Information on Result #675977
Linear OA(381, 2200, F3, 17) (dual of [2200, 2119, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- 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(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(381, 1112, F3, 2, 17) (dual of [(1112, 2), 2143, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(381, 1112, F3, 3, 17) (dual of [(1112, 3), 3255, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(381, 1112, F3, 4, 17) (dual of [(1112, 4), 4367, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(381, 1112, F3, 5, 17) (dual of [(1112, 5), 5479, 18]-NRT-code) | [i] | ||
| 5 | Digital (64, 81, 1112)-net over F3 | [i] | ||
| 6 | Linear OOA(381, 1100, F3, 2, 17) (dual of [(1100, 2), 2119, 18]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(381, 733, F3, 3, 17) (dual of [(733, 3), 2118, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(381, 550, F3, 4, 17) (dual of [(550, 4), 2119, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(381, 440, F3, 5, 17) (dual of [(440, 5), 2119, 18]-NRT-code) | [i] | ||