Information on Result #1288025
Linear OA(2207, 239, F2, 84) (dual of [239, 32, 85]-code), using construction Y1 based on
- linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- nonexistence of OA(247, 255, S2, 16), because
- discarding factors would yield OA(247, 224, S2, 16), but
- the Rao or (dual) Hamming bound shows that M ≥ 143 811244 303501 > 247 [i]
- discarding factors would yield OA(247, 224, 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.