A low-power bit-serial multiplier for finite fields GF(2m)

نویسنده

  • Johann Großschädl
چکیده

This paper presents a bit-serial architecture for efficient addition and multiplication in binary finite fields GF(2m) using a polynomial basis representation. Moreover, a low-voltage/low-power implementation of the arithmetic circuits and the registers is proposed. The introduced multiplier operates over a variety of binary fields up to an order of 2m. We detail that the bit-serial multiplier architecture can be implemented with only 28m gate equivalents, and that it is scalable, highly regular, and simple to design.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient implementation of low time complexity and pipelined bit-parallel polynomial basis multiplier over binary finite fields

This paper presents two efficient implementations of fast and pipelined bit-parallel polynomial basis multipliers over GF (2m) by irreducible pentanomials and trinomials. The architecture of the first multiplier is based on a parallel and independent computation of powers of the polynomial variable. In the second structure only even powers of the polynomial variable are used. The par...

متن کامل

Area-efficient VLSI implementation of arithmetic operations in binary finite fields GF( )

This paper presents a bit-serial architecture for efficient addition and multiplication in binary finite fields GF( ) using a polynomial basis representation. Moreover, a low-power implementation of the arithmetic circuits and the registers is proposed. The introduced multiplier operates over a wide range of binary finite fields up to an order of . It is detailed that the bit-serial multiplier ...

متن کامل

A Versatile and Scalable Digit-Serial/Parallel Multiplier Architecture for Finite Fields GF(2m)

We present an architecture for digit-serial multiplication in finite fields GF(2m) with applications to cryptography. The proposed design uses polynomial basis representation and interleaves multiplication steps with degree reduction steps. An M-bit multiplier works with arbitrary irreducible polynomials and can be used for any binary field of order 2m ≤ 2M . We introduce a new method for degre...

متن کامل

Bit-level pipelined digit serial GF(2m) multiplier

A low latency digit serial multiplier for GF(2m) that can be pipelined to the bit-level is presented in this paper. Unlike existing structures, the new multiplier does not put any restriction on the type of generator polynomial used or the digit size. Furthermore, the latency of the new multiplier is significantly less than the latency of the existing bit-level pipelined digit-serial multiplier...

متن کامل

Low-Power Design of a Functional Unit for Arithmetic in Finite Fields GF(p) and GF(2m)

Recent multi-application smart cards are equipped with powerful 32-bit RISC cores clocked at 33 MHz or even more. They are able to support a variety of public-key cryptosystems, including elliptic curve systems over prime fields GF(p) and binary fields GF(2) of arbitrary order. This flexibility is achieved by implementing the cryptographic primitives in software and taking advantage of dedicate...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001