Information on Result #1010967
Linear OOA(3229, 2796315, F3, 3, 20) (dual of [(2796315, 3), 8388716, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(333, 114, F3, 3, 10) (dual of [(114, 3), 309, 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(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-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(3230, 2796315, F3, 3, 20) (dual of [(2796315, 3), 8388715, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3231, 2796315, F3, 3, 20) (dual of [(2796315, 3), 8388714, 21]-NRT-code) | [i] | ||