Information on Result #1010977
Linear OOA(3221, 2796208, F3, 3, 21) (dual of [(2796208, 3), 8388403, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(311, 7, F3, 3, 10) (dual of [(7, 3), 10, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- OOA 3-folding [i] based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-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(3221, 2796208, F3, 4, 21) (dual of [(2796208, 4), 11184611, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3221, 2796208, F3, 5, 21) (dual of [(2796208, 5), 13980819, 22]-NRT-code) | [i] | ||
| 3 | Digital (200, 221, 2796208)-net over F3 | [i] | ||