Information on Result #1010953
Linear OOA(3209, 2796211, F3, 3, 20) (dual of [(2796211, 3), 8388424, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 10, F3, 3, 10) (dual of [(10, 3), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F3 with g(F) = 3 and N(F) ≥ 10, using
- linear OOA(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-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(3209, 2796211, F3, 4, 20) (dual of [(2796211, 4), 11184635, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3209, 2796211, F3, 5, 20) (dual of [(2796211, 5), 13980846, 21]-NRT-code) | [i] | ||
| 3 | Digital (189, 209, 2796211)-net over F3 | [i] | ||