Information on Result #2702548
Linear OOA(9148, large, F9, 3, 11), using 11 times NRT-code embedding in larger space based on linear OOA(9115, large, F9, 3, 11), using
- (u, u+v)-construction [i] based on
- linear OOA(933, 4194301, F9, 3, 5) (dual of [(4194301, 3), 12582870, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(933, large, F9, 5) (dual of [large, large−33, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, 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(933, large, F9, 5) (dual of [large, large−33, 6]-code), using
- linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on 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
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- linear OOA(933, 4194301, F9, 3, 5) (dual of [(4194301, 3), 12582870, 6]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(9149, large, F9, 3, 11) | [i] | OOA Duplication | |
| 2 | Linear OOA(9150, large, F9, 3, 11) | [i] | ||