Index Catalog // Scholar@UC

Type:: Document
Description/Abstract:: Programs for solving univariate and multivariate polynomials. load "Univariate"; will load a collection of routines for polynomials in one variable. The file main_univariate shows how to call the different routines. load "solve_overdetermined.txt"; will generate an overdetermined system and the uses the relinearization method to solve it. Delete the first part of the program in order to run it with your own system of equations.
Creator/Author:: Petzoldt, Albrecht; Schmidt, Dieter Sam, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 01/26/2020
Date Modified:: 01/28/2020
Date Created:: 2020-01
License:: Open Data Commons Public Domain Dedication and License (PDDL)

Type:: Document
Description/Abstract:: Magma programs related to chapter 6 of the book by Ding, Petzoldt and Schmidt.. a 3-pass version and a 5-pass version is given. After downloading the files use load "MQident3.txt"; or load "MQident5.txt";
Creator/Author:: Petzoldt, Albrecht; Schmidt, Dieter Sam, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/14/2019
Date Modified:: 03/14/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Programs related to the perturbed Matsumoto Imai methods. load "keygen.txt"; load "encrypt.txt"; load "decrypt.txt"; Feel free to change the parameters
Creator/Author:: Petzoldt, Albrecht; Schmidt, Dieter Sam, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/14/2019
Date Modified:: 03/14/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs for the original method of Matsumoto-Imai. Download the files and then in Magma use load "keygen.txt"; load "encrypt.txt"; load "decrypt.txt"; The first program will generate the files private_key.txt and public_key.txt. With load "LinearizationEquations.txt";. the equations are produced to break this method. Experiment by changing the parameters.
Creator/Author:: Schmidt, Dieter Sam; Petzoldt, Albrecht, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/14/2019
Date Modified:: 03/14/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs to chapter 7 pf the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt using the rectangular simple matrix scheme. load "keygen.txt" will generate the file public_key.txt and private_key.txt load "encrypt.txt"; will generate the file "ciphertexrt.txt" by encrypting a randomly generated file load "decrypt.txt" will then decrypt that file.
Creator/Author:: Petzoldt, Albrecht; Schmidt, Dieter Sam, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/09/2019
Date Modified:: 03/09/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs to the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt using the simple ABC scheme. load "keygen.txt"; will generate the public and private keys in the files public_key.txt and private_key.txt load "encrypt.txt"; will encrypt a randomly generated text and put the result into ciphertext.txt load "decrypt.txt"; will decrypt that file
Creator/Author:: Petzoldt, Albrecht and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/09/2019
Date Modified:: 03/09/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Programs to chapter 7 of the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt. Two methods are attached, one for the standard ABC method, the other for the rectangular ABC method
Creator/Author:: Petzoldt, Albrecht; Schmidt, Dieter Sam, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/09/2019
Date Modified:: 03/09/2019
License:: Public Domain Mark 1.0

Type:: Dataset
Description/Abstract:: Magma programs to chapter 5 of the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt. For the rainbow cryptosystems load "keygen.txt'; will generate the files public_key.txt and private_key.txt, which are then used via load "sign.txt"; to genertate the signature of a randomly generated document, and by load "verify.txt"; to chack that it is a valid signature
Creator/Author:: Petzoldt, Albrecht; Schmidt, Dieter Sam, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/09/2019
Date Modified:: 03/09/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Programs used and described in the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt. All programs can be downloaded via the attached zip file. Modify the file "startup.txt" so that the base directory matches your setup. Put this file where magma can find it. After starting magma run: load "startup.txt"; It will then allow you to select the method on which you want to work. Files can be downloaded individually by clicking on a chapter name and then selecting the scheme of interest.
Creator/Author:: Schmidt, Dieter Sam; Petzoldt, Albrecht, and Ding, Jintai
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/06/2019
Date Modified:: 08/12/2020
License:: Public Domain Mark 1.0

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