Information on Result #1320903
Linear OA(2221, 245, F2, 94) (dual of [245, 24, 95]-code), using construction Y1 based on
- linear OA(2222, 255, F2, 94) (dual of [255, 33, 95]-code), using
- 1 times truncation [i] based on linear OA(2223, 256, F2, 95) (dual of [256, 33, 96]-code), using
- a “Rod†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(2223, 256, F2, 95) (dual of [256, 33, 96]-code), using
- nonexistence of OA(233, 255, S2, 10), because
- discarding factors would yield OA(233, 254, S2, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 8640 218941 > 233 [i]
- discarding factors would yield OA(233, 254, S2, 10), 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(2222, 246, F2, 95) (dual of [246, 24, 96]-code) | [i] | Adding a Parity Check Bit |