Information on Result #661903
Linear OA(3230, 19707, F3, 35) (dual of [19707, 19477, 36]-code), using (u, u+v)-construction based on
- linear OA(322, 24, F3, 17) (dual of [24, 2, 18]-code), using
- repeating each code word 6 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 6 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(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(3230, 13435, F3, 2, 35) (dual of [(13435, 2), 26640, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3230, 13435, F3, 3, 35) (dual of [(13435, 3), 40075, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3230, 13435, F3, 4, 35) (dual of [(13435, 4), 53510, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3230, 13435, F3, 5, 35) (dual of [(13435, 5), 66945, 36]-NRT-code) | [i] | ||
| 5 | Digital (195, 230, 13435)-net over F3 | [i] | ||