Information on Result #2251685
Linear OA(8112, 4096, F8, 32) (dual of [4096, 3984, 33]-code), using 1 times truncation based on linear OA(8113, 4097, F8, 33) (dual of [4097, 3984, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8112, 3759, F8, 2, 32) (dual of [(3759, 2), 7406, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8112, 3759, F8, 3, 32) (dual of [(3759, 3), 11165, 33]-NRT-code) | [i] | ||
| 3 | Digital (80, 112, 3759)-net over F8 | [i] | ||
| 4 | Linear OA(8115, 4153, F8, 32) (dual of [4153, 4038, 33]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(8116, 4310, F8, 32) (dual of [4310, 4194, 33]-code) | [i] | ||
| 6 | Linear OA(8117, 4568, F8, 32) (dual of [4568, 4451, 33]-code) | [i] | ||
| 7 | Linear OA(8118, 4876, F8, 32) (dual of [4876, 4758, 33]-code) | [i] | ||
| 8 | Linear OOA(8112, 2048, F8, 2, 32) (dual of [(2048, 2), 3984, 33]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8112, 1365, F8, 3, 32) (dual of [(1365, 3), 3983, 33]-NRT-code) | [i] | ||