Information on Result #1700862
Linear OOA(2180, 1145, F2, 8, 30) (dual of [(1145, 8), 8980, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2180, 1145, F2, 3, 30) (dual of [(1145, 3), 3255, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2180, 1365, F2, 3, 30) (dual of [(1365, 3), 3915, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2180, 4095, F2, 30) (dual of [4095, 3915, 31]-code), using
- 1 times truncation [i] based on linear OA(2181, 4096, F2, 31) (dual of [4096, 3915, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 1 times truncation [i] based on linear OA(2181, 4096, F2, 31) (dual of [4096, 3915, 32]-code), using
- OOA 3-folding [i] based on linear OA(2180, 4095, F2, 30) (dual of [4095, 3915, 31]-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(2180, 572, F2, 40, 30) (dual of [(572, 40), 22700, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |