Information on Result #1836491
OOA(4173, 2796459, S4, 3, 17), using (u, u+v)-construction based on
- OOA(428, 258, S4, 3, 8), using
- extracting embedded OOA [i] based on (20, 28, 258)-net in base 4, using
- trace code for nets [i] based on (6, 14, 129)-net in base 16, using
- base change [i] based on digital (0, 8, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- base change [i] based on digital (0, 8, 129)-net over F128, using
- trace code for nets [i] based on (6, 14, 129)-net in base 16, using
- extracting embedded OOA [i] based on (20, 28, 258)-net in base 4, using
- linear OOA(4145, 2796201, F4, 3, 17) (dual of [(2796201, 3), 8388458, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
Mode: Constructive.
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(4173, 2796459, S4, 3, 16) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(4174, 2796459, S4, 3, 17) | [i] | OOA Duplication | |