Information on Result #945343
Linear OOA(267, 683, F2, 3, 13) (dual of [(683, 3), 1982, 14]-NRT-code), using OOA 3-folding based on linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
Mode: Constructive and 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(267, 561, F2, 4, 13) (dual of [(561, 4), 2177, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(267, 561, F2, 5, 13) (dual of [(561, 5), 2738, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(267, 561, F2, 6, 13) (dual of [(561, 6), 3299, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(267, 561, F2, 7, 13) (dual of [(561, 7), 3860, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(267, 561, F2, 8, 13) (dual of [(561, 8), 4421, 14]-NRT-code) | [i] | ||
| 6 | Digital (54, 67, 561)-net over F2 | [i] | ||