Information on Result #1081398
Linear OOA(3243, 2097264, F3, 4, 21) (dual of [(2097264, 4), 8388813, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(333, 114, F3, 4, 10) (dual of [(114, 4), 423, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (23, 33, 114)-net over F3, using
- trace code for nets [i] based on digital (1, 11, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- trace code for nets [i] based on digital (1, 11, 38)-net over F27, using
- extracting embedded OOA [i] based on digital (23, 33, 114)-net over F3, using
- linear OOA(3210, 2097150, F3, 4, 21) (dual of [(2097150, 4), 8388390, 22]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3210, 8388600, F3, 21) (dual of [8388600, 8388390, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 4-folding [i] based on linear OA(3210, 8388600, F3, 21) (dual of [8388600, 8388390, 22]-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(3244, 2097264, F3, 4, 21) (dual of [(2097264, 4), 8388812, 22]-NRT-code) | [i] | OOA Duplication | |