Information on Result #952546
Linear OOA(3101, 19683, F3, 3, 16) (dual of [(19683, 3), 58948, 17]-NRT-code), using OOA 3-folding based on linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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(3101, 19683, F3, 4, 16) (dual of [(19683, 4), 78631, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3101, 19683, F3, 5, 16) (dual of [(19683, 5), 98314, 17]-NRT-code) | [i] | ||
3 | Digital (85, 101, 19683)-net over F3 | [i] |