Information on Result #1011885
Linear OOA(4131, 2796715, F4, 3, 13) (dual of [(2796715, 3), 8390014, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(422, 514, F4, 3, 6) (dual of [(514, 3), 1520, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 22, 514)-net over F4, using
- trace code for nets [i] based on digital (5, 11, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(5,256) in PG(10,16)) for nets [i] based on digital (0, 6, 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 reduction for projective spaces (embedding PG(5,256) in PG(10,16)) for nets [i] based on digital (0, 6, 257)-net over F256, using
- trace code for nets [i] based on digital (5, 11, 257)-net over F16, using
- extracting embedded OOA [i] based on digital (16, 22, 514)-net over F4, using
- linear OOA(4109, 2796201, F4, 3, 13) (dual of [(2796201, 3), 8388494, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4131, 2796715, F4, 3, 12) (dual of [(2796715, 3), 8390014, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4132, 2796715, F4, 3, 13) (dual of [(2796715, 3), 8390013, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4131, 1398357, F4, 15, 13) (dual of [(1398357, 15), 20975224, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |