Information on Result #844163
Linear OOA(8129, 4194301, F8, 2, 19) (dual of [(4194301, 2), 8388473, 20]-NRT-code), using OOA 2-folding based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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(8131, 4194302, F8, 2, 19) (dual of [(4194302, 2), 8388473, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8133, 4194303, F8, 2, 19) (dual of [(4194303, 2), 8388473, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(8135, 4194304, F8, 2, 19) (dual of [(4194304, 2), 8388473, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(8137, 4194305, F8, 2, 19) (dual of [(4194305, 2), 8388473, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(8130, 4194301, F8, 2, 19) (dual of [(4194301, 2), 8388472, 20]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(8138, 4194310, F8, 2, 19) (dual of [(4194310, 2), 8388482, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8139, 4194315, F8, 2, 19) (dual of [(4194315, 2), 8388491, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(8140, 4194318, F8, 2, 19) (dual of [(4194318, 2), 8388496, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(8141, 4194325, F8, 2, 19) (dual of [(4194325, 2), 8388509, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(8142, 4194326, F8, 2, 19) (dual of [(4194326, 2), 8388510, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(8143, 4194329, F8, 2, 19) (dual of [(4194329, 2), 8388515, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(8144, 4194333, F8, 2, 19) (dual of [(4194333, 2), 8388522, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(8145, 4194337, F8, 2, 19) (dual of [(4194337, 2), 8388529, 20]-NRT-code) | [i] | ||
| 14 | OOA(8144, 4194334, S8, 2, 19) | [i] | ||
| 15 | OOA(8145, 4194339, S8, 2, 19) | [i] | ||