Information on Result #606807

Linear OA(86, 9, F8, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,8)), using extended Reed–Solomon code RSe(3,8)

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(840, 521, F8, 13) (dual of [521, 481, 14]-code) [i](u, u+v)-Construction
2Linear OA(862, 32777, F8, 13) (dual of [32777, 32715, 14]-code) [i]
3Linear OA(873, 262153, F8, 13) (dual of [262153, 262080, 14]-code) [i]
4Linear OA(884, 2097161, F8, 13) (dual of [2097161, 2097077, 14]-code) [i]
5Linear OA(837, 521, F8, 12) (dual of [521, 484, 13]-code) [i]
6Linear OA(857, 32777, F8, 12) (dual of [32777, 32720, 13]-code) [i]
7Linear OA(867, 262153, F8, 12) (dual of [262153, 262086, 13]-code) [i]
8Linear OA(877, 2097161, F8, 12) (dual of [2097161, 2097084, 13]-code) [i]
9Linear OA(834, 37, F8, 30) (dual of [37, 3, 31]-code) [i]Juxtaposition
10Linear OOA(245, 27, F2, 2, 27) (dual of [(27, 2), 9, 28]-NRT-code) [i]Concatenation of Two NRT-Codes
11Linear OOA(281, 45, F2, 2, 48) (dual of [(45, 2), 9, 49]-NRT-code) [i]
12Linear OOA(272, 27, F2, 3, 48) (dual of [(27, 3), 9, 49]-NRT-code) [i]
13Linear OA(865, 73, F8, 50) (dual of [73, 8, 51]-code) [i]Construction X with Algebraic-Geometric Codes
14Linear OA(874, 82, F8, 55) (dual of [82, 8, 56]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
15Linear OA(8101, 32786, F8, 20) (dual of [32786, 32685, 21]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(8102, 32788, F8, 20) (dual of [32788, 32686, 21]-code) [i]
17Linear OA(8135, 2097170, F8, 20) (dual of [2097170, 2097035, 21]-code) [i]
18Linear OA(8136, 2097172, F8, 20) (dual of [2097172, 2097036, 21]-code) [i]
19Linear OA(896, 32788, F8, 19) (dual of [32788, 32692, 20]-code) [i]
20Linear OA(8128, 2097172, F8, 19) (dual of [2097172, 2097044, 20]-code) [i]
21Linear OA(866, 32786, F8, 13) (dual of [32786, 32720, 14]-code) [i]
22Linear OA(888, 2097170, F8, 13) (dual of [2097170, 2097082, 14]-code) [i]
23Linear OA(877, 95, F8, 47) (dual of [95, 18, 48]-code) [i]Construction XX with Cyclic Codes
24Linear OA(869, 86, F8, 45) (dual of [86, 17, 46]-code) [i]