Information on Result #622130

Linear OA(811, 17, F8, 9) (dual of [17, 6, 10]-code), using extended algebraic-geometric code AGe(F,7P) 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(860, 530, F8, 19) (dual of [530, 470, 20]-code) [i](u, u+v)-Construction
2Linear OA(892, 32786, F8, 19) (dual of [32786, 32694, 20]-code) [i]
3Linear OA(8108, 262162, F8, 19) (dual of [262162, 262054, 20]-code) [i]
4Linear OA(8124, 2097170, F8, 19) (dual of [2097170, 2097046, 20]-code) [i]
5Linear OA(857, 529, F8, 18) (dual of [529, 472, 19]-code) [i]
6Linear OA(887, 32785, F8, 18) (dual of [32785, 32698, 19]-code) [i]
7Linear OA(8102, 262161, F8, 18) (dual of [262161, 262059, 19]-code) [i]
8Linear OA(8117, 2097169, F8, 18) (dual of [2097169, 2097052, 19]-code) [i]
9Linear OA(894, 100, F8, 73) (dual of [100, 6, 74]-code) [i]Juxtaposition
10Linear OA(893, 98, F8, 73) (dual of [98, 5, 74]-code) [i]
11Linear OA(8128, 134, F8, 105) (dual of [134, 6, 106]-code) [i]
12Linear OOA(284, 51, F2, 2, 39) (dual of [(51, 2), 18, 40]-NRT-code) [i]Concatenation of Two NRT-Codes
13Linear OOA(2135, 51, F2, 3, 69) (dual of [(51, 3), 18, 70]-NRT-code) [i]
14Linear OA(871, 81, F8, 51) (dual of [81, 10, 52]-code) [i]Construction X with Algebraic-Geometric Codes
15Linear OA(883, 90, F8, 64) (dual of [90, 7, 65]-code) [i]Construction X with Cyclic Codes
16Linear OA(876, 97, F8, 45) (dual of [97, 21, 46]-code) [i]Construction XX with Cyclic Codes
17Linear OA(874, 94, F8, 45) (dual of [94, 20, 46]-code) [i]
18Linear OA(880, 94, F8, 54) (dual of [94, 14, 55]-code) [i]
19Linear OA(879, 92, F8, 54) (dual of [92, 13, 55]-code) [i]
20Linear OA(883, 97, F8, 55) (dual of [97, 14, 56]-code) [i]
21Linear OA(883, 97, F8, 55) (dual of [97, 14, 56]-code) [i]
22Linear OA(881, 94, F8, 55) (dual of [94, 13, 56]-code) [i]
23Linear OA(872, 81, F8, 55) (dual of [81, 9, 56]-code) [i]Construction X with Extended Narrow-Sense BCH Codes