Information on Result #595767
There is no linear OOA(2216, 353, F2, 7, 94) (dual of [(353, 7), 2255, 95]-NRT-code), because 6 times depth reduction would yield linear OA(2216, 353, F2, 94) (dual of [353, 137, 95]-code), but
- construction Y1 [i] would yield
- OA(2215, 299, S2, 94), but
- adding a parity check bit [i] would yield OA(2216, 300, S2, 95), but
- the linear programming bound shows that M ≥ 872407 680551 113098 866799 953294 886066 311827 924058 628412 428016 149220 115296 187426 023936 653562 740736 / 5 938078 052347 021578 779474 608305 > 2216 [i]
- adding a parity check bit [i] would yield OA(2216, 300, S2, 95), but
- linear OA(2137, 353, F2, 54) (dual of [353, 216, 55]-code), but
- discarding factors / shortening the dual code would yield linear OA(2137, 349, F2, 54) (dual of [349, 212, 55]-code), but
- the improved Johnson bound shows that N ≤ 38183 360155 231925 981960 410163 248656 002020 375812 982277 632854 212429 < 2212 [i]
- discarding factors / shortening the dual code would yield linear OA(2137, 349, F2, 54) (dual of [349, 212, 55]-code), but
- OA(2215, 299, S2, 94), but
Mode: Bound (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.
Other Results with Identical Parameters
None.
Depending Results
None.