منابع مشابه
Finite Field Arithmetic
11.1 Prime fields of odd characteristic 201 Representations and reductions • Multiplication • Inversion and division • Exponentiation • Squares and square roots 11.2 Finite fields of characteristic 2 213 Representation • Multiplication • Squaring • Inversion and division • Exponentiation • Square roots and quadratic equations 11.3 Optimal extension fields 229 Introduction • Multiplication • Exp...
متن کاملComplexity of finite field arithmetic
For integers, the parameter n is the bit-length, and for the finite field Fq we let n = log q. In the case of polynomial root-finding, d is the degree of the polynomial and we list bounds on the expected running time since these operations are most efficiently implemented using probabilistic algorithms. In Lecture 3 we addressed the cost of addition and subtraction in both Z and Fq, and the cos...
متن کاملDSP Extensions to the TRIPS ISA
In this paper, we propose a set of DSP extensions to the TRIPS ISA and evaluate their performance. By extending the TRIPS ISA with specialized DSP instructions, we offer an explorative look at the interaction conventional specialization techniques (such as SIMD instructions) have with EDGE ISAs. We discuss the implementation and its feasibility and provide non-intrusive compiler support through...
متن کاملBioinformatics Specific Cell BE ISA Extensions
Among other traditionally important application domains, bioinformatics has been recently recognized as a challenging field. The need to perform lots of processing of huge amounts of data within reasonable times demands the use of high performance computing systems. Although this kind of high performance architectures already exists and can indeed provide some speedup, efficiency levels keep be...
متن کاملFinite Field Models in Arithmetic Combinatorics
The study of many problems in additive combinatorics, such as Szemerédi’s theorem on arithmetic progressions, is made easier by first studying models for the problem in F p , for some fixed small prime p. We give a number of examples of finite field models of this type, which allows us to introduce some of the central ideas in additive combinatorics relatively cleanly. We also give an indicatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IACR Transactions on Cryptographic Hardware and Embedded Systems
سال: 2020
ISSN: 2569-2925
DOI: 10.46586/tches.v2020.i3.219-242