Information on Result #1011327
Linear OOA(3174, 72, F3, 3, 83) (dual of [(72, 3), 42, 84]-NRT-code), using (u, u+v)-construction based on
- linear OOA(367, 36, F3, 3, 41) (dual of [(36, 3), 41, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,66P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(3;F,33P) 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(3107, 36, F3, 3, 83) (dual of [(36, 3), 1, 84]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 38, F3, 3, 83) (dual of [(38, 3), 7, 84]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(350, 19, F3, 3, 41) (dual of [(19, 3), 7, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- repeating each code word 2 times [i] based on linear OOA(350, 19, F3, 3, 41) (dual of [(19, 3), 7, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 38, F3, 3, 83) (dual of [(38, 3), 7, 84]-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.