Information on Result #1012033
Linear OOA(4191, 2796267, F4, 3, 19) (dual of [(2796267, 3), 8388610, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(422, 66, F4, 3, 9) (dual of [(66, 3), 176, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 22, 66)-net over F4, using
- trace code for nets [i] based on digital (2, 11, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- trace code for nets [i] based on digital (2, 11, 33)-net over F16, using
- extracting embedded OOA [i] based on digital (13, 22, 66)-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(4192, 2796267, F4, 3, 19) (dual of [(2796267, 3), 8388609, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4191, 932088, F4, 21, 19) (dual of [(932088, 21), 19573657, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |