Information on Result #714436

Linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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:

ResultThis
result
only
Method
1Linear OA(812, 228, F8, 5) (dual of [228, 216, 6]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(868, 77, F8, 49) (dual of [77, 9, 50]-code) [i]Juxtaposition
3Linear OA(867, 75, F8, 49) (dual of [75, 8, 50]-code) [i]
4Linear OA(811, 171, F8, 5) (dual of [171, 160, 6]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(8124, 596, F8, 37) (dual of [596, 472, 38]-code) [i]Construction X with Cyclic Codes
6Linear OA(87, 67, F8, 4) (dual of [67, 60, 5]-code) [i]Construction XX with Cyclic Codes
7Linear OA(837, 526, F8, 13) (dual of [526, 489, 14]-code) [i]
8Linear OA(871, 547, F8, 22) (dual of [547, 476, 23]-code) [i]
9Linear OA(867, 547, F8, 21) (dual of [547, 480, 22]-code) [i]
10Linear OA(862, 545, F8, 20) (dual of [545, 483, 21]-code) [i]
11Linear OA(870, 547, F8, 22) (dual of [547, 477, 23]-code) [i]
12Linear OA(865, 545, F8, 21) (dual of [545, 480, 22]-code) [i]
13Linear OA(873, 547, F8, 23) (dual of [547, 474, 24]-code) [i]
14Linear OA(868, 545, F8, 22) (dual of [545, 477, 23]-code) [i]
15Linear OA(858, 526, F8, 21) (dual of [526, 468, 22]-code) [i]
16Linear OA(886, 547, F8, 28) (dual of [547, 461, 29]-code) [i]
17Linear OA(889, 547, F8, 29) (dual of [547, 458, 30]-code) [i]
18Linear OA(886, 549, F8, 28) (dual of [549, 463, 29]-code) [i]
19Linear OA(885, 547, F8, 28) (dual of [547, 462, 29]-code) [i]
20Linear OA(892, 547, F8, 30) (dual of [547, 455, 31]-code) [i]
21Linear OA(888, 547, F8, 29) (dual of [547, 459, 30]-code) [i]
22Linear OA(883, 545, F8, 28) (dual of [545, 462, 29]-code) [i]
23Linear OA(891, 547, F8, 30) (dual of [547, 456, 31]-code) [i]
24Linear OA(886, 545, F8, 29) (dual of [545, 459, 30]-code) [i]
25Linear OA(894, 547, F8, 31) (dual of [547, 453, 32]-code) [i]
26Linear OA(889, 545, F8, 30) (dual of [545, 456, 31]-code) [i]
27Linear OA(879, 526, F8, 29) (dual of [526, 447, 30]-code) [i]
28Linear OA(8107, 547, F8, 36) (dual of [547, 440, 37]-code) [i]
29Linear OA(8110, 547, F8, 37) (dual of [547, 437, 38]-code) [i]
30Linear OA(8107, 549, F8, 36) (dual of [549, 442, 37]-code) [i]
31Linear OA(8106, 547, F8, 36) (dual of [547, 441, 37]-code) [i]
32Linear OA(8113, 547, F8, 38) (dual of [547, 434, 39]-code) [i]
33Linear OA(8109, 547, F8, 37) (dual of [547, 438, 38]-code) [i]
34Linear OA(8104, 545, F8, 36) (dual of [545, 441, 37]-code) [i]
35Linear OA(8112, 547, F8, 38) (dual of [547, 435, 39]-code) [i]
36Linear OA(8107, 545, F8, 37) (dual of [545, 438, 38]-code) [i]
37Linear OA(8115, 547, F8, 39) (dual of [547, 432, 40]-code) [i]
38Linear OA(8110, 545, F8, 38) (dual of [545, 435, 39]-code) [i]
39Linear OA(8100, 526, F8, 37) (dual of [526, 426, 38]-code) [i]
40Linear OA(8128, 547, F8, 44) (dual of [547, 419, 45]-code) [i]
41Linear OA(8131, 547, F8, 45) (dual of [547, 416, 46]-code) [i]
42Linear OA(8128, 549, F8, 44) (dual of [549, 421, 45]-code) [i]
43Linear OA(8127, 547, F8, 44) (dual of [547, 420, 45]-code) [i]
44Linear OA(8134, 547, F8, 46) (dual of [547, 413, 47]-code) [i]
45Linear OA(8130, 547, F8, 45) (dual of [547, 417, 46]-code) [i]
46Linear OA(8125, 545, F8, 44) (dual of [545, 420, 45]-code) [i]
47Linear OA(8133, 547, F8, 46) (dual of [547, 414, 47]-code) [i]
48Linear OA(8128, 545, F8, 45) (dual of [545, 417, 46]-code) [i]
49Linear OA(8136, 547, F8, 47) (dual of [547, 411, 48]-code) [i]
50Linear OA(8131, 545, F8, 46) (dual of [545, 414, 47]-code) [i]
51Linear OA(8121, 526, F8, 45) (dual of [526, 405, 46]-code) [i]
52Linear OA(8149, 547, F8, 52) (dual of [547, 398, 53]-code) [i]
53Linear OA(8152, 547, F8, 53) (dual of [547, 395, 54]-code) [i]
54Linear OA(8149, 549, F8, 52) (dual of [549, 400, 53]-code) [i]
55Linear OA(8148, 547, F8, 52) (dual of [547, 399, 53]-code) [i]
56Linear OA(8155, 547, F8, 54) (dual of [547, 392, 55]-code) [i]
57Linear OA(8151, 547, F8, 53) (dual of [547, 396, 54]-code) [i]
58Linear OA(8146, 545, F8, 52) (dual of [545, 399, 53]-code) [i]
59Linear OA(8154, 547, F8, 54) (dual of [547, 393, 55]-code) [i]
60Linear OA(8149, 545, F8, 53) (dual of [545, 396, 54]-code) [i]
61Linear OA(8157, 547, F8, 55) (dual of [547, 390, 56]-code) [i]
62Linear OA(8152, 545, F8, 54) (dual of [545, 393, 55]-code) [i]
63Linear OA(8142, 526, F8, 53) (dual of [526, 384, 54]-code) [i]
64Linear OA(8170, 547, F8, 60) (dual of [547, 377, 61]-code) [i]
65Linear OA(8173, 547, F8, 61) (dual of [547, 374, 62]-code) [i]
66Linear OA(8170, 549, F8, 60) (dual of [549, 379, 61]-code) [i]
67Linear OA(8169, 547, F8, 60) (dual of [547, 378, 61]-code) [i]
68Linear OA(8172, 547, F8, 61) (dual of [547, 375, 62]-code) [i]
69Linear OA(8167, 545, F8, 60) (dual of [545, 378, 61]-code) [i]
70Linear OA(8170, 545, F8, 61) (dual of [545, 375, 62]-code) [i]
71Linear OA(8173, 545, F8, 62) (dual of [545, 372, 63]-code) [i]
72Linear OA(8163, 526, F8, 61) (dual of [526, 363, 62]-code) [i]
73Linear OA(8100, 836, F8, 29) (dual of [836, 736, 30]-code) [i]
74Linear OA(8104, 836, F8, 30) (dual of [836, 732, 31]-code) [i]
75Linear OA(8108, 838, F8, 31) (dual of [838, 730, 32]-code) [i]
76Linear OA(8128, 838, F8, 37) (dual of [838, 710, 38]-code) [i]
77Linear OA(8158, 2097169, F8, 26) (dual of [2097169, 2097011, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
78Linear OA(8151, 2097169, F8, 25) (dual of [2097169, 2097018, 26]-code) [i]
79Linear OA(8109, 2097169, F8, 18) (dual of [2097169, 2097060, 19]-code) [i]
80Linear OA(8102, 2097169, F8, 17) (dual of [2097169, 2097067, 18]-code) [i]
81Linear OA(860, 2097169, F8, 10) (dual of [2097169, 2097109, 11]-code) [i]
82Linear OA(853, 2097169, F8, 9) (dual of [2097169, 2097116, 10]-code) [i]
83Linear OA(8172, 2097176, F8, 28) (dual of [2097176, 2097004, 29]-code) [i]
84Linear OA(8144, 2097176, F8, 23) (dual of [2097176, 2097032, 24]-code) [i]
85Linear OA(8137, 2097176, F8, 22) (dual of [2097176, 2097039, 23]-code) [i]
86Linear OA(8130, 2097176, F8, 21) (dual of [2097176, 2097046, 22]-code) [i]
87Linear OA(8123, 2097176, F8, 20) (dual of [2097176, 2097053, 21]-code) [i]
88Linear OA(895, 2097176, F8, 15) (dual of [2097176, 2097081, 16]-code) [i]
89Linear OA(888, 2097176, F8, 14) (dual of [2097176, 2097088, 15]-code) [i]
90Linear OA(881, 2097176, F8, 13) (dual of [2097176, 2097095, 14]-code) [i]
91Linear OA(874, 2097176, F8, 12) (dual of [2097176, 2097102, 13]-code) [i]
92Linear OA(846, 2097176, F8, 7) (dual of [2097176, 2097130, 8]-code) [i]
93Linear OA(839, 2097176, F8, 6) (dual of [2097176, 2097137, 7]-code) [i]
94Linear OA(8172, 262159, F8, 33) (dual of [262159, 261987, 34]-code) [i]
95Linear OA(8136, 262159, F8, 26) (dual of [262159, 262023, 27]-code) [i]
96Linear OA(8130, 262159, F8, 25) (dual of [262159, 262029, 26]-code) [i]
97Linear OA(894, 262159, F8, 18) (dual of [262159, 262065, 19]-code) [i]
98Linear OA(888, 262159, F8, 17) (dual of [262159, 262071, 18]-code) [i]
99Linear OA(852, 262159, F8, 10) (dual of [262159, 262107, 11]-code) [i]
100Linear OA(846, 262159, F8, 9) (dual of [262159, 262113, 10]-code) [i]
101Linear OA(8166, 262165, F8, 31) (dual of [262165, 261999, 32]-code) [i]
102Linear OA(8160, 262165, F8, 30) (dual of [262165, 262005, 31]-code) [i]
103Linear OA(8154, 262165, F8, 29) (dual of [262165, 262011, 30]-code) [i]
104Linear OA(8148, 262165, F8, 28) (dual of [262165, 262017, 29]-code) [i]
105Linear OA(8124, 262165, F8, 23) (dual of [262165, 262041, 24]-code) [i]
106Linear OA(8118, 262165, F8, 22) (dual of [262165, 262047, 23]-code) [i]
107Linear OA(8112, 262165, F8, 21) (dual of [262165, 262053, 22]-code) [i]
108Linear OA(8106, 262165, F8, 20) (dual of [262165, 262059, 21]-code) [i]
109Linear OA(882, 262165, F8, 15) (dual of [262165, 262083, 16]-code) [i]
110Linear OA(876, 262165, F8, 14) (dual of [262165, 262089, 15]-code) [i]
111Linear OA(870, 262165, F8, 13) (dual of [262165, 262095, 14]-code) [i]
112Linear OA(864, 262165, F8, 12) (dual of [262165, 262101, 13]-code) [i]
113Linear OA(8149, 32781, F8, 34) (dual of [32781, 32632, 35]-code) [i]
114Linear OA(8144, 32781, F8, 33) (dual of [32781, 32637, 34]-code) [i]
115Linear OA(8114, 32781, F8, 26) (dual of [32781, 32667, 27]-code) [i]
116Linear OA(8109, 32781, F8, 25) (dual of [32781, 32672, 26]-code) [i]
117Linear OA(879, 32781, F8, 18) (dual of [32781, 32702, 19]-code) [i]
118Linear OA(874, 32781, F8, 17) (dual of [32781, 32707, 18]-code) [i]
119Linear OA(844, 32781, F8, 10) (dual of [32781, 32737, 11]-code) [i]
120Linear OA(839, 32781, F8, 9) (dual of [32781, 32742, 10]-code) [i]
121Linear OA(8169, 32786, F8, 38) (dual of [32786, 32617, 39]-code) [i]
122Linear OA(8164, 32786, F8, 37) (dual of [32786, 32622, 38]-code) [i]
123Linear OA(8159, 32786, F8, 36) (dual of [32786, 32627, 37]-code) [i]
124Linear OA(8139, 32786, F8, 31) (dual of [32786, 32647, 32]-code) [i]
125Linear OA(8134, 32786, F8, 30) (dual of [32786, 32652, 31]-code) [i]
126Linear OA(8129, 32786, F8, 29) (dual of [32786, 32657, 30]-code) [i]
127Linear OA(8124, 32786, F8, 28) (dual of [32786, 32662, 29]-code) [i]
128Linear OA(8104, 32786, F8, 23) (dual of [32786, 32682, 24]-code) [i]
129Linear OA(899, 32786, F8, 22) (dual of [32786, 32687, 23]-code) [i]
130Linear OA(894, 32786, F8, 21) (dual of [32786, 32692, 22]-code) [i]
131Linear OA(889, 32786, F8, 20) (dual of [32786, 32697, 21]-code) [i]
132Linear OA(869, 32786, F8, 15) (dual of [32786, 32717, 16]-code) [i]
133Linear OA(864, 32786, F8, 14) (dual of [32786, 32722, 15]-code) [i]
134Linear OA(859, 32786, F8, 13) (dual of [32786, 32727, 14]-code) [i]
135Linear OA(854, 32786, F8, 12) (dual of [32786, 32732, 13]-code) [i]
136Linear OA(834, 32786, F8, 7) (dual of [32786, 32752, 8]-code) [i]
137Linear OA(829, 32786, F8, 6) (dual of [32786, 32757, 7]-code) [i]
138Linear OA(8148, 4107, F8, 42) (dual of [4107, 3959, 43]-code) [i]
139Linear OA(8144, 4107, F8, 41) (dual of [4107, 3963, 42]-code) [i]
140Linear OA(8120, 4107, F8, 34) (dual of [4107, 3987, 35]-code) [i]
141Linear OA(892, 4107, F8, 26) (dual of [4107, 4015, 27]-code) [i]
142Linear OA(888, 4107, F8, 25) (dual of [4107, 4019, 26]-code) [i]
143Linear OA(864, 4107, F8, 18) (dual of [4107, 4043, 19]-code) [i]
144Linear OA(836, 4107, F8, 10) (dual of [4107, 4071, 11]-code) [i]
145Linear OA(832, 4107, F8, 9) (dual of [4107, 4075, 10]-code) [i]
146Linear OA(8168, 4111, F8, 47) (dual of [4111, 3943, 48]-code) [i]
147Linear OA(8164, 4111, F8, 46) (dual of [4111, 3947, 47]-code) [i]
148Linear OA(8160, 4111, F8, 45) (dual of [4111, 3951, 46]-code) [i]
149Linear OA(8156, 4111, F8, 44) (dual of [4111, 3955, 45]-code) [i]
150Linear OA(8140, 4111, F8, 39) (dual of [4111, 3971, 40]-code) [i]
151Linear OA(8136, 4111, F8, 38) (dual of [4111, 3975, 39]-code) [i]
152Linear OA(8132, 4111, F8, 37) (dual of [4111, 3979, 38]-code) [i]
153Linear OA(8128, 4111, F8, 36) (dual of [4111, 3983, 37]-code) [i]
154Linear OA(8112, 4111, F8, 31) (dual of [4111, 3999, 32]-code) [i]
155Linear OA(8108, 4111, F8, 30) (dual of [4111, 4003, 31]-code) [i]
156Linear OA(8104, 4111, F8, 29) (dual of [4111, 4007, 30]-code) [i]
157Linear OA(8100, 4111, F8, 28) (dual of [4111, 4011, 29]-code) [i]
158Linear OA(884, 4111, F8, 23) (dual of [4111, 4027, 24]-code) [i]
159Linear OA(880, 4111, F8, 22) (dual of [4111, 4031, 23]-code) [i]
160Linear OA(876, 4111, F8, 21) (dual of [4111, 4035, 22]-code) [i]
161Linear OA(872, 4111, F8, 20) (dual of [4111, 4039, 21]-code) [i]
162Linear OA(856, 4111, F8, 15) (dual of [4111, 4055, 16]-code) [i]
163Linear OA(852, 4111, F8, 14) (dual of [4111, 4059, 15]-code) [i]
164Linear OA(848, 4111, F8, 13) (dual of [4111, 4063, 14]-code) [i]
165Linear OA(844, 4111, F8, 12) (dual of [4111, 4067, 13]-code) [i]
166Linear OA(8172, 1377, F8, 50) (dual of [1377, 1205, 51]-code) [i]
167Linear OA(8168, 1377, F8, 49) (dual of [1377, 1209, 50]-code) [i]
168Linear OA(8156, 1377, F8, 45) (dual of [1377, 1221, 46]-code) [i]
169Linear OA(8152, 1377, F8, 44) (dual of [1377, 1225, 45]-code) [i]
170Linear OA(8164, 1381, F8, 47) (dual of [1381, 1217, 48]-code) [i]
171Linear OA(8116, 831, F8, 34) (dual of [831, 715, 35]-code) [i]
172Linear OA(8112, 831, F8, 33) (dual of [831, 719, 34]-code) [i]
173Linear OA(8128, 835, F8, 37) (dual of [835, 707, 38]-code) [i]
174Linear OA(8124, 835, F8, 36) (dual of [835, 711, 37]-code) [i]
175Linear OA(8108, 835, F8, 31) (dual of [835, 727, 32]-code) [i]
176Linear OA(8104, 835, F8, 30) (dual of [835, 731, 31]-code) [i]
177Linear OA(8100, 833, F8, 29) (dual of [833, 733, 30]-code) [i]
178Linear OA(896, 833, F8, 28) (dual of [833, 737, 29]-code) [i]
179Linear OA(8169, 524, F8, 63) (dual of [524, 355, 64]-code) [i]
180Linear OA(8166, 524, F8, 62) (dual of [524, 358, 63]-code) [i]
181Linear OA(8163, 524, F8, 61) (dual of [524, 361, 62]-code) [i]
