Information on Result #895657
Linear OOA(4205, 4195329, F4, 2, 19) (dual of [(4195329, 2), 8390453, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(436, 1028, F4, 2, 9) (dual of [(1028, 2), 2020, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 36, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 9, 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, 9, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (27, 36, 1028)-net over F4, using
- linear OOA(4169, 4194301, F4, 2, 19) (dual of [(4194301, 2), 8388433, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- OOA 2-folding [i] based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-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.