Information on Result #938313
Linear OOA(8144, 85, F8, 2, 109) (dual of [(85, 2), 26, 110]-NRT-code), using construction X applied to AG(2;F,18P) ⊂ AG(2;F,39P) based on
- linear OOA(8121, 64, F8, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) 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(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 (see above)
- linear OOA(823, 21, F8, 2, 20) (dual of [(21, 2), 19, 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.