Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 7 of 7 for “"Prime Field"”.
-
Implementation of SCA-Resistant CPU and an ECDLP Engine on FPGA Platform
… concern at both software and hardware level. The field of cryptography has been intensively researched for secure implementation techniques, methods to attack secure systems and countermeasures to avoid such attacks. In this thesis, we provide solutions for two interesting problems in the field of …
-
On The Parallelization Of Integer Polynomial Multiplication
… of polynomial multiplication, but over a prime field. This technique is used in multi-point evaluation and interpolation of polynomials with coefficients over a prime field.
-
Putting Fürer's Algorithm into Practice with the BPAS Library
… into practice for multiplying polynomials over a prime field Z/pZ, which characteristic is a Generalized Fermat prime of the form p = r^k + 1 where k is a power of 2 and r is of machine word size. When k is at least 8, we show that multiplication inside such a prime field can be efficiently …
-
Relative Springer isomorphisms and the conjugacy classes in Sylow p-subgroups of Chevalley groups
… algebraic group over the algebraically closed field \(k\). Assume \(p\) = char \(k\) > 0 is good for \(G\) and that \(G\) is defined and split over the prime field \(\char{bbold10}{0x46}_p\). For a power \(q\) of \(p\), we write \(G(q)\) for the Chevalley group consisting of the …
-
Energy-harvested Lightweight Cryptosystems
… for 80-bit and 128-bit security-levels, for prime field curves secp160r1 and nistp256. Our results show that energy cost per authentication is minimized if a microcontroller is operated at the maximum possible frequency. This is because the energy consumed by leakage (i.e., static power …
-
Elliptic Curve Cryptography on Heterogeneous Multicore Platform
Elliptic curve cryptography (ECC) is becoming the algorithm of choice for digital signature generation and authentication in embedded context. However, performance of ECC and the underlying modular arithmetic on embedded processors remains a concern. At the same time, more complex system-on-chip …
-
Design Methods for Cryptanalysis
Security of cryptographic algorithms relies on the computational difficulty of deriving the secret key using public information. Cryptanalysis, including logical and implementation attacks, plays an important role in allowing the security community to estimate their cost, based on the computational …