Information on Result #2219351
Linear OA(218, 20, F2, 12) (dual of [20, 2, 13]-code), using 1 times truncation based on linear OA(219, 21, F2, 13) (dual of [21, 2, 14]-code), using
- repeating each code word 7 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2222, 271, F2, 78) (dual of [271, 49, 79]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(218, 10, F2, 2, 12) (dual of [(10, 2), 2, 13]-NRT-code) | [i] | OOA Folding | |