Information on Result #1288026
Linear OA(2209, 239, F2, 86) (dual of [239, 30, 87]-code), using construction Y1 based on
- linear OA(2210, 255, F2, 86) (dual of [255, 45, 87]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- nonexistence of OA(245, 255, S2, 16), because
- discarding factors would yield OA(245, 189, S2, 16), but
- the Rao or (dual) Hamming bound shows that M ≥ 36 338770 420561 > 245 [i]
- discarding factors would yield OA(245, 189, S2, 16), 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
None.