Information on Result #1012042
Linear OOA(4203, 2796715, F4, 3, 19) (dual of [(2796715, 3), 8389942, 20]-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(4169, 2796201, F4, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-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(4204, 2796715, F4, 3, 19) (dual of [(2796715, 3), 8389941, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4203, 932238, F4, 21, 19) (dual of [(932238, 21), 19576795, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |