Information on Result #622232

Linear OA(98, 20, F9, 6) (dual of [20, 12, 7]-code), using extended algebraic-geometric code AGe(F,13P) based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, 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(942, 749, F9, 13) (dual of [749, 707, 14]-code) [i](u, u+v)-Construction
2Linear OA(964, 59069, F9, 13) (dual of [59069, 59005, 14]-code) [i]
3Linear OA(986, 4782989, F9, 13) (dual of [4782989, 4782903, 14]-code) [i]
4Linear OA(939, 749, F9, 12) (dual of [749, 710, 13]-code) [i]
5Linear OA(959, 59069, F9, 12) (dual of [59069, 59010, 13]-code) [i]
6Linear OA(979, 4782989, F9, 12) (dual of [4782989, 4782910, 13]-code) [i]
7Linear OA(9138, 149, F9, 100) (dual of [149, 11, 101]-code) [i]Juxtaposition
8Linear OA(965, 102, F9, 34) (dual of [102, 37, 35]-code) [i]Construction X with Cyclic Codes
9Linear OA(953, 101, F9, 28) (dual of [101, 48, 29]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(968, 105, F9, 37) (dual of [105, 37, 38]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes