Information on Result #1288012
Linear OA(262, 99, F2, 20) (dual of [99, 37, 21]-code), using construction Y1 based on
- linear OA(263, 127, F2, 20) (dual of [127, 64, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- nonexistence of OA(264, 127, S2, 28), because
- discarding factors would yield OA(264, 126, S2, 28), but
- the linear programming bound shows that M ≥ 3 297304 656555 051141 787530 040965 466881 478495 165747 327831 900160 / 174718 281691 644687 209907 218984 483680 302829 > 264 [i]
- discarding factors would yield OA(264, 126, S2, 28), 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.