Information on Result #621676
Linear OA(226, 37, F2, 12) (dual of [37, 11, 13]-code), using construction X applied to D2 ⊂ D1 based on
- linear OA(225, 31, F2, 12) (dual of [31, 6, 13]-code), using augmented code D2 for u = 5 by de Boer and Brouwer [i]
- linear OA(220, 31, F2, 10) (dual of [31, 11, 11]-code), using augmented code D1 for u = 5 by de Boer and Brouwer [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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, 231, F2, 108) (dual of [231, 9, 109]-code) | [i] | Juxtaposition | |