Information on Result #980540
Linear OOA(8140, 10922, F8, 3, 32) (dual of [(10922, 3), 32626, 33]-NRT-code), using OOA 3-folding based on linear OA(8140, 32766, F8, 32) (dual of [32766, 32626, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8140, 32768, F8, 32) (dual of [32768, 32628, 33]-code), using
- 1 times truncation [i] based on linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using
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(8159, 10946, F8, 3, 32) (dual of [(10946, 3), 32679, 33]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8160, 10947, F8, 3, 32) (dual of [(10947, 3), 32681, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(8161, 10950, F8, 3, 32) (dual of [(10950, 3), 32689, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(8163, 10956, F8, 3, 32) (dual of [(10956, 3), 32705, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(8164, 10957, F8, 3, 32) (dual of [(10957, 3), 32707, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(8165, 10967, F8, 3, 32) (dual of [(10967, 3), 32736, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(8166, 10968, F8, 3, 32) (dual of [(10968, 3), 32738, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(8167, 10970, F8, 3, 32) (dual of [(10970, 3), 32743, 33]-NRT-code) | [i] | ||