Information on Result #1631041
Linear OOA(2105, 524287, F2, 5, 10) (dual of [(524287, 5), 2621330, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2105, 524287, F2, 4, 10) (dual of [(524287, 4), 2097043, 11]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2105, 2097148, F2, 10) (dual of [2097148, 2097043, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2105, 2097151, F2, 10) (dual of [2097151, 2097046, 11]-code), using
- 1 times truncation [i] 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]
- 1 times truncation [i] based on linear OA(2106, 2097152, F2, 11) (dual of [2097152, 2097046, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2105, 2097151, F2, 10) (dual of [2097151, 2097046, 11]-code), using
Mode: 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, 524286, F2, 6, 10) (dual of [(524286, 6), 3145611, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2105, 524286, F2, 7, 10) (dual of [(524286, 7), 3669897, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2105, 524286, F2, 8, 10) (dual of [(524286, 8), 4194183, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(2105, 524286, F2, 15, 10) (dual of [(524286, 15), 7864185, 11]-NRT-code) | [i] | ||