Information on Result #947019
Linear OOA(2155, 683, F2, 3, 29) (dual of [(683, 3), 1894, 30]-NRT-code), using OOA 3-folding based on linear OA(2155, 2049, F2, 29) (dual of [2049, 1894, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2155, 653, F2, 4, 29) (dual of [(653, 4), 2457, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2155, 653, F2, 5, 29) (dual of [(653, 5), 3110, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(2155, 653, F2, 6, 29) (dual of [(653, 6), 3763, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2155, 653, F2, 7, 29) (dual of [(653, 7), 4416, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2155, 653, F2, 8, 29) (dual of [(653, 8), 5069, 30]-NRT-code) | [i] | ||
| 6 | Digital (126, 155, 653)-net over F2 | [i] | ||