ignominy (n.)

1530s, back-formation from ignominious or else from French ignominie (15c.), from Latin ignominia "disgrace, infamy, loss of a (good) name," from assimilated form of in- "not, opposite of" (see in- (1)) + nomen (genitive nominis) "name" (from PIE root *no-men- "name"). Also sometimes shortened to ignomy.