Information on Result #2620846
Linear OOA(375, 38, F3, 3, 45) (dual of [(38, 3), 39, 46]-NRT-code), using strength reduction based on linear OOA(375, 38, F3, 3, 46) (dual of [(38, 3), 39, 47]-NRT-code), using
- construction X applied to AG(3;F,30P) ⊂ AG(3;F,32P) [i] based on
- linear OOA(373, 36, F3, 3, 47) (dual of [(36, 3), 35, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,30P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(369, 36, F3, 3, 43) (dual of [(36, 3), 39, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,32P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(32, 2, F3, 3, 2) (dual of [(2, 3), 4, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32, 3, F3, 3, 2) (dual of [(3, 3), 7, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(3;7,3) [i]
- discarding factors / shortening the dual code based on linear OOA(32, 3, F3, 3, 2) (dual of [(3, 3), 7, 3]-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.