Information on Result #1010938
Linear OOA(3208, 2796285, F3, 3, 19) (dual of [(2796285, 3), 8388647, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(327, 84, F3, 3, 9) (dual of [(84, 3), 225, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 27, 84)-net over F3, using
- trace code for nets [i] based on digital (0, 9, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- trace code for nets [i] based on digital (0, 9, 28)-net over F27, using
- extracting embedded OOA [i] based on digital (18, 27, 84)-net over F3, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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(3181, large, F3, 19) (dual of [large, large−181, 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(3208, 2796285, F3, 3, 18) (dual of [(2796285, 3), 8388647, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3209, 2796285, F3, 3, 19) (dual of [(2796285, 3), 8388646, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3210, 2796285, F3, 3, 19) (dual of [(2796285, 3), 8388645, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3208, 932094, F3, 21, 19) (dual of [(932094, 21), 19573766, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |