A signature generation apparatus and {HEAD ~ a signature verification apparatus} of {TAIL ~ the present invention} have an operational effect of being capable of preventing the occurrence of norm zero vector forgery attack, and therefore the present invention is significantly useful 
of
A signature generation apparatus and { HEAD ~ a signature verification apparatus } of { TAIL ~ the present invention } have an operational effect of being capable of preventing the occurrence of norm zero vector forgery attack , and therefore the present invention is significantly useful
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