Information on Result #675932
Linear OA(3221, 2200, F3, 47) (dual of [2200, 1979, 48]-code), using construction X applied to Ce(46) ⊂ Ce(43) based on
- linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- 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(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(3221, 1854, F3, 2, 47) (dual of [(1854, 2), 3487, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3221, 1854, F3, 3, 47) (dual of [(1854, 3), 5341, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(3221, 1854, F3, 4, 47) (dual of [(1854, 4), 7195, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(3221, 1854, F3, 5, 47) (dual of [(1854, 5), 9049, 48]-NRT-code) | [i] | ||
| 5 | Digital (174, 221, 1854)-net over F3 | [i] | ||
| 6 | Linear OOA(3221, 1100, F3, 2, 47) (dual of [(1100, 2), 1979, 48]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3221, 733, F3, 3, 47) (dual of [(733, 3), 1978, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(3221, 550, F3, 4, 47) (dual of [(550, 4), 1979, 48]-NRT-code) | [i] | ||
| 9 | Linear OOA(3221, 440, F3, 5, 47) (dual of [(440, 5), 1979, 48]-NRT-code) | [i] | ||