Information on Result #2164400
There is no linear OA(4178, 253, F4, 131) (dual of [253, 75, 132]-code), because 3 times truncation would yield linear OA(4175, 250, F4, 128) (dual of [250, 75, 129]-code), but
- residual code [i] would yield OA(447, 121, S4, 32), but
- the linear programming bound shows that M ≥ 365 129709 190376 390301 373618 637040 010384 793045 585047 102752 276086 784000 / 18163 087858 506659 594163 938688 475283 050507 > 447 [i]
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.