Information on Result #1081375
Linear OOA(3232, 2097294, F3, 4, 20) (dual of [(2097294, 4), 8388944, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(336, 144, F3, 4, 10) (dual of [(144, 4), 540, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (26, 36, 144)-net over F3, using
- trace code for nets [i] based on digital (2, 12, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- trace code for nets [i] based on digital (2, 12, 48)-net over F27, using
- extracting embedded OOA [i] based on digital (26, 36, 144)-net over F3, using
- linear OOA(3196, 2097150, F3, 4, 20) (dual of [(2097150, 4), 8388404, 21]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 4-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-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.