I want to know if we have a suffix which can be added to an adverb to form a noun. I have searched about that and I could not find anything about it.
I would say No, there is no suffix which can be added to an adverb to form a noun.
There is the noun-forming suffix -ness which can be added to many adjectives: hard/hardness, red/redness, etc, but it doesn't apply to all (strongness is strength) and it doesn't apply to adverbs.
Even where fast might be an adverb meaning quickly (as opposed to an adjective meaning solidly attached) the noun would be speed. For an adverb like beautifully, the noun is beauty. For an adverb like quickly, you might get away with quickness, (where you replace -ly with the nouning suffix -ness), but generally there is a more specific non-derived word to use, like speed or rapidity.
The suffix '-ness' is defined in the OED as forming abstract nouns from adverbs:
Forming abstract nouns from adjectives, participles, adjectival phrases, and (more rarely) nouns, pronouns, verbs, and adverbs.
["-ness, suffix". OED Online. September 2015. Oxford University Press. http://www.oed.com/view/Entry/126245?rskey=ibqMh4&result=4&isAdvanced=false (accessed November 06, 2015). Emphasis mine.]
The OED lexicographers do not example the particular case of nouns formed from adverbs in the historical quotes, but rather content themselves there by showing some of the nonce-uses attested since 1800. Such uses presumably include adverb-to-noun formations, because the suffix is used freely to form nouns; however, in all cases where an adverb has a corresponding adjectival form or sense, the adjective seems to be selected by preference as the noun-formative base.
Also, although perhaps it is a slantwise formation process, I found some evidence indicating that nouns are formed from the adverbs in verbal phrases (that is, verb+adverb):
Noun suffixes will form nouns from every type of word.
-er = object, agency or means performing the task of: fixer-upper, do-gooder; added to: verbal phrases (verb+adverb) ....
(From "Word formation process".)