Information on Result #1081421
Linear OOA(3244, 2097234, F3, 4, 22) (dual of [(2097234, 4), 8388692, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(333, 84, F3, 4, 11) (dual of [(84, 4), 303, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (22, 33, 84)-net over F3, using
- trace code for nets [i] based on digital (0, 11, 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, 11, 28)-net over F27, using
- extracting embedded OOA [i] based on digital (22, 33, 84)-net over F3, using
- linear OOA(3211, 2097150, F3, 4, 22) (dual of [(2097150, 4), 8388389, 23]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3211, 8388600, F3, 22) (dual of [8388600, 8388389, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 4-folding [i] based on linear OA(3211, 8388600, F3, 22) (dual of [8388600, 8388389, 23]-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(3245, 2097234, F3, 4, 22) (dual of [(2097234, 4), 8388691, 23]-NRT-code) | [i] | OOA Duplication | |