CN110383754B - 基于椭圆曲线同源的密钥协商协议 - Google Patents

基于椭圆曲线同源的密钥协商协议 Download PDF

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Publication number
CN110383754B
CN110383754B CN201880014497.9A CN201880014497A CN110383754B CN 110383754 B CN110383754 B CN 110383754B CN 201880014497 A CN201880014497 A CN 201880014497A CN 110383754 B CN110383754 B CN 110383754B
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elliptic curve
point
network node
key
private
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CN110383754A (zh
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O·加西亚莫尔琼
S·巴塔查里亚
L·M·G·M·托尔胡伊泽恩
R·里特曼
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Koninklijke Philips NV
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    • 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
    • H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0861—Generation of secret information including derivation or calculation of cryptographic keys or passwords
    • H04L9/0866—Generation of secret information including derivation or calculation of cryptographic keys or passwords involving user or device identifiers, e.g. serial number, physical or biometrical information, DNA, hand-signature or measurable physical characteristics
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic
    • G06F7/725—Finite field arithmetic over elliptic curves
    • 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
    • H04L9/06—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols the encryption apparatus using shift registers or memories for block-wise or stream coding, e.g. DES systems or RC4; Hash functions; Pseudorandom sequence generators
    • H04L9/0643—Hash functions, e.g. MD5, SHA, HMAC or f9 MAC
    • 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
    • H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
    • H04L9/0838—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these
    • H04L9/0841—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these involving Diffie-Hellman or related key agreement protocols
    • 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
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
    • H04L9/3073—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves involving pairings, e.g. identity based encryption [IBE], bilinear mappings or bilinear pairings, e.g. Weil or Tate pairing
    • 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
    • H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
    • H04L9/3247—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials involving digital signatures
    • H04L9/3257—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials involving digital signatures using blind signatures
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
    • H04L2209/60—Digital content management, e.g. content distribution
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
    • H04L2209/80—Wireless

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  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • Computational Mathematics (AREA)
  • Algebra (AREA)
  • Power Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Storage Device Security (AREA)
  • Mobile Radio Communication Systems (AREA)
CN201880014497.9A 2017-02-28 2018-02-12 基于椭圆曲线同源的密钥协商协议 Active CN110383754B (zh)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
EP17158508.6 2017-02-28
EP17158508.6A EP3367608A1 (en) 2017-02-28 2017-02-28 Elliptic curve isogeny based key agreement protocol
PCT/EP2018/053389 WO2018158065A1 (en) 2017-02-28 2018-02-12 Elliptic curve isogeny based key agreement protocol

Publications (2)

Publication Number Publication Date
CN110383754A CN110383754A (zh) 2019-10-25
CN110383754B true CN110383754B (zh) 2023-04-04

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Country Link
US (2) US11728988B2 (https=)
EP (2) EP3367608A1 (https=)
JP (1) JP7221872B2 (https=)
CN (1) CN110383754B (https=)
RU (1) RU2728519C1 (https=)
WO (1) WO2018158065A1 (https=)

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US12056549B1 (en) 2015-06-28 2024-08-06 Lcip Jv Method and apparatus for activating a remote device
US12609809B2 (en) 2015-06-28 2026-04-21 Peter Lablans Method and apparatus for activating a remote device
US11005656B2 (en) * 2018-12-07 2021-05-11 Arris Enterprises Llc Embedding information in elliptic curve base point
US11032074B2 (en) * 2019-02-11 2021-06-08 Pqsecure Technologies, Llc Cryptosystem and method using isogeny-based computations to reduce a memory footprint
US11438152B2 (en) 2020-01-31 2022-09-06 Visa International Service Association Distributed symmetric encryption
US11431487B2 (en) 2020-04-28 2022-08-30 Visa International Service Association Adaptive attack resistant distributed symmetric encryption
WO2021222272A1 (en) * 2020-04-28 2021-11-04 Visa International Service Association Adaptive attack resistant distributed symmetric encryption
CN111935163B (zh) * 2020-08-14 2022-08-09 支付宝(杭州)信息技术有限公司 保护隐私的数据联合处理方法及装置
DE112020007408B4 (de) * 2020-09-23 2024-12-05 Mitsubishi Electric Corporation Kryptographisches system, verschlüsselungseinrichtung, entschlüsselungseinrichtung und schlüsselerzeugungseinrichtung
WO2022146437A1 (en) * 2020-12-30 2022-07-07 Pqsecure Technologies, Llc High-performance systems to validate isogeny-based cryptography keys
EP4050839A1 (de) * 2021-02-24 2022-08-31 Siemens Aktiengesellschaft Verfahren zur vereinbarung eines gemeinsamen kryptographischen schlüssels und verfahren zur verschlüsselten kommunikation sowie computerprogrammprodukt und gerät
US11757630B2 (en) * 2021-04-27 2023-09-12 Cisco Technology, Inc. Set up and distribution of post-quantum secure pre-shared keys using extendible authentication protocol
WO2022250656A1 (en) * 2021-05-25 2022-12-01 Pqsecure Technologies, Llc An efficient and scalable architecture and method for isogeny-based cryptosystems
US11683171B2 (en) * 2021-06-03 2023-06-20 International Business Machines Corporation Acceleration of elliptic curve-based isogeny cryptosystems
US11483151B1 (en) 2021-07-16 2022-10-25 Pqsecure Technologies, Llc Method and system for computing large-degree isogenies with an odd degree
US12242847B2 (en) 2021-08-13 2025-03-04 Pqsecure Technologies, Llc Fast multiple core method and system for chaining isogeny computations
US12580769B2 (en) * 2021-09-30 2026-03-17 Visa International Service Association Round optimal oblivious transfers from isogenies
CN113992325B (zh) * 2021-10-09 2023-07-11 深圳前海微众银行股份有限公司 一种隐私数据共享方法及装置
EP4195581A1 (en) * 2021-12-08 2023-06-14 Nagravision Sàrl Improvements in and relating to cryptography
CN115982731A (zh) * 2022-12-06 2023-04-18 深圳壹账通智能科技有限公司 多机构的黑名单池保密生成方法、装置、设备及存储介质
CN116405197A (zh) * 2023-03-09 2023-07-07 北京握奇数据股份有限公司 密钥的协同交换方法、装置、电子设备及介质
WO2025207140A2 (en) * 2023-09-19 2025-10-02 Ntt Research, Inc. Isogeny-based anonymous ring signature system and method
CN117834138B (zh) * 2024-03-04 2024-05-24 北卡科技有限公司 一种适用于即时通信的密钥协商方法、系统、设备及介质

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Publication number Publication date
EP3590224B1 (en) 2020-07-01
JP2020509695A (ja) 2020-03-26
EP3367608A1 (en) 2018-08-29
WO2018158065A1 (en) 2018-09-07
JP7221872B2 (ja) 2023-02-14
US11728988B2 (en) 2023-08-15
US20230336346A1 (en) 2023-10-19
RU2728519C1 (ru) 2020-07-30
EP3590224A1 (en) 2020-01-08
US20200014534A1 (en) 2020-01-09
CN110383754A (zh) 2019-10-25

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