From The Collaborative International Dictionary of English v.0.48 :
Illegitimacy \Il`le*git"i*ma*cy\, n. The state of being illegitimate. --Blackstone. [1913 Webster]From WordNet (r) 3.0 (2006) :
illegitimacy n 1: the status of being born to parents who were not married [syn: bastardy, illegitimacy, bar sinister] 2: unlawfulness by virtue of not being authorized by or in accordance with law [ant: legitimacy]