Information on Result #1590675
Linear OOA(2120, 1058, F2, 4, 20) (dual of [(1058, 4), 4112, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2120, 1058, F2, 3, 20) (dual of [(1058, 3), 3054, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2120, 1365, F2, 3, 20) (dual of [(1365, 3), 3975, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2120, 4095, F2, 20) (dual of [4095, 3975, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2120, 4096, F2, 20) (dual of [4096, 3976, 21]-code), using
- 1 times truncation [i] based on linear OA(2121, 4097, F2, 21) (dual of [4097, 3976, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2121, 4097, F2, 21) (dual of [4097, 3976, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2120, 4096, F2, 20) (dual of [4096, 3976, 21]-code), using
- OOA 3-folding [i] based on linear OA(2120, 4095, F2, 20) (dual of [4095, 3975, 21]-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(2120, 529, F2, 8, 20) (dual of [(529, 8), 4112, 21]-NRT-code) | [i] | OOA Folding | |