Subquadratic Space Complexity Multiplier for a Class of Binary Fields Using Toeplitz Matrix Approach

2009 19th IEEE Symposium on Computer Arithmetic ◽

10.1109/arith.2009.15 ◽

2009 ◽

Cited By ~ 2

Author(s):

M. A. Hasan ◽

C. Negre

Keyword(s):

Toeplitz Matrix ◽

Space Complexity ◽

Matrix Approach ◽

Binary Fields

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A New Representation of Elements of Binary Fields with Subquadratic Space Complexity Multiplication of Polynomials

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e96.a.2016 ◽

2013 ◽

Vol E96.A (10) ◽

pp. 2016-2024

Author(s):

Ferruh ^|^Ouml;ZBUDAK ◽

Sedat AKLEYLEK ◽

Murat CENK

Keyword(s):

Space Complexity ◽

Binary Fields

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A New Approach to Subquadratic Space Complexity Parallel Multipliers for Extended Binary Fields

IEEE Transactions on Computers ◽

10.1109/tc.2007.19 ◽

2007 ◽

Vol 56 (2) ◽

pp. 224-233 ◽

Cited By ~ 95

Author(s):

Haining Fan ◽

M. Anwar Hasan

Keyword(s):

Space Complexity ◽

New Approach ◽

Binary Fields

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Low Space Complexity Multiplication over Binary Fields with Dickson Polynomial Representation

IEEE Transactions on Computers ◽

10.1109/tc.2010.132 ◽

2011 ◽

Vol 60 (4) ◽

pp. 602-607 ◽

Cited By ~ 11

Author(s):

Anwar Hasan ◽

Christophe Negre

Keyword(s):

Space Complexity ◽

Polynomial Representation ◽

Dickson Polynomial ◽

Binary Fields

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Toeplitz Matrix Approach for Binary Field Multiplication Using Quadrinomials

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

10.1109/tvlsi.2011.2106524 ◽

2012 ◽

Vol 20 (3) ◽

pp. 449-458 ◽

Cited By ~ 6

Author(s):

M. Anwar Hasan ◽

Ashkan Hosseinzadeh Namin ◽

Christophe Negre

Keyword(s):

Toeplitz Matrix ◽

Matrix Approach ◽

Binary Field ◽

Field Multiplication

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Subquadratic Space Complexity Multiplication over Binary Fields with Dickson Polynomial Representation

Arithmetic of Finite Fields - Lecture Notes in Computer Science ◽

10.1007/978-3-540-69499-1_8 ◽

2008 ◽

pp. 88-102 ◽

Cited By ~ 4

Author(s):

M. Anwar Hasan ◽

Christophe Negre

Keyword(s):

Space Complexity ◽

Polynomial Representation ◽

Dickson Polynomial ◽

Binary Fields

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Polynomial Multiplication over Binary Fields Using Charlier Polynomial Representation with Low Space Complexity

Progress in Cryptology - INDOCRYPT 2010 - Lecture Notes in Computer Science ◽

10.1007/978-3-642-17401-8_17 ◽

2010 ◽

pp. 227-237 ◽

Cited By ~ 1

Author(s):

Sedat Akleylek ◽

Murat Cenk ◽

Ferruh Özbudak

Keyword(s):

Space Complexity ◽

Polynomial Multiplication ◽

Polynomial Representation ◽

Binary Fields ◽

Charlier Polynomial

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Block Recombination Approach for Subquadratic Space Complexity Binary Field Multiplication Based on Toeplitz Matrix-Vector Product

IEEE Transactions on Computers ◽

10.1109/tc.2010.276 ◽

2012 ◽

Vol 61 (2) ◽

pp. 151-163 ◽

Cited By ~ 25

Author(s):

M. Anwar Hasan ◽

Nicolas Meloni ◽

Ashkan H. Namin ◽

Christophe Negre

Keyword(s):

Toeplitz Matrix ◽

Space Complexity ◽

Vector Product ◽

Binary Field ◽

Field Multiplication ◽

Matrix Vector

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Novel Systolization of Subquadratic Space Complexity Multipliers Based on Toeplitz Matrix–Vector Product Approach

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

10.1109/tvlsi.2019.2903289 ◽

2019 ◽

Vol 27 (7) ◽

pp. 1614-1622 ◽

Cited By ~ 79

Author(s):

Jeng-Shyang Pan ◽

Chiou-Yng Lee ◽

Anissa Sghaier ◽

Medien Zeghid ◽

Jiafeng Xie

Keyword(s):

Toeplitz Matrix ◽

Space Complexity ◽

Vector Product ◽

Product Approach ◽

Matrix Vector

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Efficient Subquadratic Space Complexity Architectures for Parallel MPB Single- and Double-Multiplications for All Trinomials Using Toeplitz Matrix-Vector Product Decomposition

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2014.2376091 ◽

2015 ◽

Vol 62 (3) ◽

pp. 854-862 ◽

Cited By ~ 6

Author(s):

Chiou-Yng Lee ◽

Pramod Kumar Meher

Keyword(s):

Toeplitz Matrix ◽

Space Complexity ◽

Vector Product ◽

Product Decomposition ◽

Matrix Vector

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Subquadratic Space Complexity Multiplier Using Even Type GNB Based on Efficient Toeplitz Matrix-Vector Product

IEEE Transactions on Computers ◽

10.1109/tc.2018.2836425 ◽

2018 ◽

Vol 67 (12) ◽

pp. 1794-1805

Author(s):

Sun-Mi Park ◽

Ku-Young Chang ◽

Dowon Hong ◽

Changho Seo

Keyword(s):

Toeplitz Matrix ◽

Space Complexity ◽

Vector Product ◽

Matrix Vector

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