Information on Result #608265

Linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using Hamming code H(2,8)

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.

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Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(89, 66, F8, 5) (dual of [66, 57, 6]-code) [i](u, u+v)-Construction
2Linear OA(816, 8075, F8, 5) (dual of [8075, 8059, 6]-code) [i]
3Linear OA(828, 524299, F8, 5) (dual of [524299, 524271, 6]-code) [i]
4Linear OA(831, 2097162, F8, 5) (dual of [2097162, 2097131, 6]-code) [i]
5Linear OA(818, 32777, F8, 4) (dual of [32777, 32759, 5]-code) [i]
6Linear OA(824, 2097161, F8, 4) (dual of [2097161, 2097137, 5]-code) [i]
7Linear OA(818, 32782, F8, 4) (dual of [32782, 32764, 5]-code) [i]
8OA(821, 130571, S8, 5) [i]
9OA(818, 130569, S8, 4) [i]
10Linear OA(875, 82, F8, 57) (dual of [82, 7, 58]-code) [i]Juxtaposition
11Linear OA(8132, 139, F8, 105) (dual of [139, 7, 106]-code) [i]
12Linear OA(841, 32785, F8, 8) (dual of [32785, 32744, 9]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(855, 2097169, F8, 8) (dual of [2097169, 2097114, 9]-code) [i]
14Linear OA(812, 29, F8, 7) (dual of [29, 17, 8]-code) [i]
15Linear OA(836, 32788, F8, 7) (dual of [32788, 32752, 8]-code) [i]
16Linear OA(848, 2097172, F8, 7) (dual of [2097172, 2097124, 8]-code) [i]
17Linear OA(817, 8084, F8, 5) (dual of [8084, 8067, 6]-code) [i]
18Linear OA(832, 2097171, F8, 5) (dual of [2097171, 2097139, 6]-code) [i]
19Linear OA(882, 594, F8, 25) (dual of [594, 512, 26]-code) [i]Construction X with Cyclic Codes
20Linear OA(886, 594, F8, 26) (dual of [594, 508, 27]-code) [i]
21Linear OA(8108, 594, F8, 33) (dual of [594, 486, 34]-code) [i]
22Linear OA(8112, 594, F8, 34) (dual of [594, 482, 35]-code) [i]
23Linear OA(8124, 594, F8, 37) (dual of [594, 470, 38]-code) [i]
24Linear OA(8128, 594, F8, 38) (dual of [594, 466, 39]-code) [i]
25Linear OA(8134, 594, F8, 41) (dual of [594, 460, 42]-code) [i]
26Linear OA(8138, 594, F8, 42) (dual of [594, 456, 43]-code) [i]
27Linear OA(819, 525, F8, 6) (dual of [525, 506, 7]-code) [i]Construction XX with Cyclic Codes
28Linear OA(819, 527, F8, 6) (dual of [527, 508, 7]-code) [i]
29Linear OA(818, 523, F8, 6) (dual of [523, 505, 7]-code) [i]
30Linear OA(822, 525, F8, 7) (dual of [525, 503, 8]-code) [i]
31Linear OA(822, 527, F8, 7) (dual of [527, 505, 8]-code) [i]
32Linear OA(821, 523, F8, 7) (dual of [523, 502, 8]-code) [i]
33Linear OA(825, 527, F8, 8) (dual of [527, 502, 9]-code) [i]
34Linear OA(824, 523, F8, 8) (dual of [523, 499, 9]-code) [i]
35Linear OA(833, 530, F8, 11) (dual of [530, 497, 12]-code) [i]
36Linear OA(836, 530, F8, 12) (dual of [530, 494, 13]-code) [i]
37Linear OA(833, 523, F8, 12) (dual of [523, 490, 13]-code) [i]
38Linear OA(836, 523, F8, 13) (dual of [523, 487, 14]-code) [i]
39Linear OA(837, 527, F8, 13) (dual of [527, 490, 14]-code) [i]
40Linear OA(840, 527, F8, 14) (dual of [527, 487, 15]-code) [i]
41Linear OA(839, 523, F8, 14) (dual of [523, 484, 15]-code) [i]
42Linear OA(846, 536, F8, 15) (dual of [536, 490, 16]-code) [i]
43Linear OA(843, 527, F8, 15) (dual of [527, 484, 16]-code) [i]
44Linear OA(842, 523, F8, 15) (dual of [523, 481, 16]-code) [i]
45Linear OA(849, 536, F8, 16) (dual of [536, 487, 17]-code) [i]
46Linear OA(846, 527, F8, 16) (dual of [527, 481, 17]-code) [i]
47Linear OA(845, 523, F8, 16) (dual of [523, 478, 17]-code) [i]
48Linear OA(858, 542, F8, 19) (dual of [542, 484, 20]-code) [i]
49Linear OA(861, 542, F8, 20) (dual of [542, 481, 21]-code) [i]
50Linear OA(855, 533, F8, 19) (dual of [533, 478, 20]-code) [i]
51Linear OA(854, 530, F8, 19) (dual of [530, 476, 20]-code) [i]
52Linear OA(864, 542, F8, 21) (dual of [542, 478, 22]-code) [i]
53Linear OA(857, 530, F8, 20) (dual of [530, 473, 21]-code) [i]
54Linear OA(854, 523, F8, 20) (dual of [523, 469, 21]-code) [i]
55Linear OA(857, 523, F8, 21) (dual of [523, 466, 22]-code) [i]
56Linear OA(858, 527, F8, 21) (dual of [527, 469, 22]-code) [i]
57Linear OA(861, 527, F8, 22) (dual of [527, 466, 23]-code) [i]
58Linear OA(860, 523, F8, 22) (dual of [523, 463, 23]-code) [i]
59Linear OA(867, 536, F8, 23) (dual of [536, 469, 24]-code) [i]
60Linear OA(864, 527, F8, 23) (dual of [527, 463, 24]-code) [i]
61Linear OA(863, 523, F8, 23) (dual of [523, 460, 24]-code) [i]
62Linear OA(870, 536, F8, 24) (dual of [536, 466, 25]-code) [i]
63Linear OA(883, 549, F8, 27) (dual of [549, 466, 28]-code) [i]
64Linear OA(867, 527, F8, 24) (dual of [527, 460, 25]-code) [i]
65Linear OA(866, 523, F8, 24) (dual of [523, 457, 25]-code) [i]
66Linear OA(879, 542, F8, 27) (dual of [542, 463, 28]-code) [i]
67Linear OA(882, 542, F8, 28) (dual of [542, 460, 29]-code) [i]
68Linear OA(876, 533, F8, 27) (dual of [533, 457, 28]-code) [i]
69Linear OA(875, 530, F8, 27) (dual of [530, 455, 28]-code) [i]
70Linear OA(885, 542, F8, 29) (dual of [542, 457, 30]-code) [i]
71Linear OA(878, 530, F8, 28) (dual of [530, 452, 29]-code) [i]
72Linear OA(875, 523, F8, 28) (dual of [523, 448, 29]-code) [i]
73Linear OA(878, 523, F8, 29) (dual of [523, 445, 30]-code) [i]
74Linear OA(879, 527, F8, 29) (dual of [527, 448, 30]-code) [i]
75Linear OA(882, 527, F8, 30) (dual of [527, 445, 31]-code) [i]
76Linear OA(881, 523, F8, 30) (dual of [523, 442, 31]-code) [i]
77Linear OA(888, 536, F8, 31) (dual of [536, 448, 32]-code) [i]
78Linear OA(885, 527, F8, 31) (dual of [527, 442, 32]-code) [i]
79Linear OA(884, 523, F8, 31) (dual of [523, 439, 32]-code) [i]
80Linear OA(891, 536, F8, 32) (dual of [536, 445, 33]-code) [i]
81Linear OA(8104, 549, F8, 35) (dual of [549, 445, 36]-code) [i]
82Linear OA(888, 527, F8, 32) (dual of [527, 439, 33]-code) [i]
83Linear OA(887, 523, F8, 32) (dual of [523, 436, 33]-code) [i]
84Linear OA(8100, 542, F8, 35) (dual of [542, 442, 36]-code) [i]
85Linear OA(8103, 542, F8, 36) (dual of [542, 439, 37]-code) [i]
86Linear OA(897, 533, F8, 35) (dual of [533, 436, 36]-code) [i]
87Linear OA(896, 530, F8, 35) (dual of [530, 434, 36]-code) [i]
88Linear OA(8106, 542, F8, 37) (dual of [542, 436, 38]-code) [i]
89Linear OA(899, 530, F8, 36) (dual of [530, 431, 37]-code) [i]
90Linear OA(896, 523, F8, 36) (dual of [523, 427, 37]-code) [i]
91Linear OA(899, 523, F8, 37) (dual of [523, 424, 38]-code) [i]
92Linear OA(8100, 527, F8, 37) (dual of [527, 427, 38]-code) [i]
93Linear OA(8103, 527, F8, 38) (dual of [527, 424, 39]-code) [i]
94Linear OA(8102, 523, F8, 38) (dual of [523, 421, 39]-code) [i]
95Linear OA(8109, 536, F8, 39) (dual of [536, 427, 40]-code) [i]
96Linear OA(8106, 527, F8, 39) (dual of [527, 421, 40]-code) [i]
97Linear OA(8105, 523, F8, 39) (dual of [523, 418, 40]-code) [i]
98Linear OA(8112, 536, F8, 40) (dual of [536, 424, 41]-code) [i]
99Linear OA(8125, 549, F8, 43) (dual of [549, 424, 44]-code) [i]
100Linear OA(8109, 527, F8, 40) (dual of [527, 418, 41]-code) [i]
101Linear OA(8108, 523, F8, 40) (dual of [523, 415, 41]-code) [i]
102Linear OA(8121, 542, F8, 43) (dual of [542, 421, 44]-code) [i]
103Linear OA(8124, 542, F8, 44) (dual of [542, 418, 45]-code) [i]
104Linear OA(8118, 533, F8, 43) (dual of [533, 415, 44]-code) [i]
105Linear OA(8117, 530, F8, 43) (dual of [530, 413, 44]-code) [i]
106Linear OA(8127, 542, F8, 45) (dual of [542, 415, 46]-code) [i]
107Linear OA(8120, 530, F8, 44) (dual of [530, 410, 45]-code) [i]
108Linear OA(8117, 523, F8, 44) (dual of [523, 406, 45]-code) [i]
109Linear OA(8120, 523, F8, 45) (dual of [523, 403, 46]-code) [i]
110Linear OA(8121, 527, F8, 45) (dual of [527, 406, 46]-code) [i]
111Linear OA(8124, 527, F8, 46) (dual of [527, 403, 47]-code) [i]
112Linear OA(8123, 523, F8, 46) (dual of [523, 400, 47]-code) [i]
113Linear OA(8130, 536, F8, 47) (dual of [536, 406, 48]-code) [i]
114Linear OA(8127, 527, F8, 47) (dual of [527, 400, 48]-code) [i]
115Linear OA(8126, 523, F8, 47) (dual of [523, 397, 48]-code) [i]
116Linear OA(8133, 536, F8, 48) (dual of [536, 403, 49]-code) [i]
117Linear OA(8146, 549, F8, 51) (dual of [549, 403, 52]-code) [i]
118Linear OA(8130, 527, F8, 48) (dual of [527, 397, 49]-code) [i]
119Linear OA(8129, 523, F8, 48) (dual of [523, 394, 49]-code) [i]
120Linear OA(8142, 542, F8, 51) (dual of [542, 400, 52]-code) [i]
121Linear OA(8145, 542, F8, 52) (dual of [542, 397, 53]-code) [i]
122Linear OA(8139, 533, F8, 51) (dual of [533, 394, 52]-code) [i]
123Linear OA(8138, 530, F8, 51) (dual of [530, 392, 52]-code) [i]
124Linear OA(8148, 542, F8, 53) (dual of [542, 394, 54]-code) [i]
125Linear OA(8141, 530, F8, 52) (dual of [530, 389, 53]-code) [i]
126Linear OA(8138, 523, F8, 52) (dual of [523, 385, 53]-code) [i]
127Linear OA(8141, 523, F8, 53) (dual of [523, 382, 54]-code) [i]
128Linear OA(8142, 527, F8, 53) (dual of [527, 385, 54]-code) [i]
129Linear OA(8145, 527, F8, 54) (dual of [527, 382, 55]-code) [i]
130Linear OA(8144, 523, F8, 54) (dual of [523, 379, 55]-code) [i]
131Linear OA(8151, 536, F8, 55) (dual of [536, 385, 56]-code) [i]
132Linear OA(8148, 527, F8, 55) (dual of [527, 379, 56]-code) [i]
133Linear OA(8147, 523, F8, 55) (dual of [523, 376, 56]-code) [i]
134Linear OA(8154, 536, F8, 56) (dual of [536, 382, 57]-code) [i]
135Linear OA(8167, 549, F8, 59) (dual of [549, 382, 60]-code) [i]
136Linear OA(8151, 527, F8, 56) (dual of [527, 376, 57]-code) [i]
137Linear OA(8150, 523, F8, 56) (dual of [523, 373, 57]-code) [i]
138Linear OA(8163, 542, F8, 59) (dual of [542, 379, 60]-code) [i]
139Linear OA(8166, 542, F8, 60) (dual of [542, 376, 61]-code) [i]
