Information on Result #2251850
Linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using 1 times truncation based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(955, 748, F9, 17) (dual of [748, 693, 18]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(975, 13143, F9, 17) (dual of [13143, 13068, 18]-code) | [i] | ||
3 | Linear OA(985, 59068, F9, 17) (dual of [59068, 58983, 18]-code) | [i] | ||
4 | Linear OA(9115, 4782988, F9, 17) (dual of [4782988, 4782873, 18]-code) | [i] | ||
5 | Linear OA(952, 748, F9, 16) (dual of [748, 696, 17]-code) | [i] | ||
6 | Linear OA(980, 59068, F9, 16) (dual of [59068, 58988, 17]-code) | [i] | ||
7 | Linear OA(9108, 4782988, F9, 16) (dual of [4782988, 4782880, 17]-code) | [i] | ||
8 | Linear OA(9100, 112, F9, 69) (dual of [112, 12, 70]-code) | [i] | Generalized (u, u+v)-Construction | |
9 | Linear OA(9105, 120, F9, 69) (dual of [120, 15, 70]-code) | [i] | ||
10 | Linear OA(9109, 128, F9, 69) (dual of [128, 19, 70]-code) | [i] | ||
11 | Linear OA(990, 105, F9, 59) (dual of [105, 15, 60]-code) | [i] | ||
12 | Linear OA(987, 97, F9, 61) (dual of [97, 10, 62]-code) | [i] | Juxtaposition | |
13 | Linear OA(991, 100, F9, 70) (dual of [100, 9, 71]-code) | [i] | ||
14 | Linear OA(9101, 110, F9, 72) (dual of [110, 9, 73]-code) | [i] | ||
15 | Linear OA(9108, 117, F9, 78) (dual of [117, 9, 79]-code) | [i] | ||
16 | Linear OA(9109, 118, F9, 79) (dual of [118, 9, 80]-code) | [i] | ||
17 | Linear OA(937, 45, F9, 26) (dual of [45, 8, 27]-code) | [i] | ||
18 | Linear OA(990, 98, F9, 70) (dual of [98, 8, 71]-code) | [i] | ||
19 | Linear OA(937, 44, F9, 27) (dual of [44, 7, 28]-code) | [i] | ||
20 | Linear OA(939, 46, F9, 28) (dual of [46, 7, 29]-code) | [i] | ||
21 | Linear OA(9100, 107, F9, 79) (dual of [107, 7, 80]-code) | [i] | ||
22 | Linear OA(9116, 123, F9, 88) (dual of [123, 7, 89]-code) | [i] | ||
23 | Linear OA(937, 43, F9, 28) (dual of [43, 6, 29]-code) | [i] | ||
24 | Linear OA(939, 45, F9, 29) (dual of [45, 6, 30]-code) | [i] | ||
25 | Linear OA(9110, 116, F9, 88) (dual of [116, 6, 89]-code) | [i] | ||
26 | Linear OA(9110, 115, F9, 89) (dual of [115, 5, 90]-code) | [i] | ||
27 | Linear OA(991, 95, F9, 80) (dual of [95, 4, 81]-code) | [i] | ||
28 | Linear OA(9101, 105, F9, 87) (dual of [105, 4, 88]-code) | [i] | ||
29 | Linear OA(9103, 107, F9, 88) (dual of [107, 4, 89]-code) | [i] | ||
30 | Linear OA(9104, 108, F9, 89) (dual of [108, 4, 90]-code) | [i] | ||
31 | Linear OA(9128, 135, F9, 99) (dual of [135, 7, 100]-code) | [i] | ||
32 | Linear OA(9131, 141, F9, 98) (dual of [141, 10, 99]-code) | [i] | ||
33 | Linear OA(9141, 146, F9, 118) (dual of [146, 5, 119]-code) | [i] | ||
34 | Linear OA(9139, 147, F9, 110) (dual of [147, 8, 111]-code) | [i] | ||
35 | Linear OA(9136, 141, F9, 115) (dual of [141, 5, 116]-code) | [i] | ||
36 | Linear OA(9139, 144, F9, 117) (dual of [144, 5, 118]-code) | [i] | ||
37 | Linear OA(356, 76, F3, 26) (dual of [76, 20, 27]-code) | [i] | Concatenation of Two Codes | |
38 | Linear OA(354, 72, F3, 26) (dual of [72, 18, 27]-code) | [i] | ||
39 | Linear OA(350, 64, F3, 26) (dual of [64, 14, 27]-code) | [i] | ||
40 | Linear OA(348, 60, F3, 26) (dual of [60, 12, 27]-code) | [i] | ||
41 | Linear OA(344, 52, F3, 26) (dual of [52, 8, 27]-code) | [i] | ||
42 | Linear OOA(396, 52, F3, 2, 62) (dual of [(52, 2), 8, 63]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
43 | Linear OA(934, 45, F9, 22) (dual of [45, 11, 23]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
44 | Linear OA(971, 91, F9, 45) (dual of [91, 20, 46]-code) | [i] | ||
45 | Linear OA(970, 91, F9, 44) (dual of [91, 21, 45]-code) | [i] | ||
46 | Linear OA(969, 91, F9, 43) (dual of [91, 22, 44]-code) | [i] | ||
47 | Linear OA(968, 91, F9, 42) (dual of [91, 23, 43]-code) | [i] | ||
48 | Linear OA(963, 91, F9, 37) (dual of [91, 28, 38]-code) | [i] | ||
49 | Linear OA(962, 91, F9, 36) (dual of [91, 29, 37]-code) | [i] | ||
50 | Linear OA(961, 91, F9, 35) (dual of [91, 30, 36]-code) | [i] | ||
51 | Linear OA(960, 91, F9, 34) (dual of [91, 31, 35]-code) | [i] | ||
52 | Linear OA(959, 91, F9, 33) (dual of [91, 32, 34]-code) | [i] | ||
53 | Linear OA(953, 91, F9, 27) (dual of [91, 38, 28]-code) | [i] | ||
54 | Linear OA(9137, 59073, F9, 26) (dual of [59073, 58936, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
55 | Linear OA(9138, 59077, F9, 26) (dual of [59077, 58939, 27]-code) | [i] | ||
56 | Linear OA(9132, 59076, F9, 25) (dual of [59076, 58944, 26]-code) | [i] | ||
57 | Linear OA(990, 59078, F9, 17) (dual of [59078, 58988, 18]-code) | [i] | ||
58 | Linear OA(9120, 4782998, F9, 17) (dual of [4782998, 4782878, 18]-code) | [i] | ||
59 | Linear OA(979, 96, F9, 53) (dual of [96, 17, 54]-code) | [i] | Construction X with Cyclic Codes | |
60 | Linear OA(977, 96, F9, 52) (dual of [96, 19, 53]-code) | [i] | ||
61 | Linear OA(975, 96, F9, 51) (dual of [96, 21, 52]-code) | [i] | ||
62 | Linear OA(974, 97, F9, 50) (dual of [97, 23, 51]-code) | [i] | ||
63 | Linear OA(973, 97, F9, 49) (dual of [97, 24, 50]-code) | [i] | ||
64 | Linear OA(973, 106, F9, 40) (dual of [106, 33, 41]-code) | [i] | ||
65 | Linear OA(979, 97, F9, 53) (dual of [97, 18, 54]-code) | [i] | Construction XX with Cyclic Codes | |
66 | Linear OA(977, 97, F9, 52) (dual of [97, 20, 53]-code) | [i] | ||
67 | Linear OA(975, 97, F9, 51) (dual of [97, 22, 52]-code) | [i] | ||
68 | Linear OA(974, 98, F9, 50) (dual of [98, 24, 51]-code) | [i] | ||
69 | Linear OA(975, 112, F9, 39) (dual of [112, 37, 40]-code) | [i] | ||
70 | Linear OA(957, 107, F9, 29) (dual of [107, 50, 30]-code) | [i] | ||
71 | Linear OA(959, 109, F9, 30) (dual of [109, 50, 31]-code) | [i] | ||
72 | Linear OA(958, 103, F9, 32) (dual of [103, 45, 33]-code) | [i] | ||
73 | Linear OA(957, 101, F9, 32) (dual of [101, 44, 33]-code) | [i] | ||
74 | Linear OA(961, 106, F9, 33) (dual of [106, 45, 34]-code) | [i] | ||
75 | Linear OA(960, 104, F9, 33) (dual of [104, 44, 34]-code) | [i] | ||
76 | Linear OA(959, 101, F9, 33) (dual of [101, 42, 34]-code) | [i] | ||
77 | Linear OA(964, 109, F9, 34) (dual of [109, 45, 35]-code) | [i] | ||
78 | Linear OA(963, 107, F9, 34) (dual of [107, 44, 35]-code) | [i] | ||
79 | Linear OA(962, 104, F9, 34) (dual of [104, 42, 35]-code) | [i] | ||
80 | Linear OA(961, 101, F9, 34) (dual of [101, 40, 35]-code) | [i] | ||
81 | Linear OA(967, 111, F9, 35) (dual of [111, 44, 36]-code) | [i] | ||
82 | Linear OA(965, 107, F9, 35) (dual of [107, 42, 36]-code) | [i] | ||
83 | Linear OA(964, 104, F9, 35) (dual of [104, 40, 36]-code) | [i] | ||
84 | Linear OA(963, 101, F9, 35) (dual of [101, 38, 36]-code) | [i] | ||
85 | Linear OA(966, 109, F9, 35) (dual of [109, 43, 36]-code) | [i] | ||
86 | Linear OA(966, 103, F9, 36) (dual of [103, 37, 37]-code) | [i] | ||
87 | Linear OA(969, 111, F9, 36) (dual of [111, 42, 37]-code) | [i] | ||
88 | Linear OA(967, 107, F9, 36) (dual of [107, 40, 37]-code) | [i] | ||
89 | Linear OA(966, 104, F9, 36) (dual of [104, 38, 37]-code) | [i] | ||
90 | Linear OA(968, 109, F9, 36) (dual of [109, 41, 37]-code) | [i] | ||
91 | Linear OA(976, 122, F9, 39) (dual of [122, 46, 40]-code) | [i] | ||
92 | Linear OA(973, 119, F9, 37) (dual of [119, 46, 38]-code) | [i] | ||
93 | Linear OA(974, 119, F9, 39) (dual of [119, 45, 40]-code) | [i] | ||
94 | Linear OA(978, 124, F9, 40) (dual of [124, 46, 41]-code) | [i] | ||
95 | Linear OA(977, 119, F9, 40) (dual of [119, 42, 41]-code) | [i] | ||
96 | Linear OA(981, 127, F9, 41) (dual of [127, 46, 42]-code) | [i] | ||
97 | Linear OA(973, 118, F9, 39) (dual of [118, 45, 40]-code) | [i] | ||
98 | Linear OA(973, 118, F9, 39) (dual of [118, 45, 40]-code) | [i] | ||
99 | Linear OA(975, 118, F9, 40) (dual of [118, 43, 41]-code) | [i] | ||
100 | Linear OA(977, 122, F9, 40) (dual of [122, 45, 41]-code) | [i] | ||
101 | Linear OA(975, 119, F9, 40) (dual of [119, 44, 41]-code) | [i] | ||
102 | Linear OA(972, 115, F9, 39) (dual of [115, 43, 40]-code) | [i] | ||
103 | Linear OA(980, 125, F9, 41) (dual of [125, 45, 42]-code) | [i] | ||
104 | Linear OA(979, 123, F9, 41) (dual of [123, 44, 42]-code) | [i] | ||
105 | Linear OA(971, 112, F9, 39) (dual of [112, 41, 40]-code) | [i] | ||
106 | Linear OA(968, 109, F9, 37) (dual of [109, 41, 38]-code) | [i] | ||
107 | Linear OA(982, 126, F9, 42) (dual of [126, 44, 43]-code) | [i] | ||
108 | Linear OA(969, 108, F9, 39) (dual of [108, 39, 40]-code) | [i] | ||
109 | Linear OA(968, 105, F9, 39) (dual of [105, 37, 40]-code) | [i] | ||
110 | Linear OA(974, 117, F9, 40) (dual of [117, 43, 41]-code) | [i] | ||
111 | Linear OA(974, 117, F9, 40) (dual of [117, 43, 41]-code) | [i] | ||
112 | Linear OA(973, 114, F9, 40) (dual of [114, 41, 41]-code) | [i] | ||
113 | Linear OA(978, 121, F9, 41) (dual of [121, 43, 42]-code) | [i] | ||
114 | Linear OA(976, 118, F9, 41) (dual of [118, 42, 42]-code) | [i] | ||
115 | Linear OA(972, 111, F9, 40) (dual of [111, 39, 41]-code) | [i] | ||
116 | Linear OA(981, 124, F9, 42) (dual of [124, 43, 43]-code) | [i] | ||
117 | Linear OA(970, 107, F9, 40) (dual of [107, 37, 41]-code) | [i] | ||
118 | Linear OA(975, 116, F9, 41) (dual of [116, 41, 42]-code) | [i] | ||
119 | Linear OA(975, 116, F9, 41) (dual of [116, 41, 42]-code) | [i] | ||
120 | Linear OA(974, 113, F9, 41) (dual of [113, 39, 42]-code) | [i] | ||
121 | Linear OA(978, 118, F9, 42) (dual of [118, 40, 43]-code) | [i] | ||
122 | Linear OA(983, 124, F9, 43) (dual of [124, 41, 44]-code) | [i] | ||
123 | Linear OA(968, 103, F9, 41) (dual of [103, 35, 42]-code) | [i] | ||
124 | Linear OA(977, 116, F9, 42) (dual of [116, 39, 43]-code) | [i] | ||
125 | Linear OA(977, 116, F9, 42) (dual of [116, 39, 43]-code) | [i] | ||
126 | Linear OA(976, 113, F9, 42) (dual of [113, 37, 43]-code) | [i] | ||
127 | Linear OA(980, 118, F9, 43) (dual of [118, 38, 44]-code) | [i] | ||
128 | Linear OA(971, 106, F9, 42) (dual of [106, 35, 43]-code) | [i] | ||
129 | Linear OA(968, 100, F9, 42) (dual of [100, 32, 43]-code) | [i] | ||
130 | Linear OA(979, 116, F9, 43) (dual of [116, 37, 44]-code) | [i] | ||
131 | Linear OA(979, 116, F9, 43) (dual of [116, 37, 44]-code) | [i] | ||
132 | Linear OA(974, 109, F9, 43) (dual of [109, 35, 44]-code) | [i] | ||
133 | Linear OA(971, 103, F9, 43) (dual of [103, 32, 44]-code) | [i] | ||
134 | Linear OA(970, 100, F9, 43) (dual of [100, 30, 44]-code) | [i] | ||
135 | Linear OA(974, 106, F9, 44) (dual of [106, 32, 45]-code) | [i] | ||
136 | Linear OA(973, 103, F9, 44) (dual of [103, 30, 45]-code) | [i] | ||
137 | Linear OA(972, 100, F9, 44) (dual of [100, 28, 45]-code) | [i] | ||
138 | Linear OA(976, 106, F9, 45) (dual of [106, 30, 46]-code) | [i] | ||
139 | Linear OA(975, 103, F9, 45) (dual of [103, 28, 46]-code) | [i] | ||
140 | Linear OA(983, 116, F9, 49) (dual of [116, 33, 50]-code) | [i] | ||
141 | Linear OA(987, 120, F9, 50) (dual of [120, 33, 51]-code) | [i] | ||
142 | Linear OA(986, 117, F9, 50) (dual of [117, 31, 51]-code) | [i] | ||
143 | Linear OA(990, 123, F9, 51) (dual of [123, 33, 52]-code) | [i] | ||
144 | Linear OA(982, 114, F9, 49) (dual of [114, 32, 50]-code) | [i] | ||
145 | Linear OA(982, 114, F9, 49) (dual of [114, 32, 50]-code) | [i] | ||
146 | Linear OA(984, 115, F9, 50) (dual of [115, 31, 51]-code) | [i] | ||
147 | Linear OA(984, 116, F9, 50) (dual of [116, 32, 51]-code) | [i] | ||
148 | Linear OA(981, 111, F9, 49) (dual of [111, 30, 50]-code) | [i] | ||
149 | Linear OA(977, 107, F9, 46) (dual of [107, 30, 47]-code) | [i] | ||
150 | Linear OA(979, 107, F9, 49) (dual of [107, 28, 50]-code) | [i] | ||
151 | Linear OA(991, 122, F9, 52) (dual of [122, 31, 53]-code) | [i] | ||
152 | Linear OA(978, 104, F9, 49) (dual of [104, 26, 50]-code) | [i] | ||
153 | Linear OA(985, 115, F9, 51) (dual of [115, 30, 52]-code) | [i] | ||
154 | Linear OA(990, 120, F9, 52) (dual of [120, 30, 53]-code) | [i] | ||
155 | Linear OA(987, 115, F9, 52) (dual of [115, 28, 53]-code) | [i] | ||
156 | Linear OA(989, 115, F9, 53) (dual of [115, 26, 54]-code) | [i] | ||
157 | Linear OA(977, 98, F9, 52) (dual of [98, 21, 53]-code) | [i] | ||
158 | Linear OA(979, 98, F9, 53) (dual of [98, 19, 54]-code) | [i] | ||
159 | Linear OA(990, 112, F9, 59) (dual of [112, 22, 60]-code) | [i] | ||
160 | Linear OA(993, 115, F9, 60) (dual of [115, 22, 61]-code) | [i] | ||
161 | Linear OA(997, 119, F9, 61) (dual of [119, 22, 62]-code) | [i] | ||
162 | Linear OA(9101, 121, F9, 63) (dual of [121, 20, 64]-code) | [i] | ||
163 | Linear OA(9102, 121, F9, 64) (dual of [121, 19, 65]-code) | [i] | ||
164 | Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) | [i] | ||
165 | Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) | [i] | ||
166 | Linear OA(984, 105, F9, 55) (dual of [105, 21, 56]-code) | [i] | ||
167 | Linear OA(991, 111, F9, 60) (dual of [111, 20, 61]-code) | [i] | ||
168 | Linear OA(991, 112, F9, 60) (dual of [112, 21, 61]-code) | [i] | ||
169 | Linear OA(986, 105, F9, 58) (dual of [105, 19, 59]-code) | [i] | ||
170 | Linear OA(994, 114, F9, 61) (dual of [114, 20, 62]-code) | [i] | ||
171 | Linear OA(986, 103, F9, 59) (dual of [103, 17, 60]-code) | [i] | ||
172 | Linear OA(998, 118, F9, 62) (dual of [118, 20, 63]-code) | [i] | ||
173 | Linear OA(9102, 121, F9, 65) (dual of [121, 19, 66]-code) | [i] | ||
174 | Linear OA(9103, 121, F9, 66) (dual of [121, 18, 67]-code) | [i] | ||
175 | Linear OA(9104, 121, F9, 67) (dual of [121, 17, 68]-code) | [i] | ||
176 | Linear OA(992, 111, F9, 61) (dual of [111, 19, 62]-code) | [i] | ||
177 | Linear OA(9104, 121, F9, 68) (dual of [121, 17, 69]-code) | [i] | ||
178 | Linear OA(994, 111, F9, 62) (dual of [111, 17, 63]-code) | [i] | ||
179 | Linear OA(984, 96, F9, 62) (dual of [96, 12, 63]-code) | [i] | ||
180 | Linear OA(995, 108, F9, 69) (dual of [108, 13, 70]-code) | [i] | ||
181 | Linear OA(991, 103, F9, 67) (dual of [103, 12, 68]-code) | [i] | ||
182 | Linear OA(996, 108, F9, 70) (dual of [108, 12, 71]-code) | [i] | ||
183 | Linear OA(992, 102, F9, 69) (dual of [102, 10, 70]-code) | [i] | ||
184 | Linear OA(986, 94, F9, 70) (dual of [94, 8, 71]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
185 | Linear OA(984, 95, F9, 62) (dual of [95, 11, 63]-code) | [i] | ||
186 | Linear OA(982, 95, F9, 61) (dual of [95, 13, 62]-code) | [i] | ||
187 | Linear OA(981, 96, F9, 60) (dual of [96, 15, 61]-code) | [i] | ||
188 | Linear OA(972, 99, F9, 44) (dual of [99, 27, 45]-code) | [i] | ||
189 | Linear OA(970, 99, F9, 43) (dual of [99, 29, 44]-code) | [i] | ||
190 | Linear OA(968, 99, F9, 42) (dual of [99, 31, 43]-code) | [i] | ||
191 | Linear OA(966, 99, F9, 41) (dual of [99, 33, 42]-code) | [i] | ||
192 | Linear OA(965, 100, F9, 40) (dual of [100, 35, 41]-code) | [i] | ||
193 | Linear OA(963, 100, F9, 35) (dual of [100, 37, 36]-code) | [i] | ||
194 | Linear OA(961, 100, F9, 34) (dual of [100, 39, 35]-code) | [i] | ||
195 | Linear OA(959, 100, F9, 33) (dual of [100, 41, 34]-code) | [i] | ||
196 | Linear OA(957, 100, F9, 32) (dual of [100, 43, 33]-code) | [i] | ||
197 | Linear OA(955, 100, F9, 31) (dual of [100, 45, 32]-code) | [i] | ||
198 | Linear OA(9110, 123, F9, 75) (dual of [123, 13, 76]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
199 | Linear OA(981, 107, F9, 50) (dual of [107, 26, 51]-code) | [i] | ||
200 | Linear OA(997, 103, F9, 80) (dual of [103, 6, 81]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
201 | Linear OA(990, 94, F9, 80) (dual of [94, 4, 81]-code) | [i] | Construction X with Ovoid |