Information on Result #991197
Linear OOA(8131, 2187, F81, 3, 16) (dual of [(2187, 3), 6530, 17]-NRT-code), using OOA 3-folding based on linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(8139, 2269, F81, 3, 16) (dual of [(2269, 3), 6768, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8140, 2287, F81, 3, 16) (dual of [(2287, 3), 6821, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(8141, 2303, F81, 3, 16) (dual of [(2303, 3), 6868, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(8143, 2351, F81, 3, 16) (dual of [(2351, 3), 7010, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(8144, 2369, F81, 3, 16) (dual of [(2369, 3), 7063, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(8131, 1872, F81, 4, 16) (dual of [(1872, 4), 7457, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (15, 31, 1872)-net over F81 | [i] | ||