Information on Result #952552
Linear OOA(3111, 59049, F3, 3, 16) (dual of [(59049, 3), 177036, 17]-NRT-code), using OOA 3-folding based on linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, 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(3111, 52039, F3, 4, 16) (dual of [(52039, 4), 208045, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3111, 52039, F3, 5, 16) (dual of [(52039, 5), 260084, 17]-NRT-code) | [i] | ||
| 3 | Digital (95, 111, 52039)-net over F3 | [i] | ||