Information on Result #2226384
Linear OA(2182, 8192, F2, 28) (dual of [8192, 8010, 29]-code), using 1 times truncation based on linear OA(2183, 8193, F2, 29) (dual of [8193, 8010, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2182, 4096, F2, 2, 28) (dual of [(4096, 2), 8010, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2182, 2730, F2, 3, 28) (dual of [(2730, 3), 8008, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(2182, 2048, F2, 4, 28) (dual of [(2048, 4), 8010, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2182, 1638, F2, 5, 28) (dual of [(1638, 5), 8008, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(2182, 1365, F2, 6, 28) (dual of [(1365, 6), 8008, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(2182, 1170, F2, 7, 28) (dual of [(1170, 7), 8008, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(2182, 1024, F2, 8, 28) (dual of [(1024, 8), 8010, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(2182, 585, F2, 28, 28) (dual of [(585, 28), 16198, 29]-NRT-code) | [i] | OA Folding and Stacking | |