Information on Result #676008
Linear OA(3209, 2207, F3, 44) (dual of [2207, 1998, 45]-code), using construction X applied to Ce(43) ⊂ Ce(39) based on
- linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
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(3209, 1865, F3, 2, 44) (dual of [(1865, 2), 3521, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3209, 1865, F3, 3, 44) (dual of [(1865, 3), 5386, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 1865, F3, 4, 44) (dual of [(1865, 4), 7251, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(3209, 1865, F3, 5, 44) (dual of [(1865, 5), 9116, 45]-NRT-code) | [i] | ||
| 5 | Digital (165, 209, 1865)-net over F3 | [i] | ||
| 6 | Linear OOA(3209, 1103, F3, 2, 44) (dual of [(1103, 2), 1997, 45]-NRT-code) | [i] | OOA Folding | |