Information on Result #1836497
OOA(4244, 2796588, S4, 3, 23), using (u, u+v)-construction based on
- OOA(439, 387, S4, 3, 11), using
- extracting embedded OOA [i] based on (28, 39, 387)-net in base 4, using
- trace code for nets [i] based on (2, 13, 129)-net in base 64, using
- 1 times m-reduction [i] based on (2, 14, 129)-net in base 64, using
- base change [i] based on digital (0, 12, 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, 12, 129)-net over F128, using
- 1 times m-reduction [i] based on (2, 14, 129)-net in base 64, using
- trace code for nets [i] based on (2, 13, 129)-net in base 64, using
- extracting embedded OOA [i] based on (28, 39, 387)-net in base 4, using
- linear OOA(4205, 2796201, F4, 3, 23) (dual of [(2796201, 3), 8388398, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-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(4245, 2796588, S4, 3, 23) | [i] | OOA Duplication | |
| 2 | OOA(4246, 2796588, S4, 3, 23) | [i] | ||