Information on Result #923213
Linear OOA(8142, 84, F8, 2, 107) (dual of [(84, 2), 26, 108]-NRT-code), using construction X applied to AG(2;F,20P) ⊂ AG(2;F,39P) based on
- linear OOA(8121, 64, F8, 2, 107) (dual of [(64, 2), 7, 108]-NRT-code), using algebraic-geometric NRT-code AG(2;F,20P) [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(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.