Information on Result #1011319
Linear OOA(3177, 74, F3, 3, 82) (dual of [(74, 3), 45, 83]-NRT-code), using (u, u+v)-construction based on
- linear OOA(368, 37, F3, 3, 41) (dual of [(37, 3), 43, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 68, 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, 68, 37)-net over F3, using
- linear OOA(3109, 37, F3, 3, 82) (dual of [(37, 3), 2, 83]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3109, 111, F3, 82) (dual of [111, 2, 83]-code), using
- 1 times truncation [i] based on linear OA(3110, 112, F3, 83) (dual of [112, 2, 84]-code), using
- repeating each code word 28 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- repeating each code word 28 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- 1 times truncation [i] based on linear OA(3110, 112, F3, 83) (dual of [112, 2, 84]-code), using
- OOA 3-folding [i] based on linear OA(3109, 111, F3, 82) (dual of [111, 2, 83]-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.