Information on Result #2677400
Linear OOA(3242, 2796285, F3, 3, 21) (dual of [(2796285, 3), 8388613, 22]-NRT-code), using 32 times duplication based on linear OOA(3240, 2796285, F3, 3, 21) (dual of [(2796285, 3), 8388615, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(330, 84, F3, 3, 10) (dual of [(84, 3), 222, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 30, 84)-net over F3, using
- trace code for nets [i] based on digital (0, 10, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- trace code for nets [i] based on digital (0, 10, 28)-net over F27, using
- extracting embedded OOA [i] based on digital (20, 30, 84)-net over F3, using
- linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- linear OOA(330, 84, F3, 3, 10) (dual of [(84, 3), 222, 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.