Information on Result #1683919
Linear OOA(2183, 1689, F2, 7, 29) (dual of [(1689, 7), 11640, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2183, 1689, F2, 4, 29) (dual of [(1689, 4), 6573, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2183, 2048, F2, 4, 29) (dual of [(2048, 4), 8009, 30]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- OOA 4-folding [i] based on linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-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(2183, 844, F2, 35, 29) (dual of [(844, 35), 29357, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |