Information on Result #1012063
Linear OOA(4208, 2796291, F4, 3, 20) (dual of [(2796291, 3), 8388665, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(428, 90, F4, 3, 10) (dual of [(90, 3), 242, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 28, 90)-net over F4, using
- trace code for nets [i] based on digital (4, 14, 45)-net over F16, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- trace code for nets [i] based on digital (4, 14, 45)-net over F16, using
- extracting embedded OOA [i] based on digital (18, 28, 90)-net over F4, using
- linear OOA(4180, 2796201, F4, 3, 20) (dual of [(2796201, 3), 8388423, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 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.