Information on Result #547614
There is no linear OA(8173, 183, F8, 152) (dual of [183, 10, 153]-code), because residual code would yield linear OA(821, 30, F8, 19) (dual of [30, 9, 20]-code), but
- 3 times truncation [i] would yield linear OA(818, 27, F8, 16) (dual of [27, 9, 17]-code), but
- residual code [i] would yield OA(82, 10, S8, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 71 > 82 [i]
- residual code [i] would yield OA(82, 10, S8, 2), 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.