Low Complexity Bit-Parallel Finite Field Arithmetic Using Polynomial Basis

Cryptographic Hardware and Embedded Systems - Lecture Notes in Computer Science ◽

10.1007/3-540-48059-5_24 ◽

1999 ◽

pp. 280-291 ◽

Author(s):

Huapeng Wu

Keyword(s):

Finite Field ◽

Low Complexity ◽

Polynomial Basis ◽

Finite Field Arithmetic

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Low-complexity bit-serial sequential polynomial basis finite field GF(2m) Montgomery multipliers

Microprocessors and Microsystems ◽

10.1016/j.micpro.2021.104053 ◽

2021 ◽

Vol 84 ◽

pp. 104053

Author(s):

Siva Ramakrishna Pillutla ◽

Lakshmi Boppana

Keyword(s):

Finite Field ◽

Low Complexity ◽

Polynomial Basis ◽

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A low complexity bit parallel polynomial basis systolic multiplier for general irreducible polynomials and trinomials

Microelectronics Journal ◽

10.1016/j.mejo.2021.105163 ◽

2021 ◽

pp. 105163

Author(s):

Sakshi Devi ◽

Rita Mahajan ◽

Deepak Bagai

Keyword(s):

Low Complexity ◽

Polynomial Basis ◽

Irreducible Polynomials ◽

Systolic Multiplier

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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

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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 ◽

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

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Faster polynomial basis finite field squaring and inversion for GF(2m) with cryptographic software application

2008 International Symposium on Biometrics and Security Technologies ◽

10.1109/isbast.2008.4547661 ◽

2008 ◽

Author(s):

Athar Mahboob ◽

Nassar Ikram

Keyword(s):

Finite Field ◽

Polynomial Basis ◽

Software Application ◽

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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 ◽

Author(s):

Ronald Cramer ◽

Ivan Damgård

Keyword(s):

Finite Field ◽

Zero Knowledge ◽

Finite Field Arithmetic

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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 ◽

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

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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 ◽

Author(s):

H. Murakami ◽

I. Reed

Keyword(s):

Finite Field ◽

Finite Field Arithmetic

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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

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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 ◽

Author(s):

Gunnar Gaubatz ◽

Berk Sunar

Keyword(s):

Finite Field ◽

Fault Tolerant ◽

Public Key Cryptography ◽

Finite Field Arithmetic

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