Information on Result #1702832
Linear OOA(2208, 2016, F2, 8, 32) (dual of [(2016, 8), 15920, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2208, 2016, F2, 4, 32) (dual of [(2016, 4), 7856, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2208, 2048, F2, 4, 32) (dual of [(2048, 4), 7984, 33]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2208, 8192, F2, 32) (dual of [8192, 7984, 33]-code), using
- 1 times truncation [i] based on linear OA(2209, 8193, F2, 33) (dual of [8193, 7984, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(2209, 8193, F2, 33) (dual of [8193, 7984, 34]-code), using
- OOA 4-folding [i] based on linear OA(2208, 8192, F2, 32) (dual of [8192, 7984, 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(2208, 1007, F2, 40, 32) (dual of [(1007, 40), 40072, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |