Information on Result #2687475
Linear OOA(4215, 2796441, F4, 3, 20) (dual of [(2796441, 3), 8389108, 21]-NRT-code), using 42 times duplication based on linear OOA(4213, 2796441, F4, 3, 20) (dual of [(2796441, 3), 8389110, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(433, 240, F4, 3, 10) (dual of [(240, 3), 687, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (23, 33, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 11, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 11, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (23, 33, 240)-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
- linear OOA(433, 240, F4, 3, 10) (dual of [(240, 3), 687, 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.