Information on Result #661969
Linear OA(3150, 19699, F3, 23) (dual of [19699, 19549, 24]-code), using (u, u+v)-construction based on
- linear OA(314, 16, F3, 11) (dual of [16, 2, 12]-code), using
- repeating each code word 4 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 4 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(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(3150, 10518, F3, 2, 23) (dual of [(10518, 2), 20886, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3150, 10518, F3, 3, 23) (dual of [(10518, 3), 31404, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3150, 10518, F3, 4, 23) (dual of [(10518, 4), 41922, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3150, 10518, F3, 5, 23) (dual of [(10518, 5), 52440, 24]-NRT-code) | [i] | ||
| 5 | Digital (127, 150, 10518)-net over F3 | [i] | ||