Information on Result #938253
Linear OOA(8148, 82, F8, 2, 118) (dual of [(82, 2), 16, 119]-NRT-code), using construction X applied to AG(2;F,8P) ⊂ AG(2;F,29P) based on
- linear OOA(8126, 64, F8, 2, 119) (dual of [(64, 2), 2, 120]-NRT-code), using algebraic-geometric NRT-code AG(2;F,8P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OOA(8112, 64, F8, 2, 98) (dual of [(64, 2), 16, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,29P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(822, 18, F8, 2, 19) (dual of [(18, 2), 14, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(822, 24, F8, 2, 19) (dual of [(24, 2), 26, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,28P) [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,28P) [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(822, 24, F8, 2, 19) (dual of [(24, 2), 26, 20]-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.