Information on Result #622129

Linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), using extended algebraic-geometric code AGe(F,8P) based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using

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(853, 530, F8, 17) (dual of [530, 477, 18]-code) [i](u, u+v)-Construction
2Linear OA(881, 32786, F8, 17) (dual of [32786, 32705, 18]-code) [i]
3Linear OA(895, 262162, F8, 17) (dual of [262162, 262067, 18]-code) [i]
4Linear OA(8109, 2097170, F8, 17) (dual of [2097170, 2097061, 18]-code) [i]
5Linear OA(883, 90, F8, 63) (dual of [90, 7, 64]-code) [i]Juxtaposition
6Linear OA(893, 99, F8, 72) (dual of [99, 6, 73]-code) [i]
7Linear OA(8127, 133, F8, 104) (dual of [133, 6, 105]-code) [i]
8Linear OA(8140, 147, F8, 111) (dual of [147, 7, 112]-code) [i]
9Linear OOA(281, 51, F2, 2, 35) (dual of [(51, 2), 21, 36]-NRT-code) [i]Concatenation of Two NRT-Codes
10Linear OOA(2132, 51, F2, 3, 62) (dual of [(51, 3), 21, 63]-NRT-code) [i]
11Linear OA(869, 80, F8, 50) (dual of [80, 11, 51]-code) [i]Construction X with Algebraic-Geometric Codes
12Linear OA(869, 81, F8, 48) (dual of [81, 12, 49]-code) [i]
13Linear OA(868, 81, F8, 47) (dual of [81, 13, 48]-code) [i]
14Linear OA(863, 81, F8, 41) (dual of [81, 18, 42]-code) [i]
15Linear OA(871, 83, F8, 50) (dual of [83, 12, 51]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
16Linear OA(871, 89, F8, 45) (dual of [89, 18, 46]-code) [i]Construction X with Cyclic Codes
17Linear OA(877, 89, F8, 54) (dual of [89, 12, 55]-code) [i]
18Linear OA(866, 97, F8, 35) (dual of [97, 31, 36]-code) [i]Construction XX with Cyclic Codes
19Linear OA(864, 93, F8, 35) (dual of [93, 29, 36]-code) [i]
20Linear OA(862, 89, F8, 35) (dual of [89, 27, 36]-code) [i]
21Linear OA(874, 97, F8, 44) (dual of [97, 23, 45]-code) [i]
22Linear OA(874, 97, F8, 44) (dual of [97, 23, 45]-code) [i]
23Linear OA(871, 94, F8, 42) (dual of [94, 23, 43]-code) [i]
24Linear OA(872, 94, F8, 43) (dual of [94, 22, 44]-code) [i]
25Linear OA(873, 94, F8, 44) (dual of [94, 21, 45]-code) [i]
26Linear OA(872, 94, F8, 44) (dual of [94, 22, 45]-code) [i]
27Linear OA(877, 100, F8, 45) (dual of [100, 23, 46]-code) [i]
28Linear OA(876, 97, F8, 45) (dual of [97, 21, 46]-code) [i]
29Linear OA(869, 89, F8, 43) (dual of [89, 20, 44]-code) [i]
30Linear OA(873, 93, F8, 45) (dual of [93, 20, 46]-code) [i]
31Linear OA(873, 94, F8, 45) (dual of [94, 21, 46]-code) [i]
32Linear OA(876, 97, F8, 46) (dual of [97, 21, 47]-code) [i]
33Linear OA(876, 97, F8, 46) (dual of [97, 21, 47]-code) [i]
34Linear OA(875, 94, F8, 46) (dual of [94, 19, 47]-code) [i]
35Linear OA(874, 93, F8, 46) (dual of [93, 19, 47]-code) [i]
36Linear OA(869, 84, F8, 47) (dual of [84, 15, 48]-code) [i]
37Linear OA(868, 82, F8, 47) (dual of [82, 14, 48]-code) [i]
38Linear OA(881, 97, F8, 53) (dual of [97, 16, 54]-code) [i]
39Linear OA(881, 97, F8, 53) (dual of [97, 16, 54]-code) [i]
40Linear OA(878, 94, F8, 51) (dual of [94, 16, 52]-code) [i]
41Linear OA(880, 95, F8, 53) (dual of [95, 15, 54]-code) [i]
42Linear OA(880, 95, F8, 53) (dual of [95, 15, 54]-code) [i]
43Linear OA(878, 93, F8, 52) (dual of [93, 15, 53]-code) [i]
44Linear OA(879, 94, F8, 53) (dual of [94, 15, 54]-code) [i]
45Linear OA(884, 100, F8, 54) (dual of [100, 16, 55]-code) [i]
46Linear OA(885, 100, F8, 55) (dual of [100, 15, 56]-code) [i]
47Linear OA(866, 81, F8, 46) (dual of [81, 15, 47]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
48Linear OA(865, 81, F8, 45) (dual of [81, 16, 46]-code) [i]