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Filtering by: Subject Modular arithmetic Remove constraint Subject: Modular arithmetic Degree Field Electrical and Computer Engineering Remove constraint Degree Field: Electrical and Computer Engineering

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  • Spectral modular arithmetic

    Creator:
    Saldamli, Gökay
    Abstract:
    In many areas of engineering and applied mathematics, spectral methods provide very powerful tools for solving and analyzing problems. For instance, large to extremely large sizes of numbers can efficiently be multiplied by using discrete Fourier transform and convolution property. Such computations are needed when computing π to millions of...
    Resource Type:
    Dissertation
    Full Text:
    Modular Arithmetic Abstract approved: In many areas of engineering and applied mathematics, spectral

  • Hardware design of scalable and unified modular division and Montgomery multiplication

    Creator:
    Park, Song Jun
    Abstract:
    Modular arithmetic is a basic operation for many cryptography applications such as public key cryptography, key exchange algorithms, digital signatures, and elliptic curve cryptography. Therefore, fast and efficient hardware design of modular division and multiplication is proposed for implementation of cryptography system with intent to achieve information security. The hardware...
    Resource Type:
    Masters Thesis
    Full Text:
    Kaya Koç Modular arithmetic is a basic operation for many cryptography applica- tions such as public

  • Investigating new design alternatives for a radix-2 modular multiplier kernal and I/O subsystem

    Creator:
    Chaitheerayanon, Akekalak
    Abstract:
    A main arithmetic operation for cryptographic systems is modular exponenti- ation. Exponentiation is computed by a long sequence of modular multiplications. Modular multiplication can be implemented in a general-purpose processor or a dedicated hardware, but dedicated hardware tends to be faster than a processor. Modular multiplication is a time-consuming operation,...
    Resource Type:
    Masters Thesis
    Full Text:
    systems found inside many systems. A main arithmetic operation for RSA cryptography is modular exponen