Information on Result #924799
Linear OOA(8141, 119, F8, 2, 81) (dual of [(119, 2), 97, 82]-NRT-code), using construction X applied to AG(2;F,112P) ⊂ AG(2;F,133P) based on
- linear OOA(8118, 97, F8, 2, 81) (dual of [(97, 2), 76, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,112P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(897, 97, F8, 2, 60) (dual of [(97, 2), 97, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,133P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(823, 22, F8, 2, 20) (dual of [(22, 2), 21, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(823, 24, F8, 2, 20) (dual of [(24, 2), 25, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(823, 24, F8, 2, 20) (dual of [(24, 2), 25, 21]-NRT-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.