Information on Result #1600324
Linear OOA(2254, 852, F2, 4, 47) (dual of [(852, 4), 3154, 48]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2254, 852, F2, 2, 47) (dual of [(852, 2), 1450, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2254, 1024, F2, 2, 47) (dual of [(1024, 2), 1794, 48]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2254, 2048, F2, 47) (dual of [2048, 1794, 48]-code), using
- an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- OOA 2-folding [i] based on linear OA(2254, 2048, F2, 47) (dual of [2048, 1794, 48]-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(2254, 426, F2, 7, 47) (dual of [(426, 7), 2728, 48]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2254, 426, F2, 8, 47) (dual of [(426, 8), 3154, 48]-NRT-code) | [i] | ||