Information on Result #938319
Linear OOA(8145, 86, F8, 2, 109) (dual of [(86, 2), 27, 110]-NRT-code), using construction X applied to AG(2;F,18P) ⊂ AG(2;F,40P) 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(8101, 64, F8, 2, 87) (dual of [(64, 2), 27, 88]-NRT-code), using algebraic-geometric NRT-code AG(2;F,40P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(824, 22, F8, 2, 21) (dual of [(22, 2), 20, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [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,26P) [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(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-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.