Information on Result #1081313
Linear OOA(3204, 2097206, F3, 4, 18) (dual of [(2097206, 4), 8388620, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(324, 56, F3, 4, 9) (dual of [(56, 4), 200, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 24, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 12, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- trace code for nets [i] based on digital (3, 12, 28)-net over F9, using
- extracting embedded OOA [i] based on digital (15, 24, 56)-net over F3, using
- linear OOA(3180, 2097150, F3, 4, 18) (dual of [(2097150, 4), 8388420, 19]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3180, 8388600, F3, 18) (dual of [8388600, 8388420, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- OOA 4-folding [i] based on linear OA(3180, 8388600, F3, 18) (dual of [8388600, 8388420, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.