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WO2019079353A8 - Methods and systems for enhanced data-centric homomorphic encryption searching using geometric algebra - Google Patents

Methods and systems for enhanced data-centric homomorphic encryption searching using geometric algebra Download PDF

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Publication number
WO2019079353A8
WO2019079353A8 PCT/US2018/056154 US2018056154W WO2019079353A8 WO 2019079353 A8 WO2019079353 A8 WO 2019079353A8 US 2018056154 W US2018056154 W US 2018056154W WO 2019079353 A8 WO2019079353 A8 WO 2019079353A8
Authority
WO
WIPO (PCT)
Prior art keywords
systems
found
geometric
data
methods
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Ceased
Application number
PCT/US2018/056154
Other languages
French (fr)
Other versions
WO2019079353A2 (en
WO2019079353A3 (en
Inventor
Carlos A. Paz De Araujo
David W. HONORIO ARAUJO DA SILVA
Gregory B. Jones
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
X Logos LLC
Original Assignee
X Logos LLC
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by X Logos LLC filed Critical X Logos LLC
Publication of WO2019079353A2 publication Critical patent/WO2019079353A2/en
Publication of WO2019079353A8 publication Critical patent/WO2019079353A8/en
Publication of WO2019079353A3 publication Critical patent/WO2019079353A3/en
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/008—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols involving homomorphic encryption

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Information Retrieval, Db Structures And Fs Structures Therefor (AREA)
  • Storage Device Security (AREA)
  • Complex Calculations (AREA)

Abstract

Disclosed are methods/systems for encrypting messages 710 using Geometric Algebra on at least one source device 702 and, storing and searching the encrypted messages 710 on intermediary systems 706 without decrypting the encrypted messages 710 on the intermediary systems 706 and/or on search request devices requesting 714 the search. Both intermediary 706 and search request 714 devices/systems do not need to have knowledge of the encryption security keys. A search result (FOUND/NOT-FOUND) 712 may be sent to a destination device 708. The FOUND encrypted data, plus other encrypted data linked to the FOUND data, may be sent to a destination device and decrypted. Encrypt operations use the geometric product (Clifford Product) of multivectors created from plain text/data with one or more other multivectors that carry encryption keys. Decrypt operations decrypt encrypted data by employing geometric algebra operations such as multivector inverse, Clifford conjugate and others along with the geometric product.
PCT/US2018/056154 2017-10-16 2018-10-16 Methods and systems for enhanced data-centric homomorphic encryption searching using geometric algebra Ceased WO2019079353A2 (en)

Applications Claiming Priority (8)

Application Number Priority Date Filing Date Title
US201762572955P 2017-10-16 2017-10-16
US201762572970P 2017-10-16 2017-10-16
US62/572,970 2017-10-16
US62/572,955 2017-10-16
US201862713234P 2018-08-01 2018-08-01
US62/713,234 2018-08-01
US201862719488P 2018-08-17 2018-08-17
US62/719,488 2018-08-17

Publications (3)

Publication Number Publication Date
WO2019079353A2 WO2019079353A2 (en) 2019-04-25
WO2019079353A8 true WO2019079353A8 (en) 2019-11-28
WO2019079353A3 WO2019079353A3 (en) 2020-03-26

Family

ID=66173843

Family Applications (2)

Application Number Title Priority Date Filing Date
PCT/US2018/056154 Ceased WO2019079353A2 (en) 2017-10-16 2018-10-16 Methods and systems for enhanced data-centric homomorphic encryption searching using geometric algebra
PCT/US2018/056156 Ceased WO2019079355A1 (en) 2017-10-16 2018-10-16 Methods and systems for enhanced data-centric homomorphic encryption sorting using geometric algebra

Family Applications After (1)

Application Number Title Priority Date Filing Date
PCT/US2018/056156 Ceased WO2019079355A1 (en) 2017-10-16 2018-10-16 Methods and systems for enhanced data-centric homomorphic encryption sorting using geometric algebra

Country Status (1)

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WO (2) WO2019079353A2 (en)

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110299987B (en) * 2019-06-24 2022-03-29 暨南大学 Mega-rich-root problem solving method based on homomorphic encryption
CN118568266B (en) * 2024-08-05 2024-10-15 湖州南浔交水规划设计研究有限公司 Municipal engineering design data processing method

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2005122484A (en) * 2003-10-16 2005-05-12 Sony Corp Private information management apparatus and private information management method
US7587396B2 (en) * 2004-11-24 2009-09-08 Oracle International Corporation Encoding data to be sorted
US8515058B1 (en) * 2009-11-10 2013-08-20 The Board Of Trustees Of The Leland Stanford Junior University Bootstrappable homomorphic encryption method, computer program and apparatus
US8630422B2 (en) * 2009-11-10 2014-01-14 International Business Machines Corporation Fully homomorphic encryption method based on a bootstrappable encryption scheme, computer program and apparatus
US9722777B2 (en) * 2013-08-01 2017-08-01 Visa International Service Association Homomorphic database operations apparatuses, methods and systems

Also Published As

Publication number Publication date
WO2019079353A2 (en) 2019-04-25
WO2019079353A3 (en) 2020-03-26
WO2019079355A1 (en) 2019-04-25

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