Information on Result #1081312
Linear OOA(3202, 2097190, F3, 4, 18) (dual of [(2097190, 4), 8388558, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(322, 40, F3, 4, 9) (dual of [(40, 4), 138, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 22, 40)-net over F3, using
- trace code for nets [i] based on digital (2, 11, 20)-net over F9, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- trace code for nets [i] based on digital (2, 11, 20)-net over F9, using
- extracting embedded OOA [i] based on digital (13, 22, 40)-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.