Information on Result #2225721
Linear OA(2147, 2097151, F2, 14) (dual of [2097151, 2097004, 15]-code), using 1 times truncation based on linear OA(2148, 2097152, F2, 15) (dual of [2097152, 2097004, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2147, 1048575, F2, 2, 14) (dual of [(1048575, 2), 2097003, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2147, 699050, F2, 3, 14) (dual of [(699050, 3), 2097003, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2147, 524287, F2, 4, 14) (dual of [(524287, 4), 2097001, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2147, 419430, F2, 5, 14) (dual of [(419430, 5), 2097003, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2147, 349525, F2, 6, 14) (dual of [(349525, 6), 2097003, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(2147, 299593, F2, 7, 14) (dual of [(299593, 7), 2097004, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(2147, 299593, F2, 8, 14) (dual of [(299593, 8), 2396597, 15]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(2147, 299593, F2, 14, 14) (dual of [(299593, 14), 4194155, 15]-NRT-code) | [i] | ||