Information on Result #813245
Linear OOA(384, 3287, F3, 2, 16) (dual of [(3287, 2), 6490, 17]-NRT-code), using OOA 2-folding based on linear OA(384, 6574, F3, 16) (dual of [6574, 6490, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(365, 6561, F3, 13) (dual of [6561, 6496, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(384, 2885, F3, 3, 16) (dual of [(2885, 3), 8571, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(384, 2885, F3, 4, 16) (dual of [(2885, 4), 11456, 17]-NRT-code) | [i] | ||
3 | Linear OOA(384, 2885, F3, 5, 16) (dual of [(2885, 5), 14341, 17]-NRT-code) | [i] | ||
4 | Digital (68, 84, 2885)-net over F3 | [i] |