Information on Result #1701670
Linear OOA(2192, 1176, F2, 8, 32) (dual of [(1176, 8), 9216, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2192, 1176, F2, 3, 32) (dual of [(1176, 3), 3336, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2192, 1365, F2, 3, 32) (dual of [(1365, 3), 3903, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2192, 4095, F2, 32) (dual of [4095, 3903, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2192, 4096, F2, 32) (dual of [4096, 3904, 33]-code), using
- 1 times truncation [i] based on linear OA(2193, 4097, F2, 33) (dual of [4097, 3904, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2193, 4097, F2, 33) (dual of [4097, 3904, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2192, 4096, F2, 32) (dual of [4096, 3904, 33]-code), using
- OOA 3-folding [i] based on linear OA(2192, 4095, F2, 32) (dual of [4095, 3903, 33]-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(2192, 587, F2, 40, 32) (dual of [(587, 40), 23288, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |