Information on Result #675991
Linear OA(339, 2200, F3, 8) (dual of [2200, 2161, 9]-code), using construction X applied to Ce(7) ⊂ Ce(4) based on
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(339, 1569, F3, 2, 8) (dual of [(1569, 2), 3099, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(339, 1569, F3, 3, 8) (dual of [(1569, 3), 4668, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(339, 1569, F3, 4, 8) (dual of [(1569, 4), 6237, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(339, 1569, F3, 5, 8) (dual of [(1569, 5), 7806, 9]-NRT-code) | [i] | ||
| 5 | Digital (31, 39, 1569)-net over F3 | [i] | ||
| 6 | Linear OOA(339, 1100, F3, 2, 8) (dual of [(1100, 2), 2161, 9]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(339, 733, F3, 3, 8) (dual of [(733, 3), 2160, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(339, 550, F3, 4, 8) (dual of [(550, 4), 2161, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(339, 550, F3, 5, 8) (dual of [(550, 5), 2711, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 10 | Linear OOA(339, 550, F3, 8, 8) (dual of [(550, 8), 4361, 9]-NRT-code) | [i] | ||