JP6974461B2 - 幾何代数を用いた高度データ中心型暗号化システムのための方法およびシステム - Google Patents
幾何代数を用いた高度データ中心型暗号化システムのための方法およびシステム Download PDFInfo
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- H—ELECTRICITY
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- 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
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- H04L63/0428—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks wherein the data content is protected, e.g. by encrypting or encapsulating the payload
- H04L63/0435—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks wherein the data content is protected, e.g. by encrypting or encapsulating the payload wherein the sending and receiving network entities apply symmetric encryption, i.e. same key used for encryption and decryption
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- 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
- G06F7/722—Modular multiplication
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L63/00—Network architectures or network communication protocols for network security
- H04L63/06—Network architectures or network communication protocols for network security for supporting key management in a packet data network
- H04L63/061—Network architectures or network communication protocols for network security for supporting key management in a packet data network for key exchange, e.g. in peer-to-peer networks
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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
- H04L9/06—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
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- 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
- H04L9/0618—Block ciphers, i.e. encrypting groups of characters of a plain text message using fixed encryption transformation
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- 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
- H04L9/065—Encryption by serially and continuously modifying data stream elements, e.g. stream cipher systems, RC4, SEAL or A5/3
- H04L9/0656—Pseudorandom key sequence combined element-for-element with data sequence, e.g. one-time-pad [OTP] or Vernam's cipher
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- H—ELECTRICITY
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- 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
- H04L9/0819—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s)
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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
- H04L9/0816—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
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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
- H04L9/0816—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
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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
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Description
本出願は、2016年8月2日に出願された「幾何代数を用いた高度データ中心型暗号化システムのための方法およびシステム(Methods and Systems for Enhanced Data-Centric Encryption Systems Using Geometric Algebra)」と題された米国特許仮出願第62/370,183号、2017年1月30日に出願された「幾何代数を用いた高度データ中心型暗号化加法準同形システムのための方法およびシステム(Methods and Systems for Enhanced Data-Centric Encryption Additive Homomorphic Systems Using Geometric Algebra)」と題された米国特許仮出願第62/452,246号、および2017年4月7日に出願された「幾何代数を用いた強化データ中心スカラ乗法準同形暗号化システムのための方法およびシステム(Methods and Systems for Enhanced Data-Centric Scalar Multiplicative Homomorphic Encryption Systems Using Geometric Algebra)」と題された米国特許仮出願第62/483,227号に基づくとともに、これらの優先権を主張するものであり、これらの仮出願は、その開示および教示のすべてについて、本明細書中において具体的に引用により援用される。
n = n * 256 + ascii_array_from_message[i]
s = get_char(n AND 0xFF) + s
n = 30792318992869221
while n > 0
s = get_char(n AND 0xFF) + s
Claims (50)
- 幾何代数幾何積およびマルチベクトルの逆元の評価は、加算、減算、乗算、および除算の基本的な算術演算を用いて、前記送信元演算装置および前記送信先演算装置に対して実施される、請求項1に記載の方法。
- 前記送信元演算装置および前記送信先演算装置上での前記幾何代数幾何積およびマルチベクトルの逆元の実施は、素数の選択、対数関数の演算、および/または自然対数関数の複雑な演算を含まない、請求項2に記載の方法。
- 前記標準的なコンピュータ文字コード化特徴は、前記当初の英数字テキストメッセージのテキスト文字についてのASCII(情報交換用米国標準コード)コードである、請求項4に記載の方法。
- 前記追加の特徴データは、暗号化セキュリティを向上させるためのダミーデータと、追加の演算のためのコマンド指示と、前記追加の演算のための構成データとを含む群から選択される少なくとも1つからなる、請求項14に記載の方法。
- 幾何代数幾何積およびマルチベクトルの逆元の評価は、前記送信元演算装置および前記送信先演算装置によって、加算、減算、乗算、および除算の基本的な算術演算を用いて実施される、請求項26に記載のEDCEシステム。
- 前記送信元演算装置および前記送信先演算装置上での前記幾何代数幾何積およびマルチベクトルの逆元の実施は、素数の選択、対数関数の演算、および/または自然対数関数の複雑な演算を含まない、請求項27に記載のEDCEシステム。
- 前記標準的なコンピュータ文字コード化特徴は、前記当初の英数字テキストメッセージのテキスト文字についてのASCII(情報交換用米国標準コード)コードである、請求項29に記載のEDCEシステム。
- 前記追加の特徴データは、暗号化セキュリティを向上させるためのダミーデータと、追加の演算のためのコマンド指示と、前記追加の演算のための構成データとを含む群から選択される少なくとも1つからなる、請求項39に記載のEDCEシステム。
Applications Claiming Priority (7)
Application Number | Priority Date | Filing Date | Title |
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US201662370183P | 2016-08-02 | 2016-08-02 | |
US62/370,183 | 2016-08-02 | ||
US201762452246P | 2017-01-30 | 2017-01-30 | |
US62/452,246 | 2017-01-30 | ||
US201762483227P | 2017-04-07 | 2017-04-07 | |
US62/483,227 | 2017-04-07 | ||
PCT/US2017/045141 WO2018026944A1 (en) | 2016-08-02 | 2017-08-02 | Methods and systems for enhanced data-centric encryption systems using geometric algebra |
Publications (2)
Publication Number | Publication Date |
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JP2019528028A JP2019528028A (ja) | 2019-10-03 |
JP6974461B2 true JP6974461B2 (ja) | 2021-12-01 |
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JP2019527770A Active JP6974461B2 (ja) | 2016-08-02 | 2017-08-02 | 幾何代数を用いた高度データ中心型暗号化システムのための方法およびシステム |
Country Status (6)
Country | Link |
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US (1) | US10728227B2 (ja) |
EP (1) | EP3494663B8 (ja) |
JP (1) | JP6974461B2 (ja) |
KR (1) | KR102520502B1 (ja) |
CN (1) | CN109792383B (ja) |
WO (1) | WO2018026944A1 (ja) |
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CN111859035B (zh) * | 2020-08-12 | 2022-02-18 | 华控清交信息科技(北京)有限公司 | 数据处理方法及装置 |
EP4050471A1 (en) * | 2021-02-26 | 2022-08-31 | Zama SAS | Encrypted scalar multiplication |
CN113434876A (zh) * | 2021-06-22 | 2021-09-24 | 海光信息技术股份有限公司 | 一种数据加密方法、装置、内存控制器、芯片及电子设备 |
CN114153854B (zh) * | 2022-02-09 | 2022-05-10 | 支付宝(杭州)信息技术有限公司 | 一种基于秘密分享的多键分组信息获取方法和系统 |
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KR102520502B1 (ko) | 2023-04-12 |
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EP3494663B8 (en) | 2023-11-01 |
EP3494663C0 (en) | 2023-08-30 |
US10728227B2 (en) | 2020-07-28 |
CN109792383A (zh) | 2019-05-21 |
EP3494663A1 (en) | 2019-06-12 |
EP3494663B1 (en) | 2023-08-30 |
WO2018026944A1 (en) | 2018-02-08 |
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