Information on Result #2227080
Linear OA(2256, 65536, F2, 32) (dual of [65536, 65280, 33]-code), using 1 times truncation based on linear OA(2257, 65537, F2, 33) (dual of [65537, 65280, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, 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(2256, 32768, F2, 2, 32) (dual of [(32768, 2), 65280, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2256, 21845, F2, 3, 32) (dual of [(21845, 3), 65279, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 16384, F2, 4, 32) (dual of [(16384, 4), 65280, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 13107, F2, 5, 32) (dual of [(13107, 5), 65279, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 10922, F2, 6, 32) (dual of [(10922, 6), 65276, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(2256, 9362, F2, 7, 32) (dual of [(9362, 7), 65278, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(2256, 8192, F2, 8, 32) (dual of [(8192, 8), 65280, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(2256, 4096, F2, 32, 32) (dual of [(4096, 32), 130816, 33]-NRT-code) | [i] | OA Folding and Stacking | |