Information on Result #1010812
Linear OOA(3161, 2796209, F3, 3, 16) (dual of [(2796209, 3), 8388466, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 8, F3, 3, 8) (dual of [(8, 3), 14, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, 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(3237, 5592410, F3, 3, 16) (dual of [(5592410, 3), 16776993, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3242, 5592418, F3, 3, 16) (dual of [(5592418, 3), 16777012, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3161, 2796209, F3, 4, 16) (dual of [(2796209, 4), 11184675, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3161, 2796209, F3, 5, 16) (dual of [(2796209, 5), 13980884, 17]-NRT-code) | [i] | ||
| 5 | Digital (145, 161, 2796209)-net over F3 | [i] | ||