Information on Result #1010754
Linear OOA(3158, 2796208, F3, 3, 15) (dual of [(2796208, 3), 8388466, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(38, 7, F3, 3, 7) (dual of [(7, 3), 13, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3150, 2796201, F3, 3, 15) (dual of [(2796201, 3), 8388453, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-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(3219, 5592409, F3, 3, 15) (dual of [(5592409, 3), 16777008, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3222, 5592413, F3, 3, 15) (dual of [(5592413, 3), 16777017, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3223, 5592416, F3, 3, 15) (dual of [(5592416, 3), 16777025, 16]-NRT-code) | [i] | ||