Information on Result #2172190
There is no linear OA(1633, 67, F16, 31) (dual of [67, 34, 32]-code), because 1 times truncation would yield linear OA(1632, 66, F16, 30) (dual of [66, 34, 31]-code), but
- construction Y1 [i] would yield
- linear OA(1631, 34, F16, 30) (dual of [34, 3, 31]-code), but
- linear OA(1634, 66, F16, 32) (dual of [66, 32, 33]-code), but
- discarding factors / shortening the dual code would yield linear OA(1634, 51, F16, 32) (dual of [51, 17, 33]-code), but
- residual code [i] would yield OA(162, 18, S16, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 271 > 162 [i]
- residual code [i] would yield OA(162, 18, S16, 2), but
- discarding factors / shortening the dual code would yield linear OA(1634, 51, F16, 32) (dual of [51, 17, 33]-code), 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.