Information on Result #1010811
Linear OOA(3160, 2796208, F3, 3, 16) (dual of [(2796208, 3), 8388464, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, 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(3236, 5592409, F3, 3, 16) (dual of [(5592409, 3), 16776991, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3240, 5592413, F3, 3, 16) (dual of [(5592413, 3), 16776999, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 5592416, F3, 3, 16) (dual of [(5592416, 3), 16777007, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3160, 2796208, F3, 4, 16) (dual of [(2796208, 4), 11184672, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(3160, 2796208, F3, 5, 16) (dual of [(2796208, 5), 13980880, 17]-NRT-code) | [i] | ||
| 6 | Digital (144, 160, 2796208)-net over F3 | [i] | ||