The Collaborative International Dictionary of English v.0.48:

Misconstruction \Mis`con*struc"tion\, n.
   Erroneous construction; wrong interpretation. --Bp.
   Stillingfleet.
   [1913 Webster]

WordNet (r) 3.0 (2006):

misconstruction
    n 1: a kind of misinterpretation resulting from putting a wrong
         construction on words or actions (often deliberately) [syn:
         misconstrual, misconstruction]
    2: an ungrammatical constituent [ant: construction,
       expression, grammatical construction]