Information on Result #922893
Linear OOA(8140, 80, F8, 2, 109) (dual of [(80, 2), 20, 110]-NRT-code), using construction X applied to AG(2;F,18P) ⊂ AG(2;F,34P) based on
- linear OOA(8123, 64, F8, 2, 109) (dual of [(64, 2), 5, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) [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(8107, 64, F8, 2, 93) (dual of [(64, 2), 21, 94]-NRT-code), using algebraic-geometric NRT-code AG(2;F,34P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(817, 16, F8, 2, 15) (dual of [(16, 2), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 17, F8, 2, 15) (dual of [(17, 2), 17, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(817, 17, F8, 2, 15) (dual of [(17, 2), 17, 16]-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.