Information on Result #851312
Linear OOA(9129, 4194301, F9, 2, 19) (dual of [(4194301, 2), 8388473, 20]-NRT-code), using OOA 2-folding based on linear OA(9129, 8388602, F9, 19) (dual of [8388602, 8388473, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9129, large, F9, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
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(9129, 4194301, F9, 2, 18) (dual of [(4194301, 2), 8388473, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9131, 4194302, F9, 2, 19) (dual of [(4194302, 2), 8388473, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(9133, 4194303, F9, 2, 19) (dual of [(4194303, 2), 8388473, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(9135, 4194304, F9, 2, 19) (dual of [(4194304, 2), 8388473, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(9137, 4194305, F9, 2, 19) (dual of [(4194305, 2), 8388473, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(9130, 4194301, F9, 2, 19) (dual of [(4194301, 2), 8388472, 20]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(9138, 4194311, F9, 2, 19) (dual of [(4194311, 2), 8388484, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(9139, 4194317, F9, 2, 19) (dual of [(4194317, 2), 8388495, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(9140, 4194321, F9, 2, 19) (dual of [(4194321, 2), 8388502, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(9141, 4194329, F9, 2, 19) (dual of [(4194329, 2), 8388517, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(9142, 4194331, F9, 2, 19) (dual of [(4194331, 2), 8388520, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(9143, 4194333, F9, 2, 19) (dual of [(4194333, 2), 8388523, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(9144, 4194335, F9, 2, 19) (dual of [(4194335, 2), 8388526, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(9145, 4194341, F9, 2, 19) (dual of [(4194341, 2), 8388537, 20]-NRT-code) | [i] | ||
| 15 | OOA(9144, 4194339, S9, 2, 19) | [i] | ||