Information on Result #675952
Linear OA(3158, 2200, F3, 34) (dual of [2200, 2042, 35]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(3158, 1373, F3, 2, 34) (dual of [(1373, 2), 2588, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3158, 1373, F3, 3, 34) (dual of [(1373, 3), 3961, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3158, 1373, F3, 4, 34) (dual of [(1373, 4), 5334, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3158, 1373, F3, 5, 34) (dual of [(1373, 5), 6707, 35]-NRT-code) | [i] | ||
| 5 | Digital (124, 158, 1373)-net over F3 | [i] | ||
| 6 | Linear OOA(3158, 1100, F3, 2, 34) (dual of [(1100, 2), 2042, 35]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3158, 733, F3, 3, 34) (dual of [(733, 3), 2041, 35]-NRT-code) | [i] | ||
| 8 | Linear OOA(3158, 550, F3, 4, 34) (dual of [(550, 4), 2042, 35]-NRT-code) | [i] | ||
| 9 | Linear OOA(3158, 440, F3, 5, 34) (dual of [(440, 5), 2042, 35]-NRT-code) | [i] | ||