Information on Result #1117892
Linear OOA(3246, 1677864, F3, 5, 21) (dual of [(1677864, 5), 8389074, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(336, 144, F3, 5, 10) (dual of [(144, 5), 684, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (26, 36, 144)-net over F3, using
- trace code for nets [i] based on digital (2, 12, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- trace code for nets [i] based on digital (2, 12, 48)-net over F27, using
- extracting embedded OOA [i] based on digital (26, 36, 144)-net over F3, using
- linear OOA(3210, 1677720, F3, 5, 21) (dual of [(1677720, 5), 8388390, 22]-NRT-code), using
- OOA 5-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 5-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(3246, 838931, F3, 25, 21) (dual of [(838931, 25), 20973029, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |