Information on Result #611966
Linear OA(3125, 2201, F3, 25) (dual of [2201, 2076, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
- linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3112, 2188, F3, 12) (dual of [2188, 2076, 13]-code), using the narrow-sense BCH-code C(I) with length 2188 | 314−1, 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(3125, 1740, F3, 2, 25) (dual of [(1740, 2), 3355, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3125, 1740, F3, 3, 25) (dual of [(1740, 3), 5095, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3125, 1740, F3, 4, 25) (dual of [(1740, 4), 6835, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3125, 1740, F3, 5, 25) (dual of [(1740, 5), 8575, 26]-NRT-code) | [i] | ||
| 5 | Digital (100, 125, 1740)-net over F3 | [i] | ||