Information on Result #675939
Linear OA(3200, 2200, F3, 43) (dual of [2200, 2000, 44]-code), using construction X applied to Ce(42) ⊂ Ce(39) based on
- linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(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(3200, 1100, F3, 2, 43) (dual of [(1100, 2), 2000, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3200, 733, F3, 3, 43) (dual of [(733, 3), 1999, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(3200, 550, F3, 4, 43) (dual of [(550, 4), 2000, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 440, F3, 5, 43) (dual of [(440, 5), 2000, 44]-NRT-code) | [i] | ||