Information on Result #675925
Linear OA(3242, 2200, F3, 52) (dual of [2200, 1958, 53]-code), using construction X applied to Ce(51) ⊂ Ce(48) based on
- linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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(3242, 1897, F3, 2, 52) (dual of [(1897, 2), 3552, 53]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3242, 1897, F3, 3, 52) (dual of [(1897, 3), 5449, 53]-NRT-code) | [i] | ||
| 3 | Linear OOA(3242, 1897, F3, 4, 52) (dual of [(1897, 4), 7346, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(3242, 1897, F3, 5, 52) (dual of [(1897, 5), 9243, 53]-NRT-code) | [i] | ||
| 5 | Digital (190, 242, 1897)-net over F3 | [i] | ||
| 6 | Linear OOA(3242, 1100, F3, 2, 52) (dual of [(1100, 2), 1958, 53]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3242, 733, F3, 3, 52) (dual of [(733, 3), 1957, 53]-NRT-code) | [i] | ||
| 8 | Linear OOA(3242, 550, F3, 4, 52) (dual of [(550, 4), 1958, 53]-NRT-code) | [i] | ||
| 9 | Linear OOA(3242, 440, F3, 5, 52) (dual of [(440, 5), 1958, 53]-NRT-code) | [i] | ||