140Linear OA(8160, 533, F8, 59) (dual of [533, 373, 60]-code) [i]
141Linear OA(8159, 530, F8, 59) (dual of [530, 371, 60]-code) [i]
142Linear OA(8169, 542, F8, 61) (dual of [542, 373, 62]-code) [i]
143Linear OA(8162, 530, F8, 60) (dual of [530, 368, 61]-code) [i]
144Linear OA(8159, 523, F8, 60) (dual of [523, 364, 61]-code) [i]
145Linear OA(8162, 523, F8, 61) (dual of [523, 361, 62]-code) [i]
146Linear OA(8163, 527, F8, 61) (dual of [527, 364, 62]-code) [i]
147Linear OA(8166, 527, F8, 62) (dual of [527, 361, 63]-code) [i]
148Linear OA(8165, 523, F8, 62) (dual of [523, 358, 63]-code) [i]
149Linear OA(8172, 536, F8, 63) (dual of [536, 364, 64]-code) [i]
150Linear OA(8169, 527, F8, 63) (dual of [527, 358, 64]-code) [i]
151Linear OA(8168, 523, F8, 63) (dual of [523, 355, 64]-code) [i]
152Linear OA(8172, 527, F8, 64) (dual of [527, 355, 65]-code) [i]
153Linear OA(8171, 523, F8, 64) (dual of [523, 352, 65]-code) [i]
154Linear OA(886, 598, F8, 26) (dual of [598, 512, 27]-code) [i]
155Linear OA(8112, 598, F8, 34) (dual of [598, 486, 35]-code) [i]
156Linear OA(8116, 598, F8, 35) (dual of [598, 482, 36]-code) [i]
157Linear OA(8120, 598, F8, 36) (dual of [598, 478, 37]-code) [i]
158Linear OA(8124, 598, F8, 37) (dual of [598, 474, 38]-code) [i]
159Linear OA(8138, 598, F8, 42) (dual of [598, 460, 43]-code) [i]
160Linear OA(8100, 835, F8, 29) (dual of [835, 735, 30]-code) [i]
161Linear OA(899, 832, F8, 29) (dual of [832, 733, 30]-code) [i]
162Linear OA(8103, 832, F8, 30) (dual of [832, 729, 31]-code) [i]
163Linear OA(8104, 837, F8, 30) (dual of [837, 733, 31]-code) [i]
164Linear OA(8107, 832, F8, 31) (dual of [832, 725, 32]-code) [i]
165Linear OA(8111, 832, F8, 32) (dual of [832, 721, 33]-code) [i]
166Linear OA(8112, 833, F8, 33) (dual of [833, 721, 34]-code) [i]
167Linear OA(8116, 834, F8, 34) (dual of [834, 718, 35]-code) [i]
168Linear OA(8115, 832, F8, 34) (dual of [832, 717, 35]-code) [i]
169Linear OA(8120, 834, F8, 35) (dual of [834, 714, 36]-code) [i]
170Linear OA(8119, 832, F8, 35) (dual of [832, 713, 36]-code) [i]
171Linear OA(8120, 837, F8, 35) (dual of [837, 717, 36]-code) [i]
172Linear OA(8123, 832, F8, 36) (dual of [832, 709, 37]-code) [i]
173Linear OA(8124, 837, F8, 36) (dual of [837, 713, 37]-code) [i]
174Linear OA(8127, 832, F8, 37) (dual of [832, 705, 38]-code) [i]
175Linear OA(8131, 832, F8, 38) (dual of [832, 701, 39]-code) [i]
176Linear OA(8173, 524, F8, 64) (dual of [524, 351, 65]-code) [i]Construction XX with a Chain of Cyclic Codes
177Linear OA(8171, 262153, F8, 33) (dual of [262153, 261982, 34]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
178Linear OA(8135, 262153, F8, 26) (dual of [262153, 262018, 27]-code) [i]
179Linear OA(8129, 262153, F8, 25) (dual of [262153, 262024, 26]-code) [i]
180Linear OA(893, 262153, F8, 18) (dual of [262153, 262060, 19]-code) [i]
181Linear OA(887, 262153, F8, 17) (dual of [262153, 262066, 18]-code) [i]
182Linear OA(851, 262153, F8, 10) (dual of [262153, 262102, 11]-code) [i]
183Linear OA(845, 262153, F8, 9) (dual of [262153, 262108, 10]-code) [i]
184Linear OA(8148, 32777, F8, 34) (dual of [32777, 32629, 35]-code) [i]
185Linear OA(8143, 32777, F8, 33) (dual of [32777, 32634, 34]-code) [i]
186Linear OA(8113, 32777, F8, 26) (dual of [32777, 32664, 27]-code) [i]
187Linear OA(8108, 32777, F8, 25) (dual of [32777, 32669, 26]-code) [i]
188Linear OA(878, 32777, F8, 18) (dual of [32777, 32699, 19]-code) [i]
189Linear OA(873, 32777, F8, 17) (dual of [32777, 32704, 18]-code) [i]
190Linear OA(843, 32777, F8, 10) (dual of [32777, 32734, 11]-code) [i]
191Linear OA(838, 32777, F8, 9) (dual of [32777, 32739, 10]-code) [i]
192Linear OA(8171, 4105, F8, 49) (dual of [4105, 3934, 50]-code) [i]
193Linear OA(8147, 4105, F8, 42) (dual of [4105, 3958, 43]-code) [i]
194Linear OA(8143, 4105, F8, 41) (dual of [4105, 3962, 42]-code) [i]
195Linear OA(8119, 4105, F8, 34) (dual of [4105, 3986, 35]-code) [i]
196Linear OA(8115, 4105, F8, 33) (dual of [4105, 3990, 34]-code) [i]
197Linear OA(891, 4105, F8, 26) (dual of [4105, 4014, 27]-code) [i]
198Linear OA(887, 4105, F8, 25) (dual of [4105, 4018, 26]-code) [i]
199Linear OA(863, 4105, F8, 18) (dual of [4105, 4042, 19]-code) [i]
200Linear OA(859, 4105, F8, 17) (dual of [4105, 4046, 18]-code) [i]
201Linear OA(835, 4105, F8, 10) (dual of [4105, 4070, 11]-code) [i]
202Linear OA(831, 4105, F8, 9) (dual of [4105, 4074, 10]-code) [i]
203Linear OA(8171, 1375, F8, 50) (dual of [1375, 1204, 51]-code) [i]
204Linear OA(8167, 1375, F8, 49) (dual of [1375, 1208, 50]-code) [i]
205Linear OA(8155, 1375, F8, 45) (dual of [1375, 1220, 46]-code) [i]
206Linear OA(8151, 1375, F8, 44) (dual of [1375, 1224, 45]-code) [i]
207Linear OA(8115, 829, F8, 34) (dual of [829, 714, 35]-code) [i]
208Linear OA(8111, 829, F8, 33) (dual of [829, 718, 34]-code) [i]
209Linear OA(895, 829, F8, 28) (dual of [829, 734, 29]-code) [i]
210Linear OA(8168, 521, F8, 63) (dual of [521, 353, 64]-code) [i]
211Linear OA(8165, 521, F8, 62) (dual of [521, 356, 63]-code) [i]
212Linear OA(8162, 521, F8, 61) (dual of [521, 359, 62]-code) [i]
213Linear OA(8159, 521, F8, 60) (dual of [521, 362, 61]-code) [i]
214Linear OA(8144, 521, F8, 54) (dual of [521, 377, 55]-code) [i]
215Linear OA(8138, 521, F8, 52) (dual of [521, 383, 53]-code) [i]
216Linear OA(8126, 521, F8, 47) (dual of [521, 395, 48]-code) [i]
217Linear OA(8123, 521, F8, 46) (dual of [521, 398, 47]-code) [i]
218Linear OA(8120, 521, F8, 45) (dual of [521, 401, 46]-code) [i]
219Linear OA(8117, 521, F8, 44) (dual of [521, 404, 45]-code) [i]
220Linear OA(8102, 521, F8, 38) (dual of [521, 419, 39]-code) [i]
221Linear OA(896, 521, F8, 36) (dual of [521, 425, 37]-code) [i]
222Linear OA(884, 521, F8, 31) (dual of [521, 437, 32]-code) [i]
223Linear OA(881, 521, F8, 30) (dual of [521, 440, 31]-code) [i]
224Linear OA(878, 521, F8, 29) (dual of [521, 443, 30]-code) [i]
225Linear OA(875, 521, F8, 28) (dual of [521, 446, 29]-code) [i]
226Linear OA(860, 521, F8, 22) (dual of [521, 461, 23]-code) [i]
227Linear OA(854, 521, F8, 20) (dual of [521, 467, 21]-code) [i]
228Linear OA(842, 521, F8, 15) (dual of [521, 479, 16]-code) [i]
229Linear OA(839, 521, F8, 14) (dual of [521, 482, 15]-code) [i]
230Linear OA(836, 521, F8, 13) (dual of [521, 485, 14]-code) [i]
231Linear OA(833, 521, F8, 12) (dual of [521, 488, 13]-code) [i]