In this particular case you could use dichotomy or division, since you are distinguishing between only two possibilities. (It's not actually that simple in real life, but this is English.SE not Biology.SE).
The best general antonym I can think of is (discrete) set, but you would almost never use it in the same way. You would usually use some more specific term for whatever you were talking about, which would be in turn definable as a set.
This is rather simple matter actually. If anything it must be the corresponding root word with the same suffix applied, which is wrongous:
- Wrongful; unjust; improper.
- In Scots law, not right; unjust; illegal: as, wrongous imprisonment.1
Although dictionary attested and morphologically valid, we would be more likely to use wrongful instead:
Wrongful Full of wrong; injurious; unjust; unfair; as, a wrongful taking of property; wrongful dealing. 1
Between these synonyms, Google Ngrams3 indicates that Wrongful has been generally more popular thoroughout history, although Wrongful was not too overwhelmingly more preferred until it gained widespread popularity around 1813 when it begun to be much more popular.
We can verify the synonymy of the -ous and -ful suffixes by checking their definitions:
-ous A suffix of Latin origin, forming, from nouns, adjectives denoting fullness or abundance, or sometimes merely the presence, of the thing or quality expressed by the noun, as in callous, famous, generous, odious, religious, sumptuous, vicious, etc. (see etymology).2
-ful
1. Used to form adjectives from nouns. An adjective derived by this suffix implies a thorough and certain possession of the quality of that noun, not a metaphorical fullness with it by degree or quantity. One who is wakeful is fully awake, not frequently waking; what is changeful is uncertain, not transformed; what is harmful may do a single and a mild injury.
2. Used to form nouns from nouns meaning “as much as can be held by what is denoted by the noun” 4
Both the -ous suffix and the -ful suffix simply indicate fullness in one way or another, with the -ful suffix simply being taken from Middle English instead of Latin, so since it is more popular I suggest using wrongful over wrongous in prose. However if prosody is a concern, then wrongous is a closer match.
One final note is that I wouldn't use either suffix to directly denote state. While fullness implies a sort of state, that is the job of the -ness and -ity suffixes:
-ness A suffix used to form abstract nouns expressive of quality or state; as, goodness, greatness. 1
-ity suffix Used to form a noun from an adjective; especially, to form the noun referring to the state, property, or quality of conforming to the adjective's description. Suffix Used to form other nouns, especially abstract nouns. 4
Thus you may also want to consider wrongness or wrongfulness depending on what you are trying to describe:
Wrongness The quality or state of being wrong; wrongfulness; error; fault. 1
Wrongfulness The quality of being wrong or wrongful; injustice. 1
References & Alternative Verification Links:
1 These definitions were taken from the 1913 Webster's Revised Unabridged Dictionary
2 This partial definition was taken from the Century Dictionary and Cyclopedia
3 Archives.is has a copy of the Google nGrams for Wrongous, Wrongful, Wrongfulness and Wrongness
4 These definitions were taken from Wikitionary and are licensed under the CC-BY-SA 3.0 license.
Collins English Dictionary — Complete and Unabridged 12th Edition, and Merriam-Webster's Third New International Dictionary also contain entries for Wrongous, albeit not many other recent dictionaries do.
Best Answer
Dispatch may be suitable for you.
"To send with purpose".