Information on Result #611969
Linear OA(3141, 6575, F3, 25) (dual of [6575, 6434, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3128, 6562, F3, 12) (dual of [6562, 6434, 13]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [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(3141, 3760, F3, 2, 25) (dual of [(3760, 2), 7379, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3141, 3760, F3, 3, 25) (dual of [(3760, 3), 11139, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3141, 3760, F3, 4, 25) (dual of [(3760, 4), 14899, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3141, 3760, F3, 5, 25) (dual of [(3760, 5), 18659, 26]-NRT-code) | [i] | ||
| 5 | Digital (116, 141, 3760)-net over F3 | [i] | ||