Information on Result #1012008
Linear OOA(4191, 2796715, F4, 3, 18) (dual of [(2796715, 3), 8389954, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(434, 514, F4, 3, 9) (dual of [(514, 3), 1508, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 34, 514)-net over F4, using
- trace code for nets [i] based on digital (8, 17, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(8,256) in PG(16,16)) 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
- base reduction for projective spaces (embedding PG(8,256) in PG(16,16)) for nets [i] based on digital (0, 9, 257)-net over F256, using
- trace code for nets [i] based on digital (8, 17, 257)-net over F16, using
- extracting embedded OOA [i] based on digital (25, 34, 514)-net over F4, using
- linear OOA(4157, 2796201, F4, 3, 18) (dual of [(2796201, 3), 8388446, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-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(4192, 2796715, F4, 3, 18) (dual of [(2796715, 3), 8389953, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4191, 932238, F4, 21, 18) (dual of [(932238, 21), 19576807, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |