Efficient Design of Finite Field Arithmetic on FPGAs

Efficient Hardware Implementation of Finite Field Arithmetic AB + C over Hybrid Fields for Post-Quantum Cryptography

IEEE Transactions on Emerging Topics in Computing ◽

10.1109/tetc.2021.3091982 ◽

2021 ◽

pp. 1-1

Author(s):

Jiafeng Xie ◽

Pengzhou He ◽

Xiaofang Maggie Wang ◽

Jose Luis Imana

Keyword(s):

Finite Field ◽

Quantum Cryptography ◽

Hardware Implementation ◽

Finite Field Arithmetic ◽

Post Quantum Cryptography

A tightly coupled finite field arithmetic hardware in an FPGA-based embedded processor core for elliptic curve cryptography

International Journal of Information and Communication Technology ◽

10.1504/ijict.2009.026430 ◽

2009 ◽

Vol 2 (1/2) ◽

pp. 60 ◽

Cited By ~ 2

Author(s):

M. Khalil Hani ◽

A. Irwansyah ◽

Y.W. Hau

Keyword(s):

Finite Field ◽

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Embedded Processor ◽

Processor Core ◽

Finite Field Arithmetic ◽

Tightly Coupled

Zero-knowledge proofs for finite field arithmetic, or: Can zero-knowledge be for free?

Advances in Cryptology — CRYPTO '98 - Lecture Notes in Computer Science ◽

10.1007/bfb0055745 ◽

1998 ◽

pp. 424-441 ◽

Cited By ~ 67

Author(s):

Ronald Cramer ◽

Ivan Damgård

Keyword(s):

Finite Field ◽

Zero Knowledge ◽

Finite Field Arithmetic

Implementation of Finite Field Arithmetic Operations for Polynomial and Normal Basis Representations

Proceedings of the 3rd International Conference on Computation for Science and Technology ◽

10.2991/iccst-15.2015.25 ◽

2015 ◽

Cited By ~ 1

Author(s):

Mirza Maulana ◽

Wenny Franciska Senjaya ◽

Budi Rahardjo ◽

Intan Muchtadi-Alamsyah ◽

Marisa W. Paryasto

Keyword(s):

Finite Field ◽

Normal Basis ◽

Arithmetic Operations ◽

Finite Field Arithmetic ◽

Basis Representations

Recursive realization of finite impulse filters using finite field arithmetic

IEEE Transactions on Information Theory ◽

10.1109/tit.1977.1055697 ◽

1977 ◽

Vol 23 (2) ◽

pp. 232-242 ◽

Cited By ~ 7

Author(s):

H. Murakami ◽

I. Reed

Keyword(s):

Finite Field ◽

Finite Field Arithmetic

A tightly coupled finite field arithmetic hardware in an FPGA-based embedded processor core for elliptic curve cryptography

10.1109/iced.2008.4786692 ◽

2008 ◽

Author(s):

Mohamed Khalil-Hani ◽

Arif Irwansyah ◽

Y.W. Hau

Keyword(s):

Finite Field ◽

Elliptic Curve ◽

Elliptic Curve Cryptography ◽

Embedded Processor ◽

Processor Core ◽

Finite Field Arithmetic ◽

Tightly Coupled

Robust Finite Field Arithmetic for Fault-Tolerant Public-Key Cryptography

Lecture Notes in Computer Science - Fault Diagnosis and Tolerance in Cryptography ◽

10.1007/11889700_18 ◽

2006 ◽

pp. 196-210 ◽

Cited By ~ 18

Author(s):

Gunnar Gaubatz ◽

Berk Sunar

Keyword(s):

Finite Field ◽

Fault Tolerant ◽

Public Key Cryptography ◽

Public Key ◽

Finite Field Arithmetic

Efficient semisystolic architectures for finite-field arithmetic

IEEE Transactions on Very Large Scale Integration (VLSI) Systems ◽

10.1109/92.661252 ◽

1998 ◽

Vol 6 (1) ◽

pp. 101-113 ◽

Cited By ~ 101

Author(s):

S.K. Jain ◽

L. Song ◽

K.K. Parhi

Keyword(s):

Finite Field ◽

Finite Field Arithmetic

A Novel Time and Energy Efficient Cubing Circuit Using Vedic Mathematics for Finite Field Arithmetic

2009 International Conference on Advances in Recent Technologies in Communication and Computing ◽

10.1109/artcom.2009.227 ◽

2009 ◽

Cited By ~ 2

Author(s):

Ramalatha M. ◽

Thanushkodi K. ◽

Deena Dayalan K. ◽

Dharani P.

Keyword(s):

Finite Field ◽

Energy Efficient ◽

Vedic Mathematics ◽

Finite Field Arithmetic ◽

Time And Energy

Concurrent Error Detection in Finite-Field Arithmetic Operations Using Pipelined and Systolic Architectures

IEEE Transactions on Computers ◽

10.1109/tc.2009.62 ◽

2009 ◽

Vol 58 (11) ◽

pp. 1553-1567 ◽

Cited By ~ 25

Author(s):

Siavash Bayat-Sarmadi ◽

M.A. Hasan

Keyword(s):

Finite Field ◽

Error Detection ◽

Concurrent Error Detection ◽

Arithmetic Operations ◽

Finite Field Arithmetic