Information on Result #2227090
Linear OA(2252, 2097152, F2, 24) (dual of [2097152, 2096900, 25]-code), using 1 times truncation based on linear OA(2253, 2097153, F2, 25) (dual of [2097153, 2096900, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2252, 1048576, F2, 2, 24) (dual of [(1048576, 2), 2096900, 25]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(2252, 699050, F2, 3, 24) (dual of [(699050, 3), 2096898, 25]-NRT-code) | [i] | ||
3 | Linear OOA(2252, 524288, F2, 4, 24) (dual of [(524288, 4), 2096900, 25]-NRT-code) | [i] | ||
4 | Linear OOA(2252, 419430, F2, 5, 24) (dual of [(419430, 5), 2096898, 25]-NRT-code) | [i] | ||
5 | Linear OOA(2252, 349525, F2, 6, 24) (dual of [(349525, 6), 2096898, 25]-NRT-code) | [i] | ||
6 | Linear OOA(2252, 299593, F2, 7, 24) (dual of [(299593, 7), 2096899, 25]-NRT-code) | [i] | ||
7 | Linear OOA(2252, 262144, F2, 8, 24) (dual of [(262144, 8), 2096900, 25]-NRT-code) | [i] | ||
8 | Linear OOA(2252, 174762, F2, 24, 24) (dual of [(174762, 24), 4194036, 25]-NRT-code) | [i] | OA Folding and Stacking |