Information on Result #1011429
Linear OOA(3208, 83, F3, 3, 93) (dual of [(83, 3), 41, 94]-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(3135, 46, F3, 3, 93) (dual of [(46, 3), 3, 94]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3135, 138, F3, 93) (dual of [138, 3, 94]-code), using
- 5 times truncation [i] based on linear OA(3140, 143, F3, 98) (dual of [143, 3, 99]-code), using
- repeating each code word 11 times [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- repeating each code word 11 times [i] based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- 5 times truncation [i] based on linear OA(3140, 143, F3, 98) (dual of [143, 3, 99]-code), using
- OOA 3-folding [i] based on linear OA(3135, 138, F3, 93) (dual of [138, 3, 94]-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.