Information on Result #2224370
Linear OA(2120, 1048576, F2, 12) (dual of [1048576, 1048456, 13]-code), using 1 times truncation based on linear OA(2121, 1048577, F2, 13) (dual of [1048577, 1048456, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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, 524288, F2, 2, 12) (dual of [(524288, 2), 1048456, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2120, 349525, F2, 3, 12) (dual of [(349525, 3), 1048455, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2120, 262144, F2, 4, 12) (dual of [(262144, 4), 1048456, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2120, 209715, F2, 5, 12) (dual of [(209715, 5), 1048455, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(2120, 174762, F2, 6, 12) (dual of [(174762, 6), 1048452, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(2120, 174762, F2, 7, 12) (dual of [(174762, 7), 1223214, 13]-NRT-code) | [i] | OA Folding and Stacking | |
| 7 | Linear OOA(2120, 174762, F2, 8, 12) (dual of [(174762, 8), 1397976, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(2120, 174762, F2, 12, 12) (dual of [(174762, 12), 2097024, 13]-NRT-code) | [i] | ||