Index Catalog // Scholar@UC

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:: Magma programs to chapter 5 of the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt. load "keygen.txt" ; wiil generate the files public_key.txt and private_key.txt. load "sign.txt" ; will use the file private_key.txt to sign a randomly generated text and will deposit the signture in the file signature.txt load "veryfy.txt"; will use the file public_key.txt and determine if the signature is valid.
Creator/Author:: Schmidt, Dieter Sam
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 5 of book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt For generating the public and private keys use; load "keygen.txt" To sign a (randomly generated) document: load "sign.txt"; To verify the signature: load "verify.txt"; If the characteristic is odd use: load "forge_odd.txt"; The program uses only the data in public_key.txt and a randomly generated document and shows that its signature would be accepted. The program "forge_even.txt" for the case with even characteristic will be added later
Creator/Author:: Schmidt, Dieter Sam
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/09/2019
Date Modified:: 04/03/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs for chapter 5 in the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt
Creator/Author:: Schmidt, Dieter Sam
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/08/2019
Date Modified:: 03/08/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs for the variants of the Hidden Field Equations. In order to run these programs use load "keygen.txt"; load "encrypt.txt"; load "decrypt.txt"; A message is generated at random. Modify the program to use your own message and/or change the parameters in the file keygen.txt
Creator/Author:: Schmidt, Dieter Sam
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/08/2019
Date Modified:: 03/08/2019
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs for the original Hidden Field Equations by Patarin To run these programs use load "keygen.txt"; load "encrypt.txt"; load "decrypt.txt"; A message is generated at random. Modify the program to use your own message and/or change the parameters
Creator/Author:: Schmidt, Dieter Sam
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/08/2019
Date Modified:: 08/12/2020
License:: Public Domain Mark 1.0

Type:: Document
Description/Abstract:: Magma programs to chapter 4 of the book "Multivariate Public Key Cryptosystems" by Ding, Petzoldt and Schmidt There are two attachments one for the original Hidden Field Equations (HFE) and the other for variants of it (HFEv)
Creator/Author:: Schmidt, Dieter Sam
Submitter:: Dieter Sam Schmidt
Date Uploaded:: 03/08/2019
Date Modified:: 03/08/2019
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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