Information on Result #2623391
Linear OOA(3153, 53, F3, 3, 117) (dual of [(53, 3), 6, 118]-NRT-code), using strength reduction based on linear OOA(3153, 53, F3, 3, 119) (dual of [(53, 3), 6, 120]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(333, 13, F3, 3, 28) (dual of [(13, 3), 6, 29]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 33, 13)-net over F3, using
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- extracting embedded OOA [i] based on digital (5, 33, 13)-net over F3, using
- linear OOA(3114, 40, F3, 3, 90) (dual of [(40, 3), 6, 91]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(330, 12, F3, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,9P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12 (see above)
- linear OOA(378, 28, F3, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(330, 12, F3, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(333, 13, F3, 3, 28) (dual of [(13, 3), 6, 29]-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.