Information on Result #2687731
Linear OOA(4239, 2797229, F4, 3, 22) (dual of [(2797229, 3), 8391448, 23]-NRT-code), using 42 times duplication based on linear OOA(4237, 2797229, F4, 3, 22) (dual of [(2797229, 3), 8391450, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(444, 1028, F4, 3, 11) (dual of [(1028, 3), 3040, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (33, 44, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 11, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- trace code for nets [i] based on digital (0, 11, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (33, 44, 1028)-net over F4, using
- linear OOA(4193, 2796201, F4, 3, 22) (dual of [(2796201, 3), 8388410, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- OOA 3-folding [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- linear OOA(444, 1028, F4, 3, 11) (dual of [(1028, 3), 3040, 12]-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.