Information on Result #1518643
Linear OOA(2243, 822, F2, 3, 45) (dual of [(822, 3), 2223, 46]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2243, 822, F2, 2, 45) (dual of [(822, 2), 1401, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2243, 1024, F2, 2, 45) (dual of [(1024, 2), 1805, 46]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2243, 2048, F2, 45) (dual of [2048, 1805, 46]-code), using
- an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- OOA 2-folding [i] based on linear OA(2243, 2048, F2, 45) (dual of [2048, 1805, 46]-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(2243, 411, F2, 5, 45) (dual of [(411, 5), 1812, 46]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2243, 411, F2, 6, 45) (dual of [(411, 6), 2223, 46]-NRT-code) | [i] | ||