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Anonymous Statistical Survey of Attributes

This system allows for an anonymous statistical survey of user attributes, providing accurate and secure results without revealing extra information. Users can trust the system to prevent cheating.

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Anonymous Statistical Survey of Attributes

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  1. Anonymous Statistical Surveyof Attributes Toru Nakanishi and Yuji Sugiyama Okayama Univ., Japan

  2. Man or Woman ? Anonymously Young or Old? . . . Marketing Background User(Customer) Distributor(Seller)

  3. Some distributors want attributes for each user. Woman, 30, engineer Man, 15, Student Man, 48, Dealer Offering many attributes… Background(Cont’d) Maybe useful for identifying the user.

  4. Some distributors want only statistical results of attributes for all users. Male Female 10% 90% Statistical results Background(Cont’d) Survey system to generate only the statistical results is in demand.

  5. Anonymous statistical survey system of attributes Requirements in the survey system • Anonymity of users • No extra information beyond statistical results • Correctness of results

  6. Male Encrypt Trusted not to leak Male Female 10% 90% TTP in charge of gender No extra information No cheating Correctness Related Work • Sako proposed a protocol to generate statistical results of attributes

  7. Female Male 10% 90% Problem in simple application But, … • Sako’s protocol may be simply applied to anonymous statistical survey. Are users honest ? Is single TTP really trusted ?

  8. Assurance Female Attribute Authority Male Female 90% 10% No extra information Trustees Our anonymous statistical survey system of attributes • Users cannot cheat. • Each TTP doesn’t have extra information. trusted Quorum is trusted

  9. Group Made by a group member But, who ? signature Traceable by only TTP Tool 1: Camenisch-Stadler’s group signature • What’s a group signature ?

  10. z, ID z z Cert. Cert. Membership Authority z Proof( ) Tool 1: Camenisch-Stadler’s group signature (Cont’d) • Registration Signing

  11. Trustees Not quorum Quorum Tool 2: Threshold Cryptosystem • Only quorum of a group can decrypt a ciphertext. ???

  12. Trustees Randomized and randomly permuted Link is unknown unless quorum is corrupted No cheating Tool 3: Shuffle

  13. Attribute Authority Registration Trustees Generating Offering Distributor User Model

  14. z, ID z Cert. Attribute Authority User z’s of males z’s of females z , z , …. z , z , …. 1 4 2 3 Our survey system - Registration • Registration in group signature is executed. • z’s are published in lists of respective attributes. Registration in group signature is executed. Female

  15. z Cert. z Proof( ) z linked to correct attribute is committed Anonymous No users’ cheating Our survey system - Offering The group signature is offered.

  16. Male Female Male Trustees Linked Afterward Link between ciphertext (offering) and attribute is unknown for even each trustee. Our survey system - Generating Sent ciphertexts are shuffled.

  17. Randomly permuted in each list Females Males Males Females r r z , z , …. z , z , …. z , z , …. z , z , …. 2 ? ? 1 ? ? 4 3 r ( ) r r Our survey system – Generating (Cont’d) • For each shuffled ciphertext, it’s linked to attribute, with no extra information of z. • Public z’s are shuffled by the same random r, while the ciphertext is randomized by r.

  18. r ( ) Search = No extra information of z’s for even each trustee Females Males r r Female z , z , …. z , z , …. ? ? ? ? r r z z r r Our survey system – Generating (Cont’d) Count revealed attributes, and calculate statistic. • Decrypt the ciphertext, and search in lists of z’s.

  19. Anonymity of group signature Shuffles, threshold cryptosystem Proving certificate No cheating in shuffles and decryption Security Correctness • Anonymity Anonymity in offering: No extra information in generating: Correctness of offering: Correctness of generating:

  20. Conclusion • An anonymous statistical survey system of attributes is proposed. • No extra information for each trustee • No cheating

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