Information on Result #1081376
Linear OOA(3236, 2097478, F3, 4, 20) (dual of [(2097478, 4), 8389676, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(340, 328, F3, 4, 10) (dual of [(328, 4), 1272, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (30, 40, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 10, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 10, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (30, 40, 328)-net over F3, using
- linear OOA(3196, 2097150, F3, 4, 20) (dual of [(2097150, 4), 8388404, 21]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 4-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 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(3237, 2097478, F3, 4, 20) (dual of [(2097478, 4), 8389675, 21]-NRT-code) | [i] | OOA Duplication | |