Information on Result #1288000
Linear OA(225, 32, F2, 12) (dual of [32, 7, 13]-code), using construction Y1 based on
- linear OA(226, 38, F2, 12) (dual of [38, 12, 13]-code), using
- nonexistence of OA(212, 38, S2, 6), because
- discarding factors would yield OA(212, 30, S2, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 4526 > 212 [i]
- discarding factors would yield OA(212, 30, S2, 6), but
Mode: 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(2260, 288, F2, 108) (dual of [288, 28, 109]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |