Information on Result #2235114
Linear OA(3225, 2194, F3, 48) (dual of [2194, 1969, 49]-code), using 1 times truncation based on linear OA(3226, 2195, F3, 49) (dual of [2195, 1969, 50]-code), using
- construction X applied to Ce(48) ⊂ Ce(46) [i] based on
- 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(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(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3225, 1852, F3, 2, 48) (dual of [(1852, 2), 3479, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3225, 1852, F3, 3, 48) (dual of [(1852, 3), 5331, 49]-NRT-code) | [i] | ||
| 3 | Linear OOA(3225, 1852, F3, 4, 48) (dual of [(1852, 4), 7183, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(3225, 1852, F3, 5, 48) (dual of [(1852, 5), 9035, 49]-NRT-code) | [i] | ||
| 5 | Digital (177, 225, 1852)-net over F3 | [i] | ||
| 6 | Linear OOA(3225, 1097, F3, 2, 48) (dual of [(1097, 2), 1969, 49]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3225, 731, F3, 3, 48) (dual of [(731, 3), 1968, 49]-NRT-code) | [i] | ||
| 8 | Linear OOA(3225, 548, F3, 4, 48) (dual of [(548, 4), 1967, 49]-NRT-code) | [i] | ||
| 9 | Linear OOA(3225, 438, F3, 5, 48) (dual of [(438, 5), 1965, 49]-NRT-code) | [i] | ||