Information on Result #2169208
There is no linear OA(733, 38, F7, 29) (dual of [38, 5, 30]-code), because 1 times truncation would yield linear OA(732, 37, F7, 28) (dual of [37, 5, 29]-code), but
- construction Y1 [i] would yield
- OA(731, 33, S7, 28), but
- the (dual) Plotkin bound shows that M ≥ 5522 138371 219603 231526 496005 / 29 > 731 [i]
- OA(75, 37, S7, 4), but
- discarding factors would yield OA(75, 31, S7, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 16927 > 75 [i]
- discarding factors would yield OA(75, 31, S7, 4), but
- OA(731, 33, S7, 28), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.