Information on Result #675933
Linear OA(3222, 2205, F3, 47) (dual of [2205, 1983, 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(34, 18, F3, 2) (dual of [18, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), 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(3222, 1901, F3, 2, 47) (dual of [(1901, 2), 3580, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3222, 1901, F3, 3, 47) (dual of [(1901, 3), 5481, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(3222, 1901, F3, 4, 47) (dual of [(1901, 4), 7382, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(3222, 1901, F3, 5, 47) (dual of [(1901, 5), 9283, 48]-NRT-code) | [i] | ||
| 5 | Digital (175, 222, 1901)-net over F3 | [i] | ||
| 6 | Linear OOA(3222, 1102, F3, 2, 47) (dual of [(1102, 2), 1982, 48]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3222, 735, F3, 3, 47) (dual of [(735, 3), 1983, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(3222, 551, F3, 4, 47) (dual of [(551, 4), 1982, 48]-NRT-code) | [i] | ||
| 9 | Linear OOA(3222, 441, F3, 5, 47) (dual of [(441, 5), 1983, 48]-NRT-code) | [i] | ||