Information on Result #622237

Linear OA(915, 20, F9, 13) (dual of [20, 5, 14]-code), using extended algebraic-geometric code AGe(F,6P) 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(9148, 152, F9, 111) (dual of [152, 4, 112]-code) [i]Repeating Each Code Word
2Linear OA(987, 748, F9, 27) (dual of [748, 661, 28]-code) [i](u, u+v)-Construction
3Linear OA(9135, 59068, F9, 27) (dual of [59068, 58933, 28]-code) [i]
4Linear OA(985, 749, F9, 26) (dual of [749, 664, 27]-code) [i]
5Linear OA(9131, 59069, F9, 26) (dual of [59069, 58938, 27]-code) [i]
6Linear OA(943, 48, F9, 34) (dual of [48, 5, 35]-code) [i]Juxtaposition
7Linear OA(9116, 121, F9, 94) (dual of [121, 5, 95]-code) [i]
8Linear OA(997, 101, F9, 85) (dual of [101, 4, 86]-code) [i]
9Linear OA(9113, 117, F9, 97) (dual of [117, 4, 98]-code) [i]
10Linear OA(9142, 147, F9, 120) (dual of [147, 5, 121]-code) [i]
11Linear OA(9145, 150, F9, 122) (dual of [150, 5, 123]-code) [i]
12Linear OOA(3106, 57, F3, 2, 69) (dual of [(57, 2), 8, 70]-NRT-code) [i]Concatenation of Two NRT-Codes
13Linear OOA(3144, 76, F3, 2, 97) (dual of [(76, 2), 8, 98]-NRT-code) [i]
14Linear OA(988, 101, F9, 61) (dual of [101, 13, 62]-code) [i]Construction X with Cyclic Codes
15Linear OA(990, 104, F9, 61) (dual of [104, 14, 62]-code) [i]Construction XX with a Chain of Cyclic Codes