Information on Result #1010644
Linear OOA(3128, 2796208, F3, 3, 13) (dual of [(2796208, 3), 8388496, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 7, F3, 3, 6) (dual of [(7, 3), 14, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-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(3188, 5592409, F3, 3, 13) (dual of [(5592409, 3), 16777039, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3191, 5592413, F3, 3, 13) (dual of [(5592413, 3), 16777048, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3192, 5592416, F3, 3, 13) (dual of [(5592416, 3), 16777056, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3128, 2796208, F3, 4, 13) (dual of [(2796208, 4), 11184704, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(3128, 2796208, F3, 5, 13) (dual of [(2796208, 5), 13980912, 14]-NRT-code) | [i] | ||
| 6 | Digital (115, 128, 2796208)-net over F3 | [i] | ||
| 7 | Linear OOA(3128, 1398103, F3, 15, 13) (dual of [(1398103, 15), 20971417, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |