Information on Result #1838653
OOA(12853, 2097536, S128, 4, 13), using (u, u+v)-construction based on
- OOA(12810, 386, S128, 4, 6), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;513,128) [i]
- OOA(1287, 257, S128, 4, 6), using
- extracting embedded OOA [i] based on (1, 7, 257)-net in base 128, using
- 1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
- base change [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
- base change [i] based on digital (0, 7, 257)-net over F256, using
- 1 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
- extracting embedded OOA [i] based on (1, 7, 257)-net in base 128, using
- linear OOA(1283, 129, F128, 4, 3) (dual of [(129, 4), 513, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA(12843, 2097150, S128, 4, 13), using
- OOA 4-folding [i] based on OA(12843, 8388600, S128, 13), using
- discarding factors based on OA(12843, large, S128, 13), using
- discarding parts of the base [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding parts of the base [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- discarding factors based on OA(12843, large, S128, 13), using
- OOA 4-folding [i] based on OA(12843, 8388600, S128, 13), 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(12872, 4195072, S128, 4, 13) | [i] | (u, u+v)-Construction for OOAs | |