Information on Result #675972
Linear OA(395, 2200, F3, 20) (dual of [2200, 2105, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) based on
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(395, 1155, F3, 2, 20) (dual of [(1155, 2), 2215, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(395, 1155, F3, 3, 20) (dual of [(1155, 3), 3370, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(395, 1155, F3, 4, 20) (dual of [(1155, 4), 4525, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(395, 1155, F3, 5, 20) (dual of [(1155, 5), 5680, 21]-NRT-code) | [i] | ||
| 5 | Digital (75, 95, 1155)-net over F3 | [i] | ||
| 6 | Linear OOA(395, 1100, F3, 2, 20) (dual of [(1100, 2), 2105, 21]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(395, 733, F3, 3, 20) (dual of [(733, 3), 2104, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(395, 550, F3, 4, 20) (dual of [(550, 4), 2105, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(395, 440, F3, 5, 20) (dual of [(440, 5), 2105, 21]-NRT-code) | [i] | ||