Information on Result #1010815
Linear OOA(3164, 2796218, F3, 3, 16) (dual of [(2796218, 3), 8388490, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 17, F3, 3, 8) (dual of [(17, 3), 38, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 13, 17)-net over F3, using
- linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3240, 5592419, F3, 3, 16) (dual of [(5592419, 3), 16777017, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3164, 2796218, F3, 4, 16) (dual of [(2796218, 4), 11184708, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3164, 2796218, F3, 5, 16) (dual of [(2796218, 5), 13980926, 17]-NRT-code) | [i] | ||
| 4 | Digital (148, 164, 2796218)-net over F3 | [i] | ||