Information on Result #2495087
Linear OOA(4162, 4195329, F4, 2, 15) (dual of [(4195329, 2), 8390496, 16]-NRT-code), using 41 times duplication based on linear OOA(4161, 4195329, F4, 2, 15) (dual of [(4195329, 2), 8390497, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(428, 1028, F4, 2, 7) (dual of [(1028, 2), 2028, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 28, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 7, 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, 7, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (21, 28, 1028)-net over F4, using
- linear OOA(4133, 4194301, F4, 2, 15) (dual of [(4194301, 2), 8388469, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4133, 8388602, F4, 15) (dual of [8388602, 8388469, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
- OOA 2-folding [i] based on linear OA(4133, 8388602, F4, 15) (dual of [8388602, 8388469, 16]-code), using
- linear OOA(428, 1028, F4, 2, 7) (dual of [(1028, 2), 2028, 8]-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.