Information on Result #1018580
Linear OOA(8158, 5592402, F81, 3, 11) (dual of [(5592402, 3), 16777148, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8117, 4194301, F81, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-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, 5592402, F81, 3, 11) (dual of [(5592402, 3), 16777147, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8160, 5592402, F81, 3, 11) (dual of [(5592402, 3), 16777146, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(8175, large, F81, 3, 11) | [i] | (u, u+v)-Construction for OOAs | |