TH53420B - Using Isogenei for Designing Cryptographic Systems - Google Patents

Abstract

DC60 (08/09/47) Exposed techniques to enable public key cryptography. In addition, the isogeny of Abilian diversity (such as the elliptical curve in the one-dimensional case) is introduced to enable the public-key encryption system. For example, cough Sogenny allows the use of multiple curves instead of just one to achieve a more secure cryptographic technique. With digital signature And / or Authentication Encryption (IBE) systems. Isogeny can also be applied in a variety of applications such as baud signature, hierarchical systems, and more. Has also been revealed Exposed techniques enable public key cryptography. In addition, the isogeny of Abilian diversity (such as the elliptical curve in the one-dimensional case) is introduced to enable the public-key encryption system. For example, cough Sogenny allows multiple curves instead of just one to achieve a more secure switch encoding. With digital signature And / or Authentication Encryption (IBE) systems. In addition, the isogeny can be applied to places such as blind signatures, hierarchies, and more. Jenny has also been revealed.

Claims (9)

Disclaimer (all) which will not appear on the advertisement page: 1. Method including: Exposure (104) public key assigned by isogeny () sent. Greater than one number of points from the Abilian variety. (Abelian) First (E1) to the A wide variety of Abilion II (E2) and (108) decryption. The message is encrypted using an encryption key defined by Isogeny 2. Clause 1 is processed while at least one encryption key or decryption key. Is private key And the private key is an isogenny pair of isogeny 3. The process follows claim 1 while the isogenny is also created. Technid that was chosen from A group consisting of complex product generation, independent linear generation. And its mixing 4. Process according to claim 1, while creating multiple point submissions. Point from the elliptic curve The first line leads to the second eliptic curve. 5. The process follows claim 1 while decoding is performed. With a linear pair 6. Process according to claim 5, while linear pairing A pair is a match that was chosen. The group consists of a pair of wears, a pair of tates, and a pair of squares. 7. The process of claim 1, while the process is applied by The Abilian variety is used 8. The process is the same as in 1, while the method is used to sign the message 9. The method follows claim 1 while the encryption method is used. Authentication form 1 0. Process according to claim 1 consists of combining modula iso Jenny in giving isogen This does not disclose the curves along the way. 1 1. The process of claim 1 consists of the use of pass-down passes. To the base field in Shortening a point on an elective curve Transmitted by Isogeni 1. 2. The process of claim 1 consists of the use of pass-through in Shortening the point on Abilian Diversity 1 3. The process consists of Public key publications corresponding to the Izone Jenny sending the point. Multiple points from the elliptical curve The first line to the second eliptic curve, the decoding of the encrypted message with the encryption key corresponds to isogene 1 4. Claim 13 process, while the decryption key is an isogene pair of iso. Jenny 1 5. Procedures according to claim 13 while Isogeny was also created. The technique was chosen from A group consisting of complex product generation, independent linear generation. And its mixing 1 6. Process 13, while generating multiple point transmission from a line. The first eletric curve to Second eliptic curve 1 7. The claim method is the same as No. 13, while removing The code was made with access Linear pairing 1 8. Claim method 17 While linear pairing The even line is the chosen match. The group consists of the wear pair, the tate pair, and the squared pair 1. 9. The method according to claim 13 while the method is applied. Using Abilian Diversity 2 0. Clause 13 while using the Clause 2 Method. Authentication code 2 2. Process according to claim 13 consists of combining modula iso. Jenny in giving iso Jenny did not reveal the curves along the way. 2. 3. System consists: First processor. The first memory in conjunction with the first processor, the first memory, stores the public key corresponding to the isogene that sends the point destination from the first elective curve. To the curve Second eliptic Second processor The second memory shares with the second processor, the second memory stores the clause. Isogeny-compliant encryption and decryption key used to decrypt the encrypted message. While the encrypted message is encrypted with the encryption key 2 4. Clause 23 process, while the encrypted key is completely encrypted. At least one key or decryption key is a private key and the private key is an isogeni pair of Isogeni 2. 5. Claim 23 process while generating point transmission. Multiple points from the elliptic curve The first line leads to the second elliptical curve 2 6. The process follows claim 23 while the decoding is performed. With linear pair matching 2 7. process according to claim 26 while linear pairing The even line is a match that has been chosen. The group consists of a pair of wards, tates, and squares 2. 8. One or more computer-readable media containing instructions are stored, which, when performed, causes the computer to do the following: Publicing the public key corresponding to the isogeny that sends the stopper Several points from the first eliptic curve to the second eliptic curve. Decoding of the encrypted message with the encryption key corresponds to Isogeny 2. 9. The media read by the computer. Obtain one or more media per claim 28 as the encryption key. At least one key or decryption key is private. And the private key is an isogenny pair of isogeni 3. 0. One or more computer-readable media per claim 28, while the isogeny Was built with the right technique Choose from a group consisting of complex multiplication, independent linear generation, and their combinations. 1. One or more computer-readable media in accordance with claim 28 at the time of creation. Sending multiple points from a line The first eliptic curve to the line Second eliptic curve 3 2. One or more computer-readable media in accordance with claim 28. The code is executed with a double linear match 3. 3. One or more computer-readable media in accordance with claim 32, while matching A linear pair is an entry The chosen pair is a group consisting of a pair of wear, tate, and 3 squares. 4. One or more computer-readable media in accordance with claim 28. Applied using Abilian 3 diversity 5. One or more computer-readable media in accordance with claim 28 consists of use of: Thrace sending down to the ground field. The base to shorten the point on the line Eliptic curves transmitted by isogeny 3. 6.One or more computer-readable media in accordance with claim 28 consists of: Include a modula isogenny in providing an undisclosed isogenny curve along the way 3. 7. One or more computer-readable media in accordance with claim 28 includes use of. Send Trace to make the stop On Abelian Diversity 3. 8. One or more computer-readable media in accordance with claim 28 while using the method in Message sign 3 9. One or more computer-readable media in accordance with claim 28 while using the method in Authenticated encryption