Information on Result #924662
Linear OOA(8173, 117, F8, 2, 115) (dual of [(117, 2), 61, 116]-NRT-code), using construction X applied to AG(2;F,78P) ⊂ AG(2;F,97P) based on
- linear OOA(8152, 97, F8, 2, 115) (dual of [(97, 2), 42, 116]-NRT-code), using algebraic-geometric NRT-code AG(2;F,78P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8133, 97, F8, 2, 96) (dual of [(97, 2), 61, 97]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(821, 20, F8, 2, 18) (dual of [(20, 2), 19, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(821, 24, F8, 2, 18) (dual of [(24, 2), 27, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,29P) [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,29P) [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(821, 24, F8, 2, 18) (dual of [(24, 2), 27, 19]-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.