Information on Result #2224120
Linear OA(2120, 32768, F2, 16) (dual of [32768, 32648, 17]-code), using 1 times truncation based on linear OA(2121, 32769, F2, 17) (dual of [32769, 32648, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2120, 16384, F2, 2, 16) (dual of [(16384, 2), 32648, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2120, 10922, F2, 3, 16) (dual of [(10922, 3), 32646, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(2120, 8192, F2, 4, 16) (dual of [(8192, 4), 32648, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2120, 6553, F2, 5, 16) (dual of [(6553, 5), 32645, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2120, 5461, F2, 6, 16) (dual of [(5461, 6), 32646, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(2120, 4681, F2, 7, 16) (dual of [(4681, 7), 32647, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(2120, 4096, F2, 8, 16) (dual of [(4096, 8), 32648, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(2120, 4096, F2, 16, 16) (dual of [(4096, 16), 65416, 17]-NRT-code) | [i] | OA Folding and Stacking | |