Information on Result #644169

Linear OA(831, 44, F8, 22) (dual of [44, 13, 23]-code), using algebraic-geometric code AG(F,21P) based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, 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(875, 88, F8, 45) (dual of [88, 13, 46]-code) [i]Repeating Each Code Word
2Linear OA(8119, 132, F8, 68) (dual of [132, 13, 69]-code) [i]
3Linear OA(8117, 129, F8, 68) (dual of [129, 12, 69]-code) [i]
4Linear OA(8115, 126, F8, 68) (dual of [126, 11, 69]-code) [i]
5Linear OA(8113, 123, F8, 68) (dual of [123, 10, 69]-code) [i]
6Linear OA(896, 105, F8, 69) (dual of [105, 9, 70]-code) [i]Juxtaposition
7Linear OA(834, 47, F8, 24) (dual of [47, 13, 25]-code) [i]Construction X with Algebraic-Geometric Codes
8Linear OA(832, 47, F8, 22) (dual of [47, 15, 23]-code) [i]
9Linear OA(836, 49, F8, 25) (dual of [49, 13, 26]-code) [i]
10Linear OA(833, 49, F8, 22) (dual of [49, 16, 23]-code) [i]
11Linear OOA(831, 22, F8, 2, 22) (dual of [(22, 2), 13, 23]-NRT-code) [i]OOA Folding