182Linear OA(8160, 524, F8, 60) (dual of [524, 364, 61]-code) [i]
183Linear OA(8148, 524, F8, 55) (dual of [524, 376, 56]-code) [i]
184Linear OA(8145, 524, F8, 54) (dual of [524, 379, 55]-code) [i]
185Linear OA(8142, 524, F8, 53) (dual of [524, 382, 54]-code) [i]
186Linear OA(8139, 524, F8, 52) (dual of [524, 385, 53]-code) [i]
187Linear OA(8127, 524, F8, 47) (dual of [524, 397, 48]-code) [i]
188Linear OA(8124, 524, F8, 46) (dual of [524, 400, 47]-code) [i]
189Linear OA(8121, 524, F8, 45) (dual of [524, 403, 46]-code) [i]
190Linear OA(8118, 524, F8, 44) (dual of [524, 406, 45]-code) [i]
191Linear OA(8106, 524, F8, 39) (dual of [524, 418, 40]-code) [i]
192Linear OA(8103, 524, F8, 38) (dual of [524, 421, 39]-code) [i]
193Linear OA(8100, 524, F8, 37) (dual of [524, 424, 38]-code) [i]
194Linear OA(897, 524, F8, 36) (dual of [524, 427, 37]-code) [i]
195Linear OA(885, 524, F8, 31) (dual of [524, 439, 32]-code) [i]
196Linear OA(882, 524, F8, 30) (dual of [524, 442, 31]-code) [i]
197Linear OA(879, 524, F8, 29) (dual of [524, 445, 30]-code) [i]
198Linear OA(876, 524, F8, 28) (dual of [524, 448, 29]-code) [i]
199Linear OA(864, 524, F8, 23) (dual of [524, 460, 24]-code) [i]
200Linear OA(861, 524, F8, 22) (dual of [524, 463, 23]-code) [i]
201Linear OA(858, 524, F8, 21) (dual of [524, 466, 22]-code) [i]
202Linear OA(855, 524, F8, 20) (dual of [524, 469, 21]-code) [i]
203Linear OA(843, 524, F8, 15) (dual of [524, 481, 16]-code) [i]
204Linear OA(840, 524, F8, 14) (dual of [524, 484, 15]-code) [i]
205Linear OA(837, 524, F8, 13) (dual of [524, 487, 14]-code) [i]
206Linear OA(834, 524, F8, 12) (dual of [524, 490, 13]-code) [i]
207Linear OA(822, 524, F8, 7) (dual of [524, 502, 8]-code) [i]
208Linear OA(819, 524, F8, 6) (dual of [524, 505, 7]-code) [i]
209Linear OA(8125, 2097179, F8, 20) (dual of [2097179, 2097054, 21]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
210Linear OA(876, 2097179, F8, 12) (dual of [2097179, 2097103, 13]-code) [i]
211Linear OA(8150, 262168, F8, 28) (dual of [262168, 262018, 29]-code) [i]
212Linear OA(8108, 262168, F8, 20) (dual of [262168, 262060, 21]-code) [i]
213Linear OA(866, 262168, F8, 12) (dual of [262168, 262102, 13]-code) [i]
214Linear OA(8161, 32789, F8, 36) (dual of [32789, 32628, 37]-code) [i]
215Linear OA(8126, 32789, F8, 28) (dual of [32789, 32663, 29]-code) [i]
216Linear OA(891, 32789, F8, 20) (dual of [32789, 32698, 21]-code) [i]
217Linear OA(856, 32789, F8, 12) (dual of [32789, 32733, 13]-code) [i]
218Linear OA(8158, 4114, F8, 44) (dual of [4114, 3956, 45]-code) [i]
219Linear OA(8130, 4114, F8, 36) (dual of [4114, 3984, 37]-code) [i]
220Linear OA(8102, 4114, F8, 28) (dual of [4114, 4012, 29]-code) [i]
221Linear OA(874, 4114, F8, 20) (dual of [4114, 4040, 21]-code) [i]
222Linear OA(8162, 527, F8, 60) (dual of [527, 365, 61]-code) [i]
223Linear OA(8141, 527, F8, 52) (dual of [527, 386, 53]-code) [i]
224Linear OA(8120, 527, F8, 44) (dual of [527, 407, 45]-code) [i]
225Linear OA(899, 527, F8, 36) (dual of [527, 428, 37]-code) [i]
226Linear OA(878, 527, F8, 28) (dual of [527, 449, 29]-code) [i]
227Linear OA(857, 527, F8, 20) (dual of [527, 470, 21]-code) [i]
228Linear OA(836, 527, F8, 12) (dual of [527, 491, 13]-code) [i]