Information on Result #923021
Linear OOA(8121, 82, F8, 2, 88) (dual of [(82, 2), 43, 89]-NRT-code), using construction X applied to AG(2;F,39P) ⊂ AG(2;F,56P) based on
- linear OOA(8102, 64, F8, 2, 88) (dual of [(64, 2), 26, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,39P) [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(885, 64, F8, 2, 71) (dual of [(64, 2), 43, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,56P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(819, 18, F8, 2, 16) (dual of [(18, 2), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(819, 24, F8, 2, 16) (dual of [(24, 2), 29, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,31P) [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,31P) [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(819, 24, F8, 2, 16) (dual of [(24, 2), 29, 17]-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.