Information on Result #548606
There is no linear OA(3197, 207, F3, 132) (dual of [207, 10, 133]-code), because construction Y1 would yield
- linear OA(3196, 203, F3, 132) (dual of [203, 7, 133]-code), but
- residual code [i] would yield linear OA(364, 70, F3, 44) (dual of [70, 6, 45]-code), but
- 1 times truncation [i] would yield linear OA(363, 69, F3, 43) (dual of [69, 6, 44]-code), but
- residual code [i] would yield linear OA(364, 70, F3, 44) (dual of [70, 6, 45]-code), but
- OA(310, 207, 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
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.