Information on Result #2677309
Linear OOA(3223, 2796257, F3, 3, 20) (dual of [(2796257, 3), 8388548, 21]-NRT-code), using 31 times duplication based on linear OOA(3222, 2796257, F3, 3, 20) (dual of [(2796257, 3), 8388549, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(326, 56, F3, 3, 10) (dual of [(56, 3), 142, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 26, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 13, 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, 13, 28)-net over F9, using
- extracting embedded OOA [i] based on digital (16, 26, 56)-net over F3, using
- linear OOA(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- linear OOA(326, 56, F3, 3, 10) (dual of [(56, 3), 142, 11]-NRT-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.