Information on Result #2226794
Linear OA(2198, 4194303, F2, 18) (dual of [4194303, 4194105, 19]-code), using 1 times truncation based on linear OA(2199, 4194304, F2, 19) (dual of [4194304, 4194105, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2198, 2097151, F2, 2, 18) (dual of [(2097151, 2), 4194104, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2198, 1398101, F2, 3, 18) (dual of [(1398101, 3), 4194105, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2198, 1048575, F2, 4, 18) (dual of [(1048575, 4), 4194102, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2198, 838860, F2, 5, 18) (dual of [(838860, 5), 4194102, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(2198, 699050, F2, 6, 18) (dual of [(699050, 6), 4194102, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(2198, 599186, F2, 7, 18) (dual of [(599186, 7), 4194104, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(2198, 524287, F2, 8, 18) (dual of [(524287, 8), 4194098, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(2198, 466033, F2, 18, 18) (dual of [(466033, 18), 8388396, 19]-NRT-code) | [i] | OA Folding and Stacking | |