Information on Result #2225007
Linear OA(2132, 4194304, F2, 12) (dual of [4194304, 4194172, 13]-code), using 1 times truncation based on linear OA(2133, 4194305, F2, 13) (dual of [4194305, 4194172, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 244−1, 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(2132, 2097152, F2, 2, 12) (dual of [(2097152, 2), 4194172, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2132, 1398101, F2, 3, 12) (dual of [(1398101, 3), 4194171, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2132, 1048576, F2, 4, 12) (dual of [(1048576, 4), 4194172, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2132, 838860, F2, 5, 12) (dual of [(838860, 5), 4194168, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(2132, 699050, F2, 6, 12) (dual of [(699050, 6), 4194168, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(2132, 699050, F2, 7, 12) (dual of [(699050, 7), 4893218, 13]-NRT-code) | [i] | OA Folding and Stacking | |
| 7 | Linear OOA(2132, 699050, F2, 8, 12) (dual of [(699050, 8), 5592268, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(2132, 699050, F2, 12, 12) (dual of [(699050, 12), 8388468, 13]-NRT-code) | [i] | ||