Information on Result #2223549
Linear OA(2105, 2097151, F2, 10) (dual of [2097151, 2097046, 11]-code), using 1 times truncation based on linear OA(2106, 2097152, F2, 11) (dual of [2097152, 2097046, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(2105, 1048575, F2, 2, 10) (dual of [(1048575, 2), 2097045, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2105, 699050, F2, 3, 10) (dual of [(699050, 3), 2097045, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2105, 524287, F2, 4, 10) (dual of [(524287, 4), 2097043, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2105, 419430, F2, 5, 10) (dual of [(419430, 5), 2097045, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(2105, 419430, F2, 6, 10) (dual of [(419430, 6), 2516475, 11]-NRT-code) | [i] | OA Folding and Stacking | |
| 6 | Linear OOA(2105, 419430, F2, 7, 10) (dual of [(419430, 7), 2935905, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(2105, 419430, F2, 8, 10) (dual of [(419430, 8), 3355335, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(2105, 419430, F2, 10, 10) (dual of [(419430, 10), 4194195, 11]-NRT-code) | [i] | ||