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]

Moby Thesaurus II by Grady Ward, 1.0:

101 Moby Thesaurus words for "misconstruction":
   aberrancy, aberration, abuse of terms, antiphrasis, barbarism,
   catachresis, coloring, confabulation, contorting, corruption,
   defectiveness, delusion, deviancy, distortion, eisegesis,
   equivocation, errancy, erroneousness, error, error in judgment,
   exaggeration, fallaciousness, fallacy, false coloring,
   false swearing, falseness, falsification, falsifying, falsity,
   fault, faultiness, flaw, flawedness, garbling, gloss, hamartia,
   heresy, heterodoxy, illusion, infelicity, injudiciousness,
   malapropism, malentendu, malobservation, misapplication,
   misappreciation, misapprehension, miscalculation, miscitation,
   miscoloring, miscomputation, misconception, misconjecture,
   misdirection, misdoing, misestimation, misevaluation,
   misexplanation, misexplication, misexposition, misfeasance,
   misintelligence, misinterpretation, misjudgment, misquotation,
   misreading, misrendering, misrepresentation, missaying,
   misstatement, mistranslation, misunderstanding, misusage, misuse,
   misuse of words, misvaluation, peccancy, perjury, perversion,
   poor judgment, prevarication, self-contradiction, sin, sinfulness,
   skewed judgment, slanting, solecism, squeezing, straining,
   torturing, twisting, ungrammaticism, unorthodoxy, untrueness,
   untruth, untruthfulness, wrenching, wrong, wrong construction,
   wrong impression, wrongness