Information on Result #657114

Linear OA(837, 45, F8, 28) (dual of [45, 8, 29]-code), using algebraic-geometric code AG(F,8P) with degP = 2 based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]

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(882, 90, F8, 57) (dual of [90, 8, 58]-code) [i]Repeating Each Code Word
2Linear OA(8101, 109, F8, 75) (dual of [109, 8, 76]-code) [i]Juxtaposition
3Linear OOA(2246, 135, F2, 2, 115) (dual of [(135, 2), 24, 116]-NRT-code) [i]Concatenation of Two NRT-Codes
4Linear OOA(2246, 90, F2, 3, 115) (dual of [(90, 3), 24, 116]-NRT-code) [i]
5Linear OA(838, 48, F8, 28) (dual of [48, 10, 29]-code) [i]Construction X with Algebraic-Geometric Codes