Information on Result #1288032
Linear OA(2233, 249, F2, 110) (dual of [249, 16, 111]-code), using construction Y1 based on
- linear OA(2234, 255, F2, 110) (dual of [255, 21, 111]-code), using
- 1 times truncation [i] based on linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using
- an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- 1 times truncation [i] based on linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using
- nonexistence of OA(221, 255, S2, 6), because
- discarding factors would yield OA(221, 233, S2, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 2 108418 > 221 [i]
- discarding factors would yield OA(221, 233, 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(2234, 250, F2, 111) (dual of [250, 16, 112]-code) | [i] | Adding a Parity Check Bit | |