Information on Result #572328
There is no linear OOA(3246, 239, F3, 3, 170) (dual of [(239, 3), 471, 171]-NRT-code), because 1 times depth reduction would yield linear OOA(3246, 239, F3, 2, 170) (dual of [(239, 2), 232, 171]-NRT-code), but
- 17 step m-reduction [i] would yield linear OA(3229, 239, F3, 153) (dual of [239, 10, 154]-code), but
- construction Y1 [i] would yield
- linear OA(3228, 235, F3, 153) (dual of [235, 7, 154]-code), but
- residual code [i] would yield linear OA(375, 81, F3, 51) (dual of [81, 6, 52]-code), but
- OA(310, 239, S3, 4), but
- discarding factors would yield OA(310, 172, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 59169 > 310 [i]
- discarding factors would yield OA(310, 172, S3, 4), but
- linear OA(3228, 235, F3, 153) (dual of [235, 7, 154]-code), but
- construction Y1 [i] would yield
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.