Information on Result #572103
There is no linear OOA(3240, 203, F3, 3, 176) (dual of [(203, 3), 369, 177]-NRT-code), because 1 times depth reduction would yield linear OOA(3240, 203, F3, 2, 176) (dual of [(203, 2), 166, 177]-NRT-code), but
- 47 step m-reduction [i] would yield linear OA(3193, 203, F3, 129) (dual of [203, 10, 130]-code), but
- construction Y1 [i] would yield
- linear OA(3192, 199, F3, 129) (dual of [199, 7, 130]-code), but
- residual code [i] would yield linear OA(363, 69, F3, 43) (dual of [69, 6, 44]-code), but
- OA(310, 203, 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(3192, 199, F3, 129) (dual of [199, 7, 130]-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.