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  • The Research about Invariants of Ordinary Differential Equations

    Document thumbnail: The Research about Invariants of Ordinary Differential Equations
    Type:
    Document
    Description/Abstract:
    Abstract. Several basic relative invariants for homogeneous linear differential equations were discovered during the years shortly after 1878. Also, a basic relative invariant was found by Paul Appell in 1889 for a type of nonlinear differential equation. There was little progress during the years 1892--1988 as researchers who worked with homogeneous linear differential equations were unknowingly handicapped by the standard practice of introducing binomial coefficients in the writing of their equations. They thereby failed to develop adequate formulas for the coefficients of equations resulting from a change of the independent variable. Consequently, for relative invariants as the most important kind of invariant, progress was stymied. The notation was simplified in 1989, adequate transformation formulas were developed, and explicit expressions were deduced in 2002 for all of the basic relative invariants of homogeneous linear differential equations. In 2007, explicit formulas were obtained for all of the basic relative invariants of a type of ordinary differential equation involving two parameters m and n that represent positive integers. When n = 1 and m >= 3, the formulas specialize to provide all of the basic relative invariants for homogeneous linear differential equations of order m; and, when m = n = 2, they yield all three of the basic relative invariants for the equations of Paul Appell. A general method developed in 2014 combines two relative invariants of weights p and q for the same type of equation to explicitly obtain a relative invariant of weight p+q +r, for any r >= 0. With that, the principal problems about relative invariants have now been solved. This monograph provides clear perspective about the reformulation begun after 1988 and recently completed. Chapters 15 and 18 show how the major difficulties confronting earlier researchers have been overcome.
    Creator/Author:
    Chalkley, Roger
    Submitter:
    Roger Chalkley
    Date Uploaded:
    03/21/2019
    Date Modified:
    03/21/2019
    Date Created:
    2018-10-19
    License:
    All rights reserved

  • Multivariate-Quadratic-Digital-Signature-Scheme

    Document thumbnail: Multivariate-Quadratic-Digital-Signature-Scheme
    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

  • SFLASH

    Document thumbnail: SFLASH
    Type:
    Document
    Description/Abstract:
    Magma programs related to SFLASH in chapter 3 of the book by Ding, Petzoldt and Schmidt. The program was inteneded for signing a document. To run this program in Magma use load "keygen.txt"; load "sign.txt"; load "verify.txt"; A document is generated at random. Provide your own documentn and change the parameters.
    Creator/Author:
    Schmidt, Dieter Sam; Ding, Jintai, and Schmidt, Dieter
    Submitter:
    Dieter Sam Schmidt
    Date Uploaded:
    03/14/2019
    Date Modified:
    03/14/2019
    License:
    Public Domain Mark 1.0

  • PMI (perturbed Matsumoto_Imai)

    Document thumbnail: PMI (perturbed Matsumoto_Imai)
    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

  • MI (original Matsumoto-Imai method)

    Document thumbnail: MI (original Matsumoto-Imai method)
    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

  • Matsumoto-Imai

    Document thumbnail: Matsumoto-Imai
    Type:
    Document
    Description/Abstract:
    Magma programs related to chapter 3 of the book by Ding, Pretzoldt and Schmidt
    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

  • viDEO sAVant vs. duo B. at Shapeshifters Cinema

    Media thumbnail: viDEO sAVant vs. duo B. at Shapeshifters Cinema
    Type:
    Media
    Description/Abstract:
    Live audio visual improvisation with duo B. on December 19, 2018 at Shapeshifters Cinema in Oakland, CA.
    Creator/Author:
    Woodman, Charles
    Submitter:
    Charles Woodman
    Date Uploaded:
    03/14/2019
    Date Modified:
    03/14/2019
    Date Created:
    2018-12-19
    License:
    All rights reserved

  • viDEO sAVant vs. duo B. at Center for New Music

    Media thumbnail: viDEO sAVant vs. duo B. at Center for New Music
    Type:
    Media
    Description/Abstract:
    Live audio visual improvisation with duo B. on September 26, 2018 at Center for New Music in San Francisco, CA.
    Creator/Author:
    Woodman, Charles
    Submitter:
    Charles Woodman
    Date Uploaded:
    03/14/2019
    Date Modified:
    03/14/2019
    Date Created:
    2018-09-26
    License:
    All rights reserved

  • Canto One

    Media thumbnail: Canto One
    Type:
    Media
    Description/Abstract:
    This animation is created by Charles Woodman & Kim Anno. Woodman made the images and voice recordings Anno adapted "Canto 1" from Dante’s Purgatorio, making the text secular, and she created the soundscape effects. Keisha Kemper and Michael Burham are the actor’s voices.
    Creator/Author:
    Anno, Kim and Woodman, Charles
    Submitter:
    Nicki Davis
    Date Uploaded:
    03/12/2019
    Date Modified:
    03/12/2019
    Date Created:
    2017
    License:
    All rights reserved

  • Rectangular Simple Matrix

    Document thumbnail: Rectangular Simple Matrix
    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