Information on Result #1021078
Linear OOA(3145, 62, F3, 3, 71) (dual of [(62, 3), 41, 72]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(334, 20, F3, 3, 23) (dual of [(20, 3), 26, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 34, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 34, 20)-net over F3, using
- linear OOA(348, 21, F3, 3, 35) (dual of [(21, 3), 15, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(348, 24, F3, 3, 35) (dual of [(24, 3), 24, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,36P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(348, 24, F3, 3, 35) (dual of [(24, 3), 24, 36]-NRT-code), using
- linear OOA(363, 21, F3, 3, 63) (dual of [(21, 3), 0, 64]-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.