Information on Result #1011414
Linear OOA(3183, 74, F3, 3, 92) (dual of [(74, 3), 39, 93]-NRT-code), using (u, u+v)-construction based on
- linear OOA(373, 37, F3, 3, 46) (dual of [(37, 3), 38, 47]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 73, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 73, 37)-net over F3, using
- linear OOA(3110, 37, F3, 3, 92) (dual of [(37, 3), 1, 93]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3110, 38, F3, 3, 92) (dual of [(38, 3), 4, 93]-NRT-code), using
- 6 step truncation [i] based on linear OOA(3116, 40, F3, 3, 98) (dual of [(40, 3), 4, 99]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- linear OOA(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,3) [i]
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- concatenation of two NRT-codes [i] based on
- 6 step truncation [i] based on linear OOA(3116, 40, F3, 3, 98) (dual of [(40, 3), 4, 99]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3110, 38, F3, 3, 92) (dual of [(38, 3), 4, 93]-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.