Information on Result #661938
Linear OA(3190, 19703, F3, 29) (dual of [19703, 19513, 30]-code), using (u, u+v)-construction based on
- linear OA(318, 20, F3, 14) (dual of [20, 2, 15]-code), using
- repeating each code word 5 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- repeating each code word 5 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3190, 11920, F3, 2, 29) (dual of [(11920, 2), 23650, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3190, 11920, F3, 3, 29) (dual of [(11920, 3), 35570, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3190, 11920, F3, 4, 29) (dual of [(11920, 4), 47490, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3190, 11920, F3, 5, 29) (dual of [(11920, 5), 59410, 30]-NRT-code) | [i] | ||
| 5 | Digital (161, 190, 11920)-net over F3 | [i] | ||