Low complexity bit-parallel multipliers for a class of finite fields

New implementations of bit-parallel multipliers for a class of finite fields are proposed. The class of finite fields is constructed with irreducible AOPs (all one polynomials) and ESPs (equally spaced polynomials). The size and time complexities of our proposed multipliers are lower than or equal t...

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Published in:IEEE transactions on computers Vol. 47; no. 8; pp. 883 - 887
Main Authors: Huapeng Wu, Hasan, M.A.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.08.1998
Institute of Electrical and Electronics Engineers
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ISSN:0018-9340
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Abstract New implementations of bit-parallel multipliers for a class of finite fields are proposed. The class of finite fields is constructed with irreducible AOPs (all one polynomials) and ESPs (equally spaced polynomials). The size and time complexities of our proposed multipliers are lower than or equal to those of the previously proposed multipliers of the same class.
AbstractList New implementations of bit-parallel multipliers for a class of finite fields are proposed. The class of finite fields is constructed with irreducible AOPs (all one polynomials) and ESPs (equally spaced polynomials). The size and time complexities of our proposed multipliers are lower than or equal to those of the previously proposed multipliers of the same class.
New implementations of bit-parallel multipliers for a class of finite fields are proposed. The class of finite fields is constructed with irreducible AOPs (all one polynomials) and ESPs (equally spaced polynomials). The size and time complexities of our proposed multipliers are lower than or equal to those of the previously proposed multipliers of the same class
Author Huapeng Wu
Hasan, M.A.
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Cites_doi 10.1016/0166-218X(88)90090-X
10.1109/12.257715
10.1007/3-540-47555-9_14
10.1109/18.45274
10.1109/TIT.1982.1056591
10.1109/12.485570
10.1109/12.156539
10.1016/0890-5401(89)90045-X
10.1109/TC.1985.1676616
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Keywords Integrated circuits
Multiplier
Finite field
Implementation
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References bibt08831
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bibt08836
bibt08839
lidl (bibt08837) 1983
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– ident: bibt08832
  doi: 10.1109/12.485570
– year: 1983
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  publication-title: Finite Fields
– ident: bibt08834
  doi: 10.1109/12.156539
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  doi: 10.1016/0890-5401(89)90045-X
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SubjectTerms Applied sciences
Cryptography
Design. Technologies. Operation analysis. Testing
Electronics
Electrostatic precipitators
Exact sciences and technology
Galois fields
Integrated circuits
Message-oriented middleware
Polynomials
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Title Low complexity bit-parallel multipliers for a class of finite fields
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