Information on Result #813255
Linear OOA(394, 9848, F3, 2, 16) (dual of [(9848, 2), 19602, 17]-NRT-code), using OOA 2-folding based on linear OA(394, 19696, F3, 16) (dual of [19696, 19602, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, 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(394, 6732, F3, 3, 16) (dual of [(6732, 3), 20102, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(394, 6732, F3, 4, 16) (dual of [(6732, 4), 26834, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(394, 6732, F3, 5, 16) (dual of [(6732, 5), 33566, 17]-NRT-code) | [i] | ||
| 4 | Digital (78, 94, 6732)-net over F3 | [i] | ||