Information on Result #610017
Linear OA(225, 27, F2, 17) (dual of [27, 2, 18]-code), using repeating each code word 9 times 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(225, 27, F2, 16) (dual of [27, 2, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(224, 26, F2, 16) (dual of [26, 2, 17]-code) | [i] | Truncation | |
| 3 | Linear OA(223, 25, F2, 15) (dual of [25, 2, 16]-code) | [i] | ||
| 4 | Linear OA(221, 23, F2, 13) (dual of [23, 2, 14]-code) | [i] | ||
| 5 | Linear OA(220, 22, F2, 12) (dual of [22, 2, 13]-code) | [i] | ||
| 6 | Linear OA(2238, 287, F2, 86) (dual of [287, 49, 87]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OOA(225, 9, F2, 3, 17) (dual of [(9, 3), 2, 18]-NRT-code) | [i] | OOA Folding | |