Information on Result #1014245
Linear OOA(859, 5637576, F8, 3, 7) (dual of [(5637576, 3), 16912669, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(89, 45174, F8, 3, 3) (dual of [(45174, 3), 135513, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(89, 45174, F8, 2, 3) (dual of [(45174, 2), 90339, 4]-NRT-code), using
- linear OOA(850, 5592402, F8, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
- trace code [i] based on linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- trace code [i] based on linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-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(859, 5637575, F8, 9, 7) (dual of [(5637575, 9), 50738116, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |