Information on Result #2495888
Linear OOA(4212, 4194496, F4, 2, 21) (dual of [(4194496, 2), 8388780, 22]-NRT-code), using 41 times duplication based on linear OOA(4211, 4194496, F4, 2, 21) (dual of [(4194496, 2), 8388781, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(430, 195, F4, 2, 10) (dual of [(195, 2), 360, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 30, 195)-net over F4, using
- trace code for nets [i] based on digital (0, 10, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- trace code for nets [i] based on digital (0, 10, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (20, 30, 195)-net over F4, using
- linear OOA(4181, 4194301, F4, 2, 21) (dual of [(4194301, 2), 8388421, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- linear OOA(430, 195, F4, 2, 10) (dual of [(195, 2), 360, 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.