Information on Result #605161

Linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), using dual of repetition code with length 2

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:

ResultThis
result
only
Method
1Linear OA(830, 35, F8, 23) (dual of [35, 5, 24]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
2Linear OA(872, 80, F8, 54) (dual of [80, 8, 55]-code) [i]
3Linear OA(880, 92, F8, 55) (dual of [92, 12, 56]-code) [i]
4Linear OA(878, 90, F8, 54) (dual of [90, 12, 55]-code) [i]
5Linear OA(867, 75, F8, 51) (dual of [75, 8, 52]-code) [i]
6Linear OA(871, 83, F8, 50) (dual of [83, 12, 51]-code) [i]
7Linear OA(868, 80, F8, 48) (dual of [80, 12, 49]-code) [i]
8Linear OA(875, 90, F8, 49) (dual of [90, 15, 50]-code) [i]
9Linear OA(868, 83, F8, 45) (dual of [83, 15, 46]-code) [i]
10Linear OA(864, 79, F8, 43) (dual of [79, 15, 44]-code) [i]
11Linear OA(8172, 4109, F8, 47) (dual of [4109, 3937, 48]-code) [i]Construction XX with a Chain of Cyclic Codes
12Linear OA(8164, 4109, F8, 45) (dual of [4109, 3945, 46]-code) [i]
13Linear OA(8167, 4120, F8, 45) (dual of [4120, 3953, 46]-code) [i]
14Linear OA(8169, 4130, F8, 44) (dual of [4130, 3961, 45]-code) [i]
15Linear OA(8156, 4109, F8, 43) (dual of [4109, 3953, 44]-code) [i]
16Linear OA(8159, 4120, F8, 43) (dual of [4120, 3961, 44]-code) [i]
17Linear OA(8161, 4130, F8, 42) (dual of [4130, 3969, 43]-code) [i]
18Linear OA(8148, 4109, F8, 41) (dual of [4109, 3961, 42]-code) [i]
19Linear OA(8151, 4120, F8, 41) (dual of [4120, 3969, 42]-code) [i]
20Linear OA(8153, 4130, F8, 40) (dual of [4130, 3977, 41]-code) [i]
21Linear OA(8140, 4109, F8, 39) (dual of [4109, 3969, 40]-code) [i]
22Linear OA(8143, 4120, F8, 39) (dual of [4120, 3977, 40]-code) [i]
23Linear OA(8132, 4109, F8, 37) (dual of [4109, 3977, 38]-code) [i]
24Linear OA(8130, 4123, F8, 35) (dual of [4123, 3993, 36]-code) [i]
25Linear OA(8119, 4112, F8, 33) (dual of [4112, 3993, 34]-code) [i]
26Linear OA(8116, 4109, F8, 31) (dual of [4109, 3993, 32]-code) [i]
27Linear OA(8122, 4123, F8, 33) (dual of [4123, 4001, 34]-code) [i]
28Linear OA(8119, 4120, F8, 31) (dual of [4120, 4001, 32]-code) [i]
29Linear OA(8108, 4109, F8, 29) (dual of [4109, 4001, 30]-code) [i]
30Linear OA(8111, 4120, F8, 29) (dual of [4120, 4009, 30]-code) [i]
31Linear OA(8100, 4109, F8, 27) (dual of [4109, 4009, 28]-code) [i]
32Linear OA(8103, 4120, F8, 27) (dual of [4120, 4017, 28]-code) [i]
33Linear OA(892, 4109, F8, 25) (dual of [4109, 4017, 26]-code) [i]
34Linear OA(895, 4120, F8, 25) (dual of [4120, 4025, 26]-code) [i]
35Linear OA(884, 4109, F8, 23) (dual of [4109, 4025, 24]-code) [i]
36Linear OA(887, 4120, F8, 23) (dual of [4120, 4033, 24]-code) [i]
37Linear OA(876, 4109, F8, 21) (dual of [4109, 4033, 22]-code) [i]
38Linear OA(863, 4112, F8, 17) (dual of [4112, 4049, 18]-code) [i]
39Linear OA(8173, 524, F8, 64) (dual of [524, 351, 65]-code) [i]
40Linear OA(8169, 532, F8, 61) (dual of [532, 363, 62]-code) [i]
41Linear OA(8172, 541, F8, 61) (dual of [541, 369, 62]-code) [i]
42Linear OA(8163, 532, F8, 59) (dual of [532, 369, 60]-code) [i]
43Linear OA(8166, 541, F8, 59) (dual of [541, 375, 60]-code) [i]
44Linear OA(8157, 532, F8, 57) (dual of [532, 375, 58]-code) [i]
45Linear OA(8160, 541, F8, 57) (dual of [541, 381, 58]-code) [i]
46Linear OA(8151, 532, F8, 55) (dual of [532, 381, 56]-code) [i]
47Linear OA(8152, 545, F8, 52) (dual of [545, 393, 53]-code) [i]
48Linear OA(8142, 535, F8, 51) (dual of [535, 393, 52]-code) [i]
49Linear OA(8146, 545, F8, 50) (dual of [545, 399, 51]-code) [i]
50Linear OA(8132, 525, F8, 49) (dual of [525, 393, 50]-code) [i]
51Linear OA(8136, 535, F8, 49) (dual of [535, 399, 50]-code) [i]
52Linear OA(8133, 532, F8, 47) (dual of [532, 399, 48]-code) [i]
53Linear OA(8140, 545, F8, 48) (dual of [545, 405, 49]-code) [i]
54Linear OA(8136, 541, F8, 47) (dual of [541, 405, 48]-code) [i]
55Linear OA(8127, 532, F8, 45) (dual of [532, 405, 46]-code) [i]
56Linear OA(8130, 541, F8, 45) (dual of [541, 411, 46]-code) [i]
57Linear OA(8121, 532, F8, 43) (dual of [532, 411, 44]-code) [i]
58Linear OA(8124, 541, F8, 43) (dual of [541, 417, 44]-code) [i]
59Linear OA(8115, 532, F8, 41) (dual of [532, 417, 42]-code) [i]
60Linear OA(8118, 541, F8, 41) (dual of [541, 423, 42]-code) [i]
61Linear OA(8109, 532, F8, 39) (dual of [532, 423, 40]-code) [i]
62Linear OA(8110, 545, F8, 36) (dual of [545, 435, 37]-code) [i]
63Linear OA(8100, 535, F8, 35) (dual of [535, 435, 36]-code) [i]
64Linear OA(8104, 545, F8, 34) (dual of [545, 441, 35]-code) [i]
65Linear OA(890, 525, F8, 33) (dual of [525, 435, 34]-code) [i]
66Linear OA(894, 535, F8, 33) (dual of [535, 441, 34]-code) [i]
67Linear OA(891, 532, F8, 31) (dual of [532, 441, 32]-code) [i]
68Linear OA(898, 545, F8, 32) (dual of [545, 447, 33]-code) [i]
69Linear OA(894, 541, F8, 31) (dual of [541, 447, 32]-code) [i]
70Linear OA(885, 532, F8, 29) (dual of [532, 447, 30]-code) [i]
71Linear OA(888, 541, F8, 29) (dual of [541, 453, 30]-code) [i]
72Linear OA(879, 532, F8, 27) (dual of [532, 453, 28]-code) [i]
73Linear OA(882, 541, F8, 27) (dual of [541, 459, 28]-code) [i]
74Linear OA(873, 532, F8, 25) (dual of [532, 459, 26]-code) [i]
75Linear OA(876, 541, F8, 25) (dual of [541, 465, 26]-code) [i]
76Linear OA(867, 532, F8, 23) (dual of [532, 465, 24]-code) [i]
77Linear OA(858, 535, F8, 19) (dual of [535, 477, 20]-code) [i]
78Linear OA(848, 525, F8, 17) (dual of [525, 477, 18]-code) [i]
79Linear OA(852, 535, F8, 17) (dual of [535, 483, 18]-code) [i]
80Linear OA(849, 532, F8, 15) (dual of [532, 483, 16]-code) [i]
81Linear OA(847, 80, F8, 25) (dual of [80, 33, 26]-code) [i]
82Linear OA(835, 76, F8, 18) (dual of [76, 41, 19]-code) [i]
83Linear OA(8165, 2097170, F8, 27) (dual of [2097170, 2097005, 28]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
84Linear OA(8157, 2097162, F8, 26) (dual of [2097162, 2097005, 27]-code) [i]
85Linear OA(8125, 2097179, F8, 20) (dual of [2097179, 2097054, 21]-code) [i]
86Linear OA(8108, 2097162, F8, 18) (dual of [2097162, 2097054, 19]-code) [i]
87Linear OA(876, 2097179, F8, 12) (dual of [2097179, 2097103, 13]-code) [i]
88Linear OA(859, 2097162, F8, 10) (dual of [2097162, 2097103, 11]-code) [i]
89Linear OA(8157, 262175, F8, 29) (dual of [262175, 262018, 30]-code) [i]
90Linear OA(8150, 262168, F8, 28) (dual of [262168, 262018, 29]-code) [i]
91Linear OA(8142, 262160, F8, 27) (dual of [262160, 262018, 28]-code) [i]
92Linear OA(8108, 262168, F8, 20) (dual of [262168, 262060, 21]-code) [i]
93Linear OA(873, 262175, F8, 13) (dual of [262175, 262102, 14]-code) [i]
94Linear OA(866, 262168, F8, 12) (dual of [262168, 262102, 13]-code) [i]
95Linear OA(8161, 32789, F8, 36) (dual of [32789, 32628, 37]-code) [i]
96Linear OA(8132, 32795, F8, 29) (dual of [32795, 32663, 30]-code) [i]
97Linear OA(8126, 32789, F8, 28) (dual of [32789, 32663, 29]-code) [i]
98Linear OA(8119, 32782, F8, 27) (dual of [32782, 32663, 28]-code) [i]
99Linear OA(891, 32789, F8, 20) (dual of [32789, 32698, 21]-code) [i]
100Linear OA(862, 32795, F8, 13) (dual of [32795, 32733, 14]-code) [i]
101Linear OA(856, 32789, F8, 12) (dual of [32789, 32733, 13]-code) [i]
102Linear OA(8169, 4125, F8, 46) (dual of [4125, 3956, 47]-code) [i]
103Linear OA(8163, 4119, F8, 45) (dual of [4119, 3956, 46]-code) [i]
104Linear OA(8158, 4114, F8, 44) (dual of [4114, 3956, 45]-code) [i]
105Linear OA(8152, 4108, F8, 43) (dual of [4108, 3956, 44]-code) [i]
106Linear OA(8141, 4125, F8, 38) (dual of [4125, 3984, 39]-code) [i]
107Linear OA(8130, 4114, F8, 36) (dual of [4114, 3984, 37]-code) [i]
108Linear OA(8113, 4125, F8, 30) (dual of [4125, 4012, 31]-code) [i]
109Linear OA(8107, 4119, F8, 29) (dual of [4119, 4012, 30]-code) [i]
110Linear OA(8102, 4114, F8, 28) (dual of [4114, 4012, 29]-code) [i]
111Linear OA(896, 4108, F8, 27) (dual of [4108, 4012, 28]-code) [i]
112Linear OA(885, 4125, F8, 22) (dual of [4125, 4040, 23]-code) [i]
113Linear OA(874, 4114, F8, 20) (dual of [4114, 4040, 21]-code) [i]
114Linear OA(840, 4108, F8, 11) (dual of [4108, 4068, 12]-code) [i]
115Linear OA(8160, 1378, F8, 46) (dual of [1378, 1218, 47]-code) [i]
116Linear OA(8120, 832, F8, 35) (dual of [832, 712, 36]-code) [i]
117Linear OA(8171, 536, F8, 62) (dual of [536, 365, 63]-code) [i]
118Linear OA(8166, 531, F8, 61) (dual of [531, 365, 62]-code) [i]
119Linear OA(8162, 527, F8, 60) (dual of [527, 365, 61]-code) [i]
120Linear OA(8150, 536, F8, 54) (dual of [536, 386, 55]-code) [i]
121Linear OA(8141, 527, F8, 52) (dual of [527, 386, 53]-code) [i]
122Linear OA(8136, 543, F8, 47) (dual of [543, 407, 48]-code) [i]
123Linear OA(8133, 540, F8, 47) (dual of [540, 407, 48]-code) [i]
124Linear OA(8129, 536, F8, 46) (dual of [536, 407, 47]-code) [i]
125Linear OA(8124, 531, F8, 45) (dual of [531, 407, 46]-code) [i]
126Linear OA(8120, 527, F8, 44) (dual of [527, 407, 45]-code) [i]
127Linear OA(8108, 536, F8, 38) (dual of [536, 428, 39]-code) [i]
128Linear OA(899, 527, F8, 36) (dual of [527, 428, 37]-code) [i]
129Linear OA(894, 543, F8, 31) (dual of [543, 449, 32]-code) [i]
130Linear OA(891, 540, F8, 31) (dual of [540, 449, 32]-code) [i]
131Linear OA(887, 536, F8, 30) (dual of [536, 449, 31]-code) [i]
132Linear OA(882, 531, F8, 29) (dual of [531, 449, 30]-code) [i]
133Linear OA(878, 527, F8, 28) (dual of [527, 449, 29]-code) [i]
134Linear OA(866, 536, F8, 22) (dual of [536, 470, 23]-code) [i]
135Linear OA(857, 527, F8, 20) (dual of [527, 470, 21]-code) [i]
136Linear OA(849, 540, F8, 15) (dual of [540, 491, 16]-code) [i]
137Linear OA(845, 536, F8, 14) (dual of [536, 491, 15]-code) [i]
138Linear OA(840, 531, F8, 13) (dual of [531, 491, 14]-code) [i]
139Linear OA(836, 527, F8, 12) (dual of [527, 491, 13]-code) [i]