Information on Result #1095289
Linear OOA(2121, 209715, F2, 5, 13) (dual of [(209715, 5), 1048454, 14]-NRT-code), using OOA 5-folding based on linear OA(2121, 1048575, F2, 13) (dual of [1048575, 1048454, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 1048576, F2, 13) (dual of [1048576, 1048455, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(2121, 209715, F2, 6, 13) (dual of [(209715, 6), 1258169, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2121, 209715, F2, 7, 13) (dual of [(209715, 7), 1467884, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 209715, F2, 8, 13) (dual of [(209715, 8), 1677599, 14]-NRT-code) | [i] | ||
| 4 | Digital (108, 121, 209715)-net over F2 | [i] | ||