Information on Result #1010924
Linear OOA(3191, 2796208, F3, 3, 19) (dual of [(2796208, 3), 8388433, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 7, F3, 3, 9) (dual of [(7, 3), 11, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,11P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-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(3191, 2796208, F3, 4, 19) (dual of [(2796208, 4), 11184641, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3191, 2796208, F3, 5, 19) (dual of [(2796208, 5), 13980849, 20]-NRT-code) | [i] | ||
| 3 | Digital (172, 191, 2796208)-net over F3 | [i] | ||
| 4 | Linear OOA(3191, 932069, F3, 21, 19) (dual of [(932069, 21), 19573258, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |