Abstract:
A system and a method for cryptographic reduced-coupon reloading are provided, where a coupon includes a pseudo-random number ri=PRFK(i), where i is an index for labeling the coupon, PRF is a predetermined pseudo-random function and K is a regeneration key, and a “reduced-coupon” xi=ƒ(ri), where ƒ is a predetermined one-way function, where: a candidate device and a second device acquire a common value of a token T, the candidate device transmits a verification value vT to the second device, the second device verifies whether the verification value is equal to PRF′Q(T), where PRF′ is a predetermined keyed pseudo-random function identical to, or derived from, the pseudo-random function PRF, where Q is an authentication key owned by the second device and known to the candidate device provided the candidate device is a legitimate reloading device, and if the verification is positive, one or several reduced-coupon(s) provided by the candidate device are stored in the second device.
Abstract:
A system and a method for cryptographic coupon reloading are provided for, wherein a coupon comprises, on one hand, a pseudo-random number ri=PRFK(i), where i is an index for labeling the coupon, PRF is a predetermined pseudo-random function and K is a regeneration key, and, on the other hand, a “reduced-coupon” xi such that xi=ƒ(ri), where ƒ is a predetermined one-way function, characterized in that it comprises the following steps: a candidate device (1) and a second device (2) acquire a common value of a token T, said candidate device (1) transmits a verification value vT to the second device (2), the second device (2) verifies whether said verification value vT is given by vT=PRF′Q(T), where PRF′ is a predetermined keyed pseudo-random function identical to, or derived from, said pseudo-random function PRF, and where Q is an authentication key owned by the second device (2) and known to the candidate device (1) provided the candidate device (1) is a legitimate reloading device (1), and if the verification is positive, one or several reduced-coupon(s) provided by the reloading device (1) are stored in the second device (2). Application to second devices contained in RFID tags.
Abstract:
The present invention relates to a method of protecting an electronic chip (1) of a user against fraud in transactions between an application (2) and the electronic chip (1).The method consists in: both the electronic chip (1) and the application (2) computing (16, 17) a certificate (Sp, S) which is the result of applying the logic function g to a list of arguments (e1, e2) comprising at least the seed R and the secret key K, allocating to the electronic chip (1) a second secret key K′ known only to the electronic chip (1) and to the application (2) and kept secret (13) in the electronic chip (1), on each authentication of the electronic chip (1), determining (18, 19) a mask M computed by applying a non-linear function f to at least a portion of the secret key K′, masking (20) the value of the certificate (Sp) by means of the mask M to make available to the application (2) only the masked value of the certificate (Spm), and using the application (2) to verify the masked value of the certificate (Spm) computed by the electronic chip (1).
Abstract:
A cryptographic method of protection against fraud in transactions between an application and an electronic chip of a user. Both the electronic chip and the application compute a certificate (Sp, S) which is the result of applying a non-linear function f to a list of arguments (e1, e2) comprising at least a seed R and a secret key KO. A second secret key K′ which is known only to the electronic chip and to the application is allocated to and kept secret in the electronic chip. Upon each authentication of the electronic chip, a mask M is determined by computing it from at least a portion of the secret key K′. The value of the certificate (Sp) is masked by means of the mask M to make available to the application only the masked value of the certificate (Spm). The application is used to verify the masked value of the certificate (Spm) computed by the electronic chip.
Abstract:
The present invention relates to a cryptographic method of protecting an electronic chip against fraud and a device including an electronic chip which is adapted to protect the electronic chip against fraud. The method includes: mixing some or all of the input parameters (Em) to supply an output data item E′=(e′1, e′2, . . . , e′n, . . . , e′N), changing the state of a finite state automaton from an old state to a new state as a function of the data item E′=(e′1, e′2, . . . , e′n, . . . , e′N), and calculating a certificate (S) by means of an output function having at least one state of the automaton as an input argument. The device includes: mixing means, a finite state automaton, and output means for calculating a certificate (S).
Abstract:
The invention concerns a list signature method comprising: an organization phase whereby reliable authority defines parameters for implementing an anonymous electronic signature; a phase which consists in registering persons on a list of authorized members to generate a list signature, during which each person calculates a private key, and the reliable authority delivers to each person a certificate for membership of the list; a phase which consists in defining a serial number; a phase wherein a member of the list generates by means of certificate a signature containing an element common to all the signatures issued by one single member with one single serial number; a phase which consists in verifying whether the signature has been generated by a member of the list and whether the serial number has been used to generate the signature.
Abstract:
A cryptographic method and apparatus for anonymously signing a message. Added to the anonymous signature is another signature which is calculated (operation 13) using a private key common to all the members of a group authorized to sign and unknown to all revoked members. The private key is updated (operations 8, 11) at group level on each revocation within the group and at member level only on anonymous signing of a message by the member.
Abstract:
The cryptographic method is used in transactions for which a first entity generates, by means of a private RSA key, a proof verifiable by a second entity by means of a public RSA key associated with said private key. The public key includes an exponent and a module. The first entity generates a first element of proof by a calculation that can be performed independently of the transaction, and a second element of proof related to the first element of proof and which depends on a common number shared by the first and the second entities specifically for the transaction. The second entity verifies that the first element of proof is related, modulo the module of the public key, to a power of a generic number, with an exponent equal to a linear combination of the common number and of a product of the exponent of the public key by the second element of proof.
Abstract:
The invention concerns a system enabling a member (M) of a group (G) to produce, by means of customized data (z; K), a message (m) accompanied by a signature (8) proving to a verifier that the message originates from a member of the group (G). The invention is characterized in that the customized data is in the form of an electronic physical medium (26). Advantageously, the latter also incorporates: encrypting means (B3) for producing a customized cipher (C) from the customized data prior to the signature S of the message (m), means (B5) for producing a combination of a message m to be signed and the cipher (C) associated with said message, for example in the form of a concatenation of the message (m) with the cipher (C), and means (B6) for signing (Sig) the message (m) with the customized data (z; K) in the form of a cipher (C) associated with said message. Advantageously, the physical medium is a smart card (26) or the like.
Abstract:
A method of pre-authentication of a first entity (10) by a second entity (1) communicating with each other via a wireless connection. The second entity (1) sends (23′) a challenge value (c). If the first entity (10) receives (23) a challenge value (c′), it applies to the received challenge value a predefined transformation (g) known to the second entity to obtain a first transformed value (r) and then sends (24) the first transformed value (r) obtained. If the second entity receives (24′) a transformed value (r′), it compares (25′) the received transformed value to a second transformed value (r″) obtained by applying the predefined transformation (g) to the challenge value sent and considers the pre-authentication to have succeeded if the result of comparing the second transformed value obtained and the transformed value received is below a predefined threshold (m).