Information on Result #2182659
Linear OA(2187, 189, F2, 124) (dual of [189, 2, 125]-code), using strength reduction based on linear OA(2187, 189, F2, 125) (dual of [189, 2, 126]-code), using
- repeating each code word 63 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 OOA(2187, 63, F2, 3, 124) (dual of [(63, 3), 2, 125]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2187, 27, F2, 7, 124) (dual of [(27, 7), 2, 125]-NRT-code) | [i] | ||