Information on Result #1018022
Linear OOA(6483, 2796281, F64, 3, 19) (dual of [(2796281, 3), 8388760, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6410, 80, F64, 3, 9) (dual of [(80, 3), 230, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,230P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, 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(6473, large, F64, 19) (dual of [large, large−73, 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(6484, 2796281, F64, 3, 19) (dual of [(2796281, 3), 8388759, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(6483, 932093, F64, 21, 19) (dual of [(932093, 21), 19573870, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |