Information on Result #2989464
Linear OOA(2219, 58, F2, 8, 105) (dual of [(58, 8), 245, 106]-NRT-code), using strength reduction based on linear OOA(2219, 58, F2, 8, 107) (dual of [(58, 8), 245, 108]-NRT-code), using
- construction X applied to AG(8;F,138P) ⊂ AG(8;F,157P) [i] based on
- linear OOA(2176, 48, F2, 8, 107) (dual of [(48, 8), 208, 108]-NRT-code), using algebraic-geometric NRT-code AG(8;F,138P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2138, 48, F2, 8, 69) (dual of [(48, 8), 246, 70]-NRT-code), using algebraic-geometric NRT-code AG(8;F,157P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(243, 10, F2, 8, 37) (dual of [(10, 8), 37, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,42P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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.