Class information for:
Level 1: SCALAR MULTIPLICATION//ELLIPTIC CURVE CRYPTOGRAPHY//ELLIPTIC CURVE CRYPTOSYSTEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
1500 2624 20.5 41%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
295 3       CRYPTOGRAPHY//COMPUTER SCIENCE, THEORY & METHODS//IEEE TRANSACTIONS ON INFORMATION THEORY 41419
1707 2             JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS 6697
1500 1                   SCALAR MULTIPLICATION//ELLIPTIC CURVE CRYPTOGRAPHY//ELLIPTIC CURVE CRYPTOSYSTEM 2624

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 SCALAR MULTIPLICATION authKW 1083119 4% 97% 96
2 ELLIPTIC CURVE CRYPTOGRAPHY authKW 791788 5% 52% 132
3 ELLIPTIC CURVE CRYPTOSYSTEM authKW 730262 4% 59% 106
4 MODULAR MULTIPLICATION authKW 685726 3% 78% 76
5 FINITE FIELD ARITHMETIC authKW 586595 2% 92% 55
6 TATE PAIRING authKW 527086 2% 92% 49
7 MONTGOMERY MULTIPLICATION authKW 524343 2% 87% 52
8 ELLIPTIC CURVES authKW 501255 9% 19% 230
9 FINITE FIELDS authKW 456469 9% 17% 231
10 MODULAR EXPONENTIATION authKW 425123 2% 70% 52

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Computer Science, Hardware & Architecture 61994 27% 1% 719
2 Computer Science, Theory & Methods 47387 37% 0% 972
3 Computer Science, Information Systems 12004 18% 0% 470
4 Mathematics, Applied 9311 24% 0% 639
5 Engineering, Electrical & Electronic 8521 34% 0% 901
6 Computer Science, Software Engineering 2360 7% 0% 193
7 Mathematics 1487 12% 0% 306
8 Telecommunications 447 4% 0% 107
9 Computer Science, Artificial Intelligence 126 2% 0% 64
10 Computer Science, Interdisciplinary Applications 113 2% 0% 64

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 COMP INFORMAT NETWORK ENGN 252780 1% 56% 39
2 PL CRYPTOG 119991 1% 54% 19
3 GRMS CRYPTO GRP 94243 0% 90% 9
4 SYST ENGN COMPUTAT 90801 1% 35% 22
5 EQUIPE DALI 82737 0% 89% 8
6 CRYPTOG SECT 69811 0% 100% 6
7 CARD SECUR GRP 67311 0% 64% 9
8 OPTIMISAT DISCRETE MATH MATH B 58176 0% 100% 5
9 SYST DEV 52307 1% 15% 30
10 PROGRAM COORDINAT 46541 0% 100% 4

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 IEEE TRANSACTIONS ON COMPUTERS 90801 8% 4% 201
2 LECTURE NOTES IN COMPUTER SCIENCE 50412 24% 1% 621
3 JOURNAL OF CRYPTOLOGY 48928 2% 10% 43
4 LMS JOURNAL OF COMPUTATION AND MATHEMATICS 46485 1% 13% 32
5 MATHEMATICS OF COMPUTATION 39311 4% 3% 116
6 IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES 34103 6% 2% 153
7 ADVANCES IN MATHEMATICS OF COMMUNICATIONS 24940 1% 8% 28
8 DESIGNS CODES AND CRYPTOGRAPHY 24195 2% 3% 60
9 FINITE FIELDS AND THEIR APPLICATIONS 17275 1% 4% 39
10 IEEE TRANSACTIONS ON VERY LARGE SCALE INTEGRATION (VLSI) SYSTEMS 13107 2% 2% 62

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 SCALAR MULTIPLICATION 1083119 4% 97% 96 Search SCALAR+MULTIPLICATION Search SCALAR+MULTIPLICATION
2 ELLIPTIC CURVE CRYPTOGRAPHY 791788 5% 52% 132 Search ELLIPTIC+CURVE+CRYPTOGRAPHY Search ELLIPTIC+CURVE+CRYPTOGRAPHY
3 ELLIPTIC CURVE CRYPTOSYSTEM 730262 4% 59% 106 Search ELLIPTIC+CURVE+CRYPTOSYSTEM Search ELLIPTIC+CURVE+CRYPTOSYSTEM
4 MODULAR MULTIPLICATION 685726 3% 78% 76 Search MODULAR+MULTIPLICATION Search MODULAR+MULTIPLICATION
5 FINITE FIELD ARITHMETIC 586595 2% 92% 55 Search FINITE+FIELD+ARITHMETIC Search FINITE+FIELD+ARITHMETIC
6 TATE PAIRING 527086 2% 92% 49 Search TATE+PAIRING Search TATE+PAIRING
7 MONTGOMERY MULTIPLICATION 524343 2% 87% 52 Search MONTGOMERY+MULTIPLICATION Search MONTGOMERY+MULTIPLICATION
8 ELLIPTIC CURVES 501255 9% 19% 230 Search ELLIPTIC+CURVES Search ELLIPTIC+CURVES
9 FINITE FIELDS 456469 9% 17% 231 Search FINITE+FIELDS Search FINITE+FIELDS
10 MODULAR EXPONENTIATION 425123 2% 70% 52 Search MODULAR+EXPONENTIATION Search MODULAR+EXPONENTIATION

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 FAN, HN , HASAN, MA , (2015) A SURVEY OF SOME RECENT BIT-PARALLEL GF(2(N)) MULTIPLIERS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 32. ISSUE . P. 5 -43 94 93% 6
2 ORS, SB , PRENEEL, B , VANDEWALLE, J , BATINA, L , (2003) HARDWARE ARCHITECTURES FOR PUBLIC KEY CRYPTOGRAPHY.INTEGRATION-THE VLSI JOURNAL. VOL. 34. ISSUE 1-2. P. 1 -64 93 89% 27
3 GALBRAITH, S , MENEZES, A , (2005) ALGEBRAIC CURVES AND CRYPTOGRAPHY.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 11. ISSUE 3. P. 544 -577 57 89% 3
4 MARZOUQI, H , AL-QUTAYRI, M , SALAH, K , (2015) REVIEW OF ELLIPTIC CURVE CRYPTOGRAPHY PROCESSOR DESIGNS.MICROPROCESSORS AND MICROSYSTEMS. VOL. 39. ISSUE 2. P. 97 -112 35 92% 2
5 FREEMAN, D , SCOTT, M , TESKE, E , (2010) A TAXONOMY OF PAIRING-FRIENDLY ELLIPTIC CURVES.JOURNAL OF CRYPTOLOGY. VOL. 23. ISSUE 2. P. 224 -280 33 80% 100
6 HUA, YY , LIN, JM , CHIOU, CW , LEE, CY , LIU, YH , (2013) LOW SPACE-COMPLEXITY DIGIT-SERIAL DUAL BASIS SYSTOLIC MULTIPLIER OVER GALOIS FIELD GF(2(M)) USING HANKEL MATRIX AND KARATSUBA ALGORITHM.IET INFORMATION SECURITY. VOL. 7. ISSUE 2. P. 75 -86 31 100% 2
7 RASHIDI, B , SAYEDI, SM , FARASHAHI, RR , (2016) HIGH-SPEED HARDWARE ARCHITECTURE OF SCALAR MULTIPLICATION FOR BINARY ELLIPTIC CURVE CRYPTOSYSTEMS.MICROELECTRONICS JOURNAL. VOL. 52. ISSUE . P. 49 -65 28 100% 0
8 CHIOU, CW , CHUANG, TP , LIN, SS , LEE, CY , LIN, JM , YEH, YC , (2012) PALINDROMIC-LIKE REPRESENTATION FOR GAUSSIAN NORMAL BASIS MULTIPLIER OVER GF(2(M)) WITH ODD TYPE T.IET INFORMATION SECURITY. VOL. 6. ISSUE 4. P. 318-323 29 100% 0
9 HUANG, WT , CHANG, CH , CHIOU, CW , TAN, SY , (2011) NON-XOR APPROACH FOR LOW-COST BIT-PARALLEL POLYNOMIAL BASIS MULTIPLIER OVER GF(2(M)).IET INFORMATION SECURITY. VOL. 5. ISSUE 3. P. 152 -162 29 100% 5
10 FOURNARIS, AP , ZAFEIRAKIS, I , KITSOS, P , KOUFOPAVLOU, O , (2015) COMPARING DESIGN APPROACHES FOR ELLIPTIC CURVE POINT MULTIPLICATION OVER GF(2(K)) WITH POLYNOMIAL BASIS REPRESENTATION.MICROPROCESSORS AND MICROSYSTEMS. VOL. 39. ISSUE 8. P. 1139 -1155 27 96% 0

Classes with closest relation at Level 1



Rank Class id link
1 13312 SIDE CHANNEL ATTACKS//ADVANCED ENCRYPTION STANDARD AES//SIDE CHANNEL ANALYSIS
2 23509 TERNARY CYCLOTOMIC POLYNOMIAL//NUMBER FIELD SIEVE//POLYNOMIAL SELECTION
3 14836 COPPERSMITHS METHOD//LATTICE BASIS REDUCTION//NTRU
4 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
5 414 DIGITAL SIGNATURE//BILINEAR PAIRING//PROXY SIGNATURE
6 24944 COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS
7 19455 REED SOLOMON CODES//LIST DECODING//REED SOLOMON RS CODES
8 15088 RESIDUE NUMBER SYSTEM//RESIDUE NUMBER SYSTEM RNS//RESIDUE ARITHMETIC
9 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
10 21646 COSTAS ARRAYS//PRIMITIVE ELEMENT//GOLOMB METHOD

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