Information on Result #606809
Linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using extended Reed–Solomon code RSe(8,9)
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
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(99, 83, F9, 5) (dual of [83, 74, 6]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(916, 12972, F9, 5) (dual of [12972, 12956, 6]-code) | [i] | ||
3 | Linear OA(928, 1062894, F9, 5) (dual of [1062894, 1062866, 6]-code) | [i] | ||
4 | Linear OA(931, 4782980, F9, 5) (dual of [4782980, 4782949, 6]-code) | [i] | ||
5 | Linear OA(918, 59059, F9, 4) (dual of [59059, 59041, 5]-code) | [i] | ||
6 | Linear OA(924, 4782979, F9, 4) (dual of [4782979, 4782955, 5]-code) | [i] | ||
7 | Linear OA(918, 59064, F9, 4) (dual of [59064, 59046, 5]-code) | [i] | ||
8 | Linear OA(983, 91, F9, 64) (dual of [91, 8, 65]-code) | [i] | Juxtaposition | |
9 | Linear OA(9132, 140, F9, 104) (dual of [140, 8, 105]-code) | [i] | ||
10 | Linear OA(942, 59069, F9, 8) (dual of [59069, 59027, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
11 | Linear OA(956, 4782989, F9, 8) (dual of [4782989, 4782933, 9]-code) | [i] | ||
12 | Linear OA(936, 59070, F9, 7) (dual of [59070, 59034, 8]-code) | [i] | ||
13 | Linear OA(948, 4782990, F9, 7) (dual of [4782990, 4782942, 8]-code) | [i] | ||
14 | Linear OA(917, 12982, F9, 5) (dual of [12982, 12965, 6]-code) | [i] | ||
15 | Linear OA(932, 4782990, F9, 5) (dual of [4782990, 4782958, 6]-code) | [i] | ||
16 | Linear OA(9115, 4782980, F9, 18) (dual of [4782980, 4782865, 19]-code) | [i] | Construction X with Cyclic Codes | |
17 | Linear OA(999, 531452, F9, 18) (dual of [531452, 531353, 19]-code) | [i] | ||
18 | Linear OA(983, 59060, F9, 18) (dual of [59060, 58977, 19]-code) | [i] | ||
19 | Linear OA(9131, 6572, F9, 36) (dual of [6572, 6441, 37]-code) | [i] | ||
20 | Linear OA(967, 6572, F9, 18) (dual of [6572, 6505, 19]-code) | [i] | ||
21 | Linear OA(9111, 740, F9, 40) (dual of [740, 629, 41]-code) | [i] | ||
22 | Linear OA(999, 740, F9, 34) (dual of [740, 641, 35]-code) | [i] | ||
23 | Linear OA(993, 740, F9, 32) (dual of [740, 647, 33]-code) | [i] | ||
24 | Linear OA(987, 740, F9, 30) (dual of [740, 653, 31]-code) | [i] | ||
25 | Linear OA(981, 740, F9, 28) (dual of [740, 659, 29]-code) | [i] | ||
26 | Linear OA(975, 740, F9, 26) (dual of [740, 665, 27]-code) | [i] | ||
27 | Linear OA(969, 740, F9, 24) (dual of [740, 671, 25]-code) | [i] | ||
28 | Linear OA(963, 740, F9, 22) (dual of [740, 677, 23]-code) | [i] | ||
29 | Linear OA(951, 740, F9, 16) (dual of [740, 689, 17]-code) | [i] | ||
30 | Linear OA(990, 101, F9, 63) (dual of [101, 11, 64]-code) | [i] | ||
31 | Linear OA(983, 92, F9, 64) (dual of [92, 9, 65]-code) | [i] | ||
32 | Linear OA(951, 92, F9, 28) (dual of [92, 41, 29]-code) | [i] | ||
33 | Linear OA(947, 92, F9, 26) (dual of [92, 45, 27]-code) | [i] | ||
34 | Linear OA(943, 92, F9, 24) (dual of [92, 49, 25]-code) | [i] | ||
35 | Linear OA(9129, 374, F9, 53) (dual of [374, 245, 54]-code) | [i] | ||
36 | Linear OA(975, 830, F9, 22) (dual of [830, 755, 23]-code) | [i] | ||
37 | Linear OA(984, 830, F9, 24) (dual of [830, 746, 25]-code) | [i] | ||
38 | Linear OA(9100, 830, F9, 29) (dual of [830, 730, 30]-code) | [i] | ||
39 | Linear OA(999, 830, F9, 29) (dual of [830, 731, 30]-code) | [i] | ||
40 | Linear OA(9103, 830, F9, 30) (dual of [830, 727, 31]-code) | [i] | ||
41 | Linear OA(9124, 830, F9, 37) (dual of [830, 706, 38]-code) | [i] | ||
42 | Linear OA(9128, 830, F9, 38) (dual of [830, 702, 39]-code) | [i] | ||
43 | Linear OA(9140, 830, F9, 41) (dual of [830, 690, 42]-code) | [i] | ||
44 | Linear OA(9139, 830, F9, 41) (dual of [830, 691, 42]-code) | [i] | ||
45 | Linear OA(9144, 830, F9, 42) (dual of [830, 686, 43]-code) | [i] | ||
46 | Linear OA(9143, 830, F9, 42) (dual of [830, 687, 43]-code) | [i] | ||
47 | Linear OA(9131, 382, F9, 53) (dual of [382, 251, 54]-code) | [i] | Construction XX with Cyclic Codes | |
48 | Linear OA(9133, 378, F9, 54) (dual of [378, 245, 55]-code) | [i] | ||
49 | Linear OA(9132, 377, F9, 54) (dual of [377, 245, 55]-code) | [i] | ||
50 | Linear OA(919, 743, F9, 6) (dual of [743, 724, 7]-code) | [i] | ||
51 | Linear OA(919, 745, F9, 6) (dual of [745, 726, 7]-code) | [i] | ||
52 | Linear OA(918, 741, F9, 6) (dual of [741, 723, 7]-code) | [i] | ||
53 | Linear OA(922, 743, F9, 7) (dual of [743, 721, 8]-code) | [i] | ||
54 | Linear OA(922, 745, F9, 7) (dual of [745, 723, 8]-code) | [i] | ||
55 | Linear OA(921, 741, F9, 7) (dual of [741, 720, 8]-code) | [i] | ||
56 | Linear OA(925, 743, F9, 8) (dual of [743, 718, 9]-code) | [i] | ||
57 | Linear OA(925, 745, F9, 8) (dual of [745, 720, 9]-code) | [i] | ||
58 | Linear OA(924, 741, F9, 8) (dual of [741, 717, 9]-code) | [i] | ||
59 | Linear OA(928, 745, F9, 9) (dual of [745, 717, 10]-code) | [i] | ||
60 | Linear OA(927, 741, F9, 9) (dual of [741, 714, 10]-code) | [i] | ||
61 | Linear OA(938, 746, F9, 13) (dual of [746, 708, 14]-code) | [i] | ||
62 | Linear OA(937, 742, F9, 13) (dual of [742, 705, 14]-code) | [i] | ||
63 | Linear OA(941, 746, F9, 14) (dual of [746, 705, 15]-code) | [i] | ||
64 | Linear OA(939, 741, F9, 14) (dual of [741, 702, 15]-code) | [i] | ||
65 | Linear OA(943, 745, F9, 15) (dual of [745, 702, 16]-code) | [i] | ||
66 | Linear OA(942, 741, F9, 15) (dual of [741, 699, 16]-code) | [i] | ||
67 | Linear OA(946, 745, F9, 16) (dual of [745, 699, 17]-code) | [i] | ||
68 | Linear OA(945, 741, F9, 16) (dual of [741, 696, 17]-code) | [i] | ||
69 | Linear OA(949, 745, F9, 17) (dual of [745, 696, 18]-code) | [i] | ||
70 | Linear OA(948, 741, F9, 17) (dual of [741, 693, 18]-code) | [i] | ||
71 | Linear OA(952, 745, F9, 18) (dual of [745, 693, 19]-code) | [i] | ||
72 | Linear OA(951, 741, F9, 18) (dual of [741, 690, 19]-code) | [i] | ||
73 | Linear OA(962, 746, F9, 22) (dual of [746, 684, 23]-code) | [i] | ||
74 | Linear OA(961, 742, F9, 22) (dual of [742, 681, 23]-code) | [i] | ||
75 | Linear OA(963, 741, F9, 23) (dual of [741, 678, 24]-code) | [i] | ||
76 | Linear OA(967, 745, F9, 24) (dual of [745, 678, 25]-code) | [i] | ||
77 | Linear OA(966, 741, F9, 24) (dual of [741, 675, 25]-code) | [i] | ||
78 | Linear OA(970, 745, F9, 25) (dual of [745, 675, 26]-code) | [i] | ||
79 | Linear OA(969, 741, F9, 25) (dual of [741, 672, 26]-code) | [i] | ||
80 | Linear OA(973, 745, F9, 26) (dual of [745, 672, 27]-code) | [i] | ||
81 | Linear OA(972, 741, F9, 26) (dual of [741, 669, 27]-code) | [i] | ||
82 | Linear OA(976, 745, F9, 27) (dual of [745, 669, 28]-code) | [i] | ||
83 | Linear OA(975, 741, F9, 27) (dual of [741, 666, 28]-code) | [i] | ||
84 | Linear OA(986, 746, F9, 31) (dual of [746, 660, 32]-code) | [i] | ||
85 | Linear OA(985, 742, F9, 31) (dual of [742, 657, 32]-code) | [i] | ||
86 | Linear OA(989, 746, F9, 32) (dual of [746, 657, 33]-code) | [i] | ||
87 | Linear OA(987, 741, F9, 32) (dual of [741, 654, 33]-code) | [i] | ||
88 | Linear OA(991, 745, F9, 33) (dual of [745, 654, 34]-code) | [i] | ||
89 | Linear OA(990, 741, F9, 33) (dual of [741, 651, 34]-code) | [i] | ||
90 | Linear OA(994, 745, F9, 34) (dual of [745, 651, 35]-code) | [i] | ||
91 | Linear OA(993, 741, F9, 34) (dual of [741, 648, 35]-code) | [i] | ||
92 | Linear OA(997, 745, F9, 35) (dual of [745, 648, 36]-code) | [i] | ||
93 | Linear OA(996, 741, F9, 35) (dual of [741, 645, 36]-code) | [i] | ||
94 | Linear OA(9100, 745, F9, 36) (dual of [745, 645, 37]-code) | [i] | ||
95 | Linear OA(999, 741, F9, 36) (dual of [741, 642, 37]-code) | [i] | ||
96 | Linear OA(9110, 746, F9, 40) (dual of [746, 636, 41]-code) | [i] | ||
97 | Linear OA(9109, 742, F9, 40) (dual of [742, 633, 41]-code) | [i] | ||
98 | Linear OA(9111, 741, F9, 41) (dual of [741, 630, 42]-code) | [i] | ||
99 | Linear OA(9115, 745, F9, 42) (dual of [745, 630, 43]-code) | [i] | ||
100 | Linear OA(9114, 741, F9, 42) (dual of [741, 627, 43]-code) | [i] | ||
101 | Linear OA(9118, 745, F9, 43) (dual of [745, 627, 44]-code) | [i] | ||
102 | Linear OA(9117, 741, F9, 43) (dual of [741, 624, 44]-code) | [i] | ||
103 | Linear OA(9121, 745, F9, 44) (dual of [745, 624, 45]-code) | [i] | ||
104 | Linear OA(9120, 741, F9, 44) (dual of [741, 621, 45]-code) | [i] | ||
105 | Linear OA(9124, 745, F9, 45) (dual of [745, 621, 46]-code) | [i] | ||
106 | Linear OA(987, 834, F9, 25) (dual of [834, 747, 26]-code) | [i] | ||
107 | Linear OA(992, 839, F9, 26) (dual of [839, 747, 27]-code) | [i] | ||
108 | Linear OA(991, 834, F9, 26) (dual of [834, 743, 27]-code) | [i] | ||
109 | Linear OA(9100, 834, F9, 29) (dual of [834, 734, 30]-code) | [i] | ||
110 | Linear OA(9103, 834, F9, 30) (dual of [834, 731, 31]-code) | [i] | ||
111 | Linear OA(9107, 834, F9, 31) (dual of [834, 727, 32]-code) | [i] | ||
112 | Linear OA(9108, 839, F9, 31) (dual of [839, 731, 32]-code) | [i] | ||
113 | Linear OA(9128, 834, F9, 38) (dual of [834, 706, 39]-code) | [i] | ||
114 | Linear OA(9132, 834, F9, 39) (dual of [834, 702, 40]-code) | [i] | ||
115 | Linear OA(9136, 834, F9, 40) (dual of [834, 698, 41]-code) | [i] | ||
116 | Linear OA(9140, 834, F9, 41) (dual of [834, 694, 42]-code) | [i] | ||
117 | Linear OA(9144, 835, F9, 42) (dual of [835, 691, 43]-code) | [i] | ||
118 | Linear OA(9147, 834, F9, 43) (dual of [834, 687, 44]-code) | [i] | ||
119 | Linear OA(9122, 4782979, F9, 20) (dual of [4782979, 4782857, 21]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
120 | Linear OA(9115, 4782979, F9, 19) (dual of [4782979, 4782864, 20]-code) | [i] | ||
121 | Linear OA(966, 4782979, F9, 11) (dual of [4782979, 4782913, 12]-code) | [i] | ||
122 | Linear OA(959, 4782979, F9, 10) (dual of [4782979, 4782920, 11]-code) | [i] | ||
123 | Linear OA(9147, 531451, F9, 28) (dual of [531451, 531304, 29]-code) | [i] | ||
124 | Linear OA(9105, 531451, F9, 20) (dual of [531451, 531346, 21]-code) | [i] | ||
125 | Linear OA(999, 531451, F9, 19) (dual of [531451, 531352, 20]-code) | [i] | ||
126 | Linear OA(957, 531451, F9, 11) (dual of [531451, 531394, 12]-code) | [i] | ||
127 | Linear OA(951, 531451, F9, 10) (dual of [531451, 531400, 11]-code) | [i] | ||
128 | Linear OA(9128, 59059, F9, 29) (dual of [59059, 58931, 30]-code) | [i] | ||
129 | Linear OA(9123, 59059, F9, 28) (dual of [59059, 58936, 29]-code) | [i] | ||
130 | Linear OA(988, 59059, F9, 20) (dual of [59059, 58971, 21]-code) | [i] | ||
131 | Linear OA(983, 59059, F9, 19) (dual of [59059, 58976, 20]-code) | [i] | ||
132 | Linear OA(948, 59059, F9, 11) (dual of [59059, 59011, 12]-code) | [i] | ||
133 | Linear OA(943, 59059, F9, 10) (dual of [59059, 59016, 11]-code) | [i] | ||
134 | Linear OA(9135, 6571, F9, 38) (dual of [6571, 6436, 39]-code) | [i] | ||
135 | Linear OA(9131, 6571, F9, 37) (dual of [6571, 6440, 38]-code) | [i] | ||
136 | Linear OA(9103, 6571, F9, 29) (dual of [6571, 6468, 30]-code) | [i] | ||
137 | Linear OA(999, 6571, F9, 28) (dual of [6571, 6472, 29]-code) | [i] | ||
138 | Linear OA(971, 6571, F9, 20) (dual of [6571, 6500, 21]-code) | [i] | ||
139 | Linear OA(967, 6571, F9, 19) (dual of [6571, 6504, 20]-code) | [i] | ||
140 | Linear OA(939, 6571, F9, 11) (dual of [6571, 6532, 12]-code) | [i] | ||
141 | Linear OA(935, 6571, F9, 10) (dual of [6571, 6536, 11]-code) | [i] | ||
142 | Linear OA(9117, 739, F9, 43) (dual of [739, 622, 44]-code) | [i] | ||
143 | Linear OA(9114, 739, F9, 42) (dual of [739, 625, 43]-code) | [i] | ||
144 | Linear OA(9111, 739, F9, 41) (dual of [739, 628, 42]-code) | [i] | ||
145 | Linear OA(9108, 739, F9, 40) (dual of [739, 631, 41]-code) | [i] | ||
146 | Linear OA(999, 739, F9, 36) (dual of [739, 640, 37]-code) | [i] | ||
147 | Linear OA(996, 739, F9, 35) (dual of [739, 643, 36]-code) | [i] | ||
148 | Linear OA(993, 739, F9, 34) (dual of [739, 646, 35]-code) | [i] | ||
149 | Linear OA(990, 739, F9, 33) (dual of [739, 649, 34]-code) | [i] | ||
150 | Linear OA(987, 739, F9, 32) (dual of [739, 652, 33]-code) | [i] | ||
151 | Linear OA(984, 739, F9, 31) (dual of [739, 655, 32]-code) | [i] | ||
152 | Linear OA(975, 739, F9, 27) (dual of [739, 664, 28]-code) | [i] | ||
153 | Linear OA(972, 739, F9, 26) (dual of [739, 667, 27]-code) | [i] | ||
154 | Linear OA(969, 739, F9, 25) (dual of [739, 670, 26]-code) | [i] | ||
155 | Linear OA(966, 739, F9, 24) (dual of [739, 673, 25]-code) | [i] | ||
156 | Linear OA(963, 739, F9, 23) (dual of [739, 676, 24]-code) | [i] | ||
157 | Linear OA(960, 739, F9, 22) (dual of [739, 679, 23]-code) | [i] | ||
158 | Linear OA(951, 739, F9, 18) (dual of [739, 688, 19]-code) | [i] | ||
159 | Linear OA(948, 739, F9, 17) (dual of [739, 691, 18]-code) | [i] | ||
160 | Linear OA(945, 739, F9, 16) (dual of [739, 694, 17]-code) | [i] | ||
161 | Linear OA(942, 739, F9, 15) (dual of [739, 697, 16]-code) | [i] | ||
162 | Linear OA(939, 739, F9, 14) (dual of [739, 700, 15]-code) | [i] | ||
163 | Linear OA(936, 739, F9, 13) (dual of [739, 703, 14]-code) | [i] | ||
164 | Linear OA(927, 739, F9, 9) (dual of [739, 712, 10]-code) | [i] | ||
165 | Linear OA(924, 739, F9, 8) (dual of [739, 715, 9]-code) | [i] | ||
166 | Linear OA(918, 739, F9, 6) (dual of [739, 721, 7]-code) | [i] | ||
167 | Linear OA(9141, 375, F9, 58) (dual of [375, 234, 59]-code) | [i] | ||
168 | Linear OA(9132, 375, F9, 54) (dual of [375, 243, 55]-code) | [i] | ||
169 | Linear OA(9123, 375, F9, 50) (dual of [375, 252, 51]-code) | [i] | ||
170 | Linear OA(9120, 375, F9, 49) (dual of [375, 255, 50]-code) | [i] |