Information on Result #611883
Linear OA(3123, 6573, F3, 21) (dual of [6573, 6450, 22]-code), using construction X applied to C([0,10]) ⊂ C([1,10]) based on
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3112, 6562, F3, 10) (dual of [6562, 6450, 11]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [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(3123, 4572, F3, 2, 21) (dual of [(4572, 2), 9021, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3123, 4572, F3, 3, 21) (dual of [(4572, 3), 13593, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3123, 4572, F3, 4, 21) (dual of [(4572, 4), 18165, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3123, 4572, F3, 5, 21) (dual of [(4572, 5), 22737, 22]-NRT-code) | [i] | ||
| 5 | Digital (102, 123, 4572)-net over F3 | [i] | ||