Information on Result #661967
Linear OA(3132, 6573, F3, 23) (dual of [6573, 6441, 24]-code), using (u, u+v)-construction based on
- linear OA(311, 12, F3, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,3)), using
- dual of repetition code with length 12 [i]
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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(3132, 4090, F3, 2, 23) (dual of [(4090, 2), 8048, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3132, 4090, F3, 3, 23) (dual of [(4090, 3), 12138, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3132, 4090, F3, 4, 23) (dual of [(4090, 4), 16228, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3132, 4090, F3, 5, 23) (dual of [(4090, 5), 20318, 24]-NRT-code) | [i] | ||
| 5 | Digital (109, 132, 4090)-net over F3 | [i] | ||