公开(公告)号：US10389520B2

公开(公告)日：2019-08-20

申请号：US15516662

申请日：2015-09-25

Applicant: CRYPTOGRAPHY RESEARCH, INC.

Inventor： Michael Tunstall

IPC: H04L9/00 ,  G06F7/72 ,  G06F21/75

Abstract: A first share value and a second share value may be received. A combination of the first share value and the second share value may correspond to an exponent value. The value of a first register is updated using a first equation that is based on the first and second share values and the value of a second register is updated using a second equation that is based on the second share value. One of the value of the first register or the value of the second register is selected based on a bit value of the second share value.

公开(公告)号：US20180351729A1

公开(公告)日：2018-12-06

申请号：US15533974

申请日：2015-12-03

Applicant: CRYPTOGRAPHY RESEARCH, INC.

Inventor： Michael Tunstall ,  Francois Durvaux, Jr.

IPC: H04L9/00 ,  G06F21/71

CPC classification number: H04L9/003 ,  H04L2209/046

Abstract: A value corresponding to an input for a cryptographic operation may be received. The value may be masked by multiplying the value with a first number modulo a prime number. The cryptographic operation may subsequently be performed on the masked value.

公开(公告)号：US11863657B2

公开(公告)日：2024-01-02

申请号：US18061879

申请日：2022-12-05

Applicant: CRYPTOGRAPHY RESEARCH, INC.

Inventor： Michael Tunstall

IPC: H04L9/00 ,  H04L9/08 ,  H04L9/30 ,  H04L9/32

CPC classification number: H04L9/003 ,  H04L9/0825 ,  H04L9/302 ,  H04L9/3249 ,  H04L2209/046

Abstract: Aspects of the present disclosure involves receiving an input message, generating a first random value that is used to blind the input message to prevent a side-channel analysis (SCA) attack, computing a second random value using the first random value and a factor used to compute the Montgomery form of a blinded input message without performing an explicit Montgomery conversion of the input message, and computing a signature using Montgomery multiplication, of the first random value and the second random value, wherein the signature is resistant to the SCA attack.

公开(公告)号：US11822704B2

公开(公告)日：2023-11-21

申请号：US17290027

申请日：2019-10-28

Applicant: CRYPTOGRAPHY RESEARCH, INC.

Inventor： Michael Hutter ,  Michael Tunstall

IPC: G06F21/72 ,  G06F21/75 ,  H04L9/00

CPC classification number: G06F21/72 ,  G06F21/755 ,  H04L9/003

Abstract: A first arithmetic input share and a second arithmetic input share of an initial arithmetically-masked cryptographic value are received. A sequence of operations using the arithmetic input shares and a randomly generated number is performed, where a current operation in the sequence of operations generates a corresponding intermediate value that is used in a subsequent operation. At the end of the sequence of operations, a first Boolean output share and a second Boolean output share are generated. The arithmetic-to-Boolean mask conversion is independent of the input bit length.

公开(公告)号：US20230198739A1

公开(公告)日：2023-06-22

申请号：US17864230

申请日：2021-01-20

Applicant: Cryptography Research, Inc.

Inventor： Michael Tunstall

IPC: H04L9/00 ,  G06F7/72 ,  G06F7/38

CPC classification number: H04L9/002 ,  G06F7/72 ,  G06F7/38

Abstract: Computing devices, methods, and systems for corrections to the “almost” binary extended GCD in a cryptographic operation of a cryptographic process are disclosed. Exemplary implementations may: receive, from a cryptographic process, a command to compute a binary extended greatest common denominator of a first input value and a second input value for a cryptographic operation; compute, by a binary extended GCD algorithm, the binary extended GCD using a multiplication with an inverse of two, instead of a division by two, to obtain a first output value; compute, by the binary extended GCD algorithm, a second output value and a third output value; and return, to the cryptographic process, the first output value, the second output value, and the third output value.

公开(公告)号：US20230179395A1

公开(公告)日：2023-06-08

申请号：US18061879

申请日：2022-12-05

Applicant: CRYPTOGRAPHY RESEARCH, INC.

Inventor： Michael Tunstall

IPC: H04L9/00 ,  H04L9/08 ,  H04L9/30 ,  H04L9/32

CPC classification number: H04L9/003 ,  H04L9/0825 ,  H04L9/302 ,  H04L9/3249 ,  H04L2209/046

Abstract: Aspects of the present disclosure involves receiving an input message, generating a first random value that is used to blind the input message to prevent a side-channel analysis (SCA) attack, computing a second random value using the first random value and a factor used to compute the Montgomery form of a blinded input message without performing an explicit Montgomery conversion of the input message, and computing a signature using Montgomery multiplication, of the first random value and the second random value, wherein the signature is resistant to the SCA attack.

公开(公告)号：US11658799B2

公开(公告)日：2023-05-23

申请号：US17339689

申请日：2021-06-04

Applicant: Cryptography Research, Inc.

Inventor： Michael Tunstall

IPC: H04L9/00 ,  G06F7/72 ,  G06F21/75

CPC classification number: H04L9/003 ,  G06F7/723 ,  G06F21/755 ,  G06F2207/7242

Abstract: A first share value and a second share value may be received. A combination of the first share value and the second share value may correspond to an exponent value. The value of a first register is updated using a first equation that is based on the first and second share values and the value of a second register is updated using a second equation that is based on the second share value. One of the value of the first register or the value of the second register is selected based on a bit value of the second share value.

公开(公告)号：US11626970B2

公开(公告)日：2023-04-11

申请号：US15533974

申请日：2015-12-03

Applicant: CRYPTOGRAPHY RESEARCH, INC.

Inventor： Michael Tunstall ,  Francois Durvaux, Jr.

IPC: H04L9/00 ,  G06F21/71

Abstract: A value corresponding to an input for a cryptographic operation may be received. The value may be masked by multiplying the value with a first number modulo a prime number. The cryptographic operation may subsequently be performed on the masked value.

公开(公告)号：US11620109B2

公开(公告)日：2023-04-04

申请号：US17124374

申请日：2020-12-16

Applicant: Cryptography Research, Inc.

Inventor： Michael Hutter ,  Michael Tunstall

IPC: G06F21/72 ,  H04L9/06 ,  H04L9/14 ,  H04L9/30 ,  G06F7/58 ,  H04L9/00 ,  G09C1/00 ,  G06F7/76 ,  G06F7/00

Abstract: A first input share value, a second input share value, and a third input share value may be received. The first input share value may be converted to a summation or subtraction between an input value and a combination of the second input share value and the third input share value. A random number value may be generated and combined with the second input share value and the third input share value to generate a combined value. Furthermore, a first output share value may be generated based on a combination of the converted first input share value, the combined value, and additional random number values.

公开(公告)号：US11032060B2

公开(公告)日：2021-06-08

申请号：US16534719

申请日：2019-08-07

Applicant: Cryptography Research, Inc.

Inventor： Michael Tunstall

IPC: H04L9/00 ,  G06F7/72 ,  G06F21/75

Abstract: A first share value and a second share value may be received. A combination of the first share value and the second share value may correspond to an exponent value. The value of a first register is updated using a first equation that is based on the first and second share values and the value of a second register is updated using a second equation that is based on the second share value. One of the value of the first register or the value of the second register is selected based on a bit value of the second share value.