Information on Result #946562
Linear OOA(2133, 683, F2, 3, 25) (dual of [(683, 3), 1916, 26]-NRT-code), using OOA 3-folding based on linear OA(2133, 2049, F2, 25) (dual of [2049, 1916, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2133, 604, F2, 4, 25) (dual of [(604, 4), 2283, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2133, 604, F2, 5, 25) (dual of [(604, 5), 2887, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(2133, 604, F2, 6, 25) (dual of [(604, 6), 3491, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(2133, 604, F2, 7, 25) (dual of [(604, 7), 4095, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(2133, 604, F2, 8, 25) (dual of [(604, 8), 4699, 26]-NRT-code) | [i] | ||
| 6 | Digital (108, 133, 604)-net over F2 | [i] | ||