Information on Result #1016025
Linear OOA(9107, large, F9, 3, 10), using (u, u+v)-construction 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(974, 5592402, F9, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-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(9107, large, F9, 3, 9) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9107, large, F9, 3, 8) | [i] | ||
| 3 | Linear OOA(9107, large, F9, 3, 7) | [i] | ||
| 4 | Linear OOA(9107, large, F9, 3, 6) | [i] | ||
| 5 | Linear OOA(9107, large, F9, 3, 5) | [i] | ||
| 6 | Linear OOA(9107, large, F9, 3, 4) | [i] | ||
| 7 | Linear OOA(9107, large, F9, 3, 3) | [i] | ||
| 8 | Linear OOA(9110, large, F9, 3, 10) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(9113, large, F9, 3, 10) | [i] | ||
| 10 | Linear OOA(9116, large, F9, 3, 10) | [i] | ||
| 11 | Linear OOA(9119, large, F9, 3, 10) | [i] | ||
| 12 | Linear OOA(9122, large, F9, 3, 10) | [i] | ||
| 13 | Linear OOA(9125, large, F9, 3, 10) | [i] | ||
| 14 | Linear OOA(9128, large, F9, 3, 10) | [i] | ||
| 15 | Linear OOA(9134, large, F9, 3, 10) | [i] | ||
| 16 | Linear OOA(9137, large, F9, 3, 10) | [i] | ||
| 17 | Linear OOA(9140, large, F9, 3, 10) | [i] | ||
| 18 | Linear OOA(9143, large, F9, 3, 10) | [i] | ||
| 19 | Linear OOA(9146, large, F9, 3, 10) | [i] | ||
| 20 | Linear OOA(9149, large, F9, 3, 10) | [i] | ||
| 21 | Linear OOA(9108, large, F9, 3, 10) | [i] | OOA Duplication | |
| 22 | Linear OOA(9109, large, F9, 3, 10) | [i] | ||
| 23 | Linear OOA(9107, 4194301, F9, 15, 10) (dual of [(4194301, 15), 62914408, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |