Information on Result #1014778
Linear OOA(8159, 5592427, F8, 3, 19) (dual of [(5592427, 3), 16777122, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(813, 25, F8, 3, 9) (dual of [(25, 3), 62, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,65P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(8146, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
- trace code [i] based on 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
- trace code [i] based on linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-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(8159, 1864142, F8, 21, 19) (dual of [(1864142, 21), 39146823, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |