Information on Result #2676901
Linear OOA(3157, 2796203, F3, 3, 16) (dual of [(2796203, 3), 8388452, 17]-NRT-code), using 2 times NRT-code embedding in larger space based on 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]
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(3158, 2796203, F3, 3, 16) (dual of [(2796203, 3), 8388451, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3237, 5592406, F3, 3, 16) (dual of [(5592406, 3), 16776981, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3157, 2796203, F3, 4, 16) (dual of [(2796203, 4), 11184655, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3157, 2796203, F3, 5, 16) (dual of [(2796203, 5), 13980858, 17]-NRT-code) | [i] | ||
| 5 | Digital (141, 157, 2796203)-net over F3 | [i] | ||