Information on Result #2220234
Linear OA(252, 8192, F2, 8) (dual of [8192, 8140, 9]-code), using 1 times truncation based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(252, 4096, F2, 2, 8) (dual of [(4096, 2), 8140, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(252, 2730, F2, 3, 8) (dual of [(2730, 3), 8138, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(252, 2048, F2, 4, 8) (dual of [(2048, 4), 8140, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(252, 2048, F2, 5, 8) (dual of [(2048, 5), 10188, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 5 | Linear OOA(252, 2048, F2, 6, 8) (dual of [(2048, 6), 12236, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(252, 2048, F2, 7, 8) (dual of [(2048, 7), 14284, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(252, 2048, F2, 8, 8) (dual of [(2048, 8), 16332, 9]-NRT-code) | [i] | ||