Information on Result #924758
Linear OOA(8131, 118, F8, 2, 72) (dual of [(118, 2), 105, 73]-NRT-code), using construction X applied to AG(2;F,121P) ⊂ AG(2;F,141P) based on
- linear OOA(8109, 97, F8, 2, 72) (dual of [(97, 2), 85, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,121P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(889, 97, F8, 2, 52) (dual of [(97, 2), 105, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,141P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(822, 21, F8, 2, 19) (dual of [(21, 2), 20, 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.