Information on Result #1011905
Linear OOA(4140, 2796269, F4, 3, 14) (dual of [(2796269, 3), 8388667, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(419, 68, F4, 3, 7) (dual of [(68, 3), 185, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(45, 41, F4, 3, 3) (dual of [(41, 3), 118, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(45, 41, F4, 2, 3) (dual of [(41, 2), 77, 4]-NRT-code), using
- linear OOA(414, 34, F4, 3, 7) (dual of [(34, 3), 88, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 34)-net over F4, using
- trace code for nets [i] based on digital (0, 7, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- trace code for nets [i] based on digital (0, 7, 17)-net over F16, using
- extracting embedded OOA [i] based on digital (7, 14, 34)-net over F4, using
- linear OOA(45, 41, F4, 3, 3) (dual of [(41, 3), 118, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4121, 2796201, F4, 3, 14) (dual of [(2796201, 3), 8388482, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-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.