Information on Result #2226515
Linear OA(2176, 4194304, F2, 16) (dual of [4194304, 4194128, 17]-code), using 1 times truncation based on linear OA(2177, 4194305, F2, 17) (dual of [4194305, 4194128, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, 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(2176, 2097152, F2, 2, 16) (dual of [(2097152, 2), 4194128, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2176, 1398101, F2, 3, 16) (dual of [(1398101, 3), 4194127, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(2176, 1048576, F2, 4, 16) (dual of [(1048576, 4), 4194128, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2176, 838860, F2, 5, 16) (dual of [(838860, 5), 4194124, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2176, 699050, F2, 6, 16) (dual of [(699050, 6), 4194124, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(2176, 599186, F2, 7, 16) (dual of [(599186, 7), 4194126, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(2176, 524288, F2, 8, 16) (dual of [(524288, 8), 4194128, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(2176, 524288, F2, 16, 16) (dual of [(524288, 16), 8388432, 17]-NRT-code) | [i] | OA Folding and Stacking | |