Information on Result #675777
Linear OA(3116, 2192, F3, 25) (dual of [2192, 2076, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) 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(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [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(3116, 1125, F3, 2, 25) (dual of [(1125, 2), 2134, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3116, 1125, F3, 3, 25) (dual of [(1125, 3), 3259, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3116, 1125, F3, 4, 25) (dual of [(1125, 4), 4384, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3116, 1125, F3, 5, 25) (dual of [(1125, 5), 5509, 26]-NRT-code) | [i] | ||
| 5 | Digital (91, 116, 1125)-net over F3 | [i] | ||