) | [i] | ||
155 | Linear OA(8176, 506, F81, 47) (dual of [506, 430, 48]-code) | [i] | ||
156 | Linear OA(8175, 506, F81, 46) (dual of [506, 431, 47]-code) | [i] | ||
157 | Linear OA(8174, 506, F81, 45) (dual of [506, 432, 46]-code) | [i] | ||
158 | Linear OA(8173, 506, F81, 44) (dual of [506, 433, 45]-code) | [i] | ||
159 | Linear OA(8172, 506, F81, 43) (dual of [506, 434, 44]-code) | [i] | ||
160 | Linear OA(8171, 506, F81, 42) (dual of [506, 435, 43]-code) | [i] | ||
161 | Linear OA(8170, 506, F81, 41) (dual of [506, 436, 42]-code) | [i] | ||
162 | Linear OA(8169, 506, F81, 40) (dual of [506, 437, 41]-code) | [i] | ||
163 | Linear OA(8182, 531457, F81, 27) (dual of [531457, 531375, 28]-code) | [i] | Construction X with Cyclic Codes | |
164 | Linear OA(8176, 531457, F81, 25) (dual of [531457, 531381, 26]-code) | [i] | ||
165 | Linear OA(8170, 531457, F81, 23) (dual of [531457, 531387, 24]-code) | [i] | ||
166 | Linear OA(8164, 531457, F81, 21) (dual of [531457, 531393, 22]-code) | [i] | ||
167 | Linear OA(8158, 531457, F81, 19) (dual of [531457, 531399, 20]-code) | [i] | ||
168 | Linear OA(8152, 531457, F81, 17) (dual of [531457, 531405, 18]-code) | [i] | ||
169 | Linear OA(8146, 531457, F81, 15) (dual of [531457, 531411, 16]-code) | [i] | ||
170 | Linear OA(8140, 531457, F81, 13) (dual of [531457, 531417, 14]-code) | [i] | ||
171 | Linear OA(8134, 531457, F81, 11) (dual of [531457, 531423, 12]-code) | [i] | ||
172 | Linear OA(8128, 531457, F81, 9) (dual of [531457, 531429, 10]-code) | [i] | ||
173 | Linear OA(8180, 6573, F81, 39) (dual of [6573, 6493, 40]-code) | [i] | ||
174 | Linear OA(8176, 6573, F81, 37) (dual of [6573, 6497, 38]-code) | [i] | ||
175 | Linear OA(8172, 6573, F81, 35) (dual of [6573, 6501, 36]-code) | [i] | ||
176 | Linear OA(8168, 6573, F81, 33) (dual of [6573, 6505, 34]-code) | [i] | ||
177 | Linear OA(8164, 6573, F81, 31) (dual of [6573, 6509, 32]-code) | [i] | ||
178 | Linear OA(8160, 6573, F81, 29) (dual of [6573, 6513, 30]-code) | [i] | ||
179 | Linear OA(8156, 6573, F81, 27) (dual of [6573, 6517, 28]-code) | [i] | ||
180 | Linear OA(8152, 6573, F81, 25) (dual of [6573, 6521, 26]-code) | [i] | ||
181 | Linear OA(8148, 6573, F81, 23) (dual of [6573, 6525, 24]-code) | [i] | ||
182 | Linear OA(8144, 6573, F81, 21) (dual of [6573, 6529, 22]-code) | [i] | ||
183 | Linear OA(8140, 6573, F81, 19) (dual of [6573, 6533, 20]-code) | [i] | ||
184 | Linear OA(8136, 6573, F81, 17) (dual of [6573, 6537, 18]-code) | [i] | ||
185 | Linear OA(8132, 6573, F81, 15) (dual of [6573, 6541, 16]-code) | [i] | ||
186 | Linear OA(8128, 6573, F81, 13) (dual of [6573, 6545, 14]-code) | [i] | ||
187 | Linear OA(8124, 6573, F81, 11) (dual of [6573, 6549, 12]-code) | [i] | ||
188 | Linear OA(8120, 6573, F81, 9) (dual of [6573, 6553, 10]-code) | [i] | ||
189 | Linear OA(8158, 419, F81, 31) (dual of [419, 361, 32]-code) | [i] | ||
190 | Linear OA(8176, 419, F81, 41) (dual of [419, 343, 42]-code) | [i] | ||
191 | Linear OA(8179, 531456, F81, 26) (dual of [531456, 531377, 27]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
192 | Linear OA(8173, 531456, F81, 24) (dual of [531456, 531383, 25]-code) | [i] | ||
193 | Linear OA(8167, 531456, F81, 22) (dual of [531456, 531389, 23]-code) | [i] | ||
194 | Linear OA(8161, 531456, F81, 20) (dual of [531456, 531395, 21]-code) | [i] | ||
195 | Linear OA(8155, 531456, F81, 18) (dual of [531456, 531401, 19]-code) | [i] | ||
196 | Linear OA(8149, 531456, F81, 16) (dual of [531456, 531407, 17]-code) | [i] | ||
197 | Linear OA(8143, 531456, F81, 14) (dual of [531456, 531413, 15]-code) | [i] | ||
198 | Linear OA(8137, 531456, F81, 12) (dual of [531456, 531419, 13]-code) | [i] | ||
199 | Linear OA(8131, 531456, F81, 10) (dual of [531456, 531425, 11]-code) | [i] | ||
200 | Linear OA(8125, 531456, F81, 8) (dual of [531456, 531431, 9]-code) | [i] | ||
201 | Linear OA(8182, 6572, F81, 40) (dual of [6572, 6490, 41]-code) | [i] | ||
202 | Linear OA(8178, 6572, F81, 38) (dual of [6572, 6494, 39]-code) | [i] | ||
203 | Linear OA(8174, 6572, F81, 36) (dual of [6572, 6498, 37]-code) | [i] | ||
204 | Linear OA(8170, 6572, F81, 34) (dual of [6572, 6502, 35]-code) | [i] | ||
205 | Linear OA(8166, 6572, F81, 32) (dual of [6572, 6506, 33]-code) | [i] | ||
206 | Linear OA(8162, 6572, F81, 30) (dual of [6572, 6510, 31]-code) | [i] | ||
207 | Linear OA(8158, 6572, F81, 28) (dual of [6572, 6514, 29]-code) | [i] | ||
208 | Linear OA(8154, 6572, F81, 26) (dual of [6572, 6518, 27]-code) | [i] | ||
209 | Linear OA(8150, 6572, F81, 24) (dual of [6572, 6522, 25]-code) | [i] | ||
210 | Linear OA(8146, 6572, F81, 22) (dual of [6572, 6526, 23]-code) | [i] | ||
211 | Linear OA(8142, 6572, F81, 20) (dual of [6572, 6530, 21]-code) | [i] | ||
212 | Linear OA(8138, 6572, F81, 18) (dual of [6572, 6534, 19]-code) | [i] | ||
213 | Linear OA(8134, 6572, F81, 16) (dual of [6572, 6538, 17]-code) | [i] | ||
214 | Linear OA(8130, 6572, F81, 14) (dual of [6572, 6542, 15]-code) | [i] | ||
215 | Linear OA(8126, 6572, F81, 12) (dual of [6572, 6546, 13]-code) | [i] | ||
216 | Linear OA(8122, 6572, F81, 10) (dual of [6572, 6550, 11]-code) | [i] | ||
217 | Linear OA(8118, 6572, F81, 8) (dual of [6572, 6554, 9]-code) | [i] |