Class information for:
Level 1: PERMUTATION POLYNOMIAL//BENT FUNCTION//APN FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10317 1074 17.7 45%


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
2567 2             LINEAR COMPLEXITY//PERMUTATION POLYNOMIAL//FINITE FIELDS AND THEIR APPLICATIONS 3707
10317 1                   PERMUTATION POLYNOMIAL//BENT FUNCTION//APN FUNCTIONS 1074

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 PERMUTATION POLYNOMIAL authKW 2425206 11% 72% 119
2 BENT FUNCTION authKW 2084951 10% 66% 111
3 APN FUNCTIONS authKW 910590 3% 97% 33
4 FINITE FIELDS AND THEIR APPLICATIONS journal 882816 17% 17% 178
5 WEIGHT DISTRIBUTION authKW 855748 8% 35% 85
6 PLANAR FUNCTION authKW 810827 3% 77% 37
7 KLOOSTERMAN SUM authKW 747631 4% 58% 45
8 CYCLIC CODES authKW 609176 9% 22% 96
9 ALMOST PERFECT NONLINEAR authKW 541519 2% 95% 20
10 CCZ EQUIVALENCE authKW 513157 2% 95% 19

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 Mathematics, Applied 15105 47% 0% 505
2 Mathematics 12622 47% 0% 504
3 Computer Science, Theory & Methods 7478 23% 0% 250
4 Computer Science, Information Systems 6127 20% 0% 214
5 Engineering, Electrical & Electronic 1253 22% 0% 234
6 Computer Science, Hardware & Architecture 168 3% 0% 27
7 Computer Science, Interdisciplinary Applications 56 3% 0% 28
8 COMPUTER APPLICATIONS & CYBERNETICS 40 0% 0% 2
9 Telecommunications 22 2% 0% 20
10 Statistics & Probability 2 1% 0% 10

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 SELMER 183391 2% 32% 20
2 STATE INFORMAT SECUR 181299 8% 8% 81
3 DIRECC GEN COMP TECNOL INFORMAC COMUNICAC 75810 0% 67% 4
4 MDBF 67675 1% 24% 10
5 GRIM 64608 0% 45% 5
6 PROV INFORMAT CODING TRANSMISS 61132 1% 13% 16
7 PROJECT CODES 37400 0% 26% 5
8 INFORMAT SECUR COMP GRID 37372 1% 12% 11
9 CNRS MATHUMR 7539 28430 0% 100% 1
10 DIRECT GEN COMPUTO TECNOL INFORMAT COMUNICAC 28430 0% 100% 1

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 FINITE FIELDS AND THEIR APPLICATIONS 882816 17% 17% 178
2 DESIGNS CODES AND CRYPTOGRAPHY 257584 12% 7% 125
3 CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES 97619 2% 15% 23
4 IEEE TRANSACTIONS ON INFORMATION THEORY 93357 16% 2% 175
5 ADVANCES IN MATHEMATICS OF COMMUNICATIONS 41161 2% 6% 23
6 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 34092 3% 4% 27
7 JOURNAL OF COMBINATORIAL THEORY SERIES A 6755 3% 1% 28
8 JOURNAL OF ALGEBRAIC COMBINATORICS 5692 1% 1% 15
9 ACTA ARITHMETICA 4640 2% 1% 23
10 SIAM JOURNAL ON DISCRETE MATHEMATICS 3531 1% 1% 16

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 PERMUTATION POLYNOMIAL 2425206 11% 72% 119 Search PERMUTATION+POLYNOMIAL Search PERMUTATION+POLYNOMIAL
2 BENT FUNCTION 2084951 10% 66% 111 Search BENT+FUNCTION Search BENT+FUNCTION
3 APN FUNCTIONS 910590 3% 97% 33 Search APN+FUNCTIONS Search APN+FUNCTIONS
4 WEIGHT DISTRIBUTION 855748 8% 35% 85 Search WEIGHT+DISTRIBUTION Search WEIGHT+DISTRIBUTION
5 PLANAR FUNCTION 810827 3% 77% 37 Search PLANAR+FUNCTION Search PLANAR+FUNCTION
6 KLOOSTERMAN SUM 747631 4% 58% 45 Search KLOOSTERMAN+SUM Search KLOOSTERMAN+SUM
7 CYCLIC CODES 609176 9% 22% 96 Search CYCLIC+CODES Search CYCLIC+CODES
8 ALMOST PERFECT NONLINEAR 541519 2% 95% 20 Search ALMOST+PERFECT+NONLINEAR Search ALMOST+PERFECT+NONLINEAR
9 CCZ EQUIVALENCE 513157 2% 95% 19 Search CCZ+EQUIVALENCE Search CCZ+EQUIVALENCE
10 PERFECT NONLINEAR FUNCTIONS 481621 2% 71% 24 Search PERFECT+NONLINEAR+FUNCTIONS Search PERFECT+NONLINEAR+FUNCTIONS

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 CARLET, C , MESNAGER, S , (2016) FOUR DECADES OF RESEARCH ON BENT FUNCTIONS.DESIGNS CODES AND CRYPTOGRAPHY. VOL. 78. ISSUE 1. P. 5 -50 88 78% 3
2 POTT, A , (2016) ALMOST PERFECT AND PLANAR FUNCTIONS.DESIGNS CODES AND CRYPTOGRAPHY. VOL. 78. ISSUE 1. P. 141 -195 84 82% 0
3 HOU, XD , (2015) PERMUTATION POLYNOMIALS OVER FINITE FIELDS - A SURVEY OF RECENT ADVANCES.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 32. ISSUE . P. 82 -119 54 95% 10
4 DING, CS , LI, CL , LI, N , ZHOU, ZC , (2016) THREE-WEIGHT CYCLIC CODES AND THEIR WEIGHT DISTRIBUTIONS.DISCRETE MATHEMATICS. VOL. 339. ISSUE 2. P. 415 -427 39 93% 2
5 DING, CS , (2015) LINEAR CODES FROM SOME 2-DESIGNS.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 61. ISSUE 6. P. 3265 -3275 28 88% 17
6 TUXANIDY, A , WANG, Q , (2017) COMPOSITIONAL INVERSES AND COMPLETE MAPPINGS OVER FINITE FIELDS.DISCRETE APPLIED MATHEMATICS. VOL. 217. ISSUE . P. 318 -329 30 100% 0
7 LI, CJ , YUE, Q , LI, FW , (2014) HAMMING WEIGHTS OF THE DUALS OF CYCLIC CODES WITH TWO ZEROS.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 60. ISSUE 7. P. 3895 -3902 28 93% 11
8 LI, CJ , YUE, Q , LI, FW , (2014) WEIGHT DISTRIBUTIONS OF CYCLIC CODES WITH RESPECT TO PAIRWISE COPRIME ORDER ELEMENTS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 28. ISSUE . P. 94-114 25 100% 15
9 LI, CJ , YUE, Q , HENG, ZL , (2015) WEIGHT DISTRIBUTIONS OF A CLASS OF CYCLIC CODES FROM F-L-CONJUGATES.ADVANCES IN MATHEMATICS OF COMMUNICATIONS. VOL. 9. ISSUE 3. P. 341 -352 32 86% 0
10 YANG, SD , YAO, ZA , ZHAO, CA , (2015) THE WEIGHT ENUMERATOR OF THE DUALS OF A CLASS OF CYCLIC CODES WITH THREE ZEROS.APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. VOL. 26. ISSUE 4. P. 347 -367 29 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 10813 BOOLEAN FUNCTIONS//ALGEBRAIC IMMUNITY//STREAM CIPHER
2 11693 ZERO CORRELATION ZONE//FREQUENCY HOPPING SEQUENCES//HAMMING CORRELATION
3 21646 COSTAS ARRAYS//PRIMITIVE ELEMENT//GOLOMB METHOD
4 9115 RELATIVE DIFFERENCE SET//SYMMETRIC DESIGN//DIFFERENCE SET
5 23999 DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM
6 33109 SPLITTING AUTHENTICATION CODE//AUTHENTICATION CODE//METERING SCHEME
7 6409 SELF DUAL CODES//CODES OVER RINGS//GRAY MAP
8 4524 PURE MATH COMP ALGEBRA//BLOCKING SET//OVOID
9 9482 ALGEBRAIC GEOMETRY CODES//ALGEBRAIC GEOMETRIC CODES//GALOIS POINT
10 32373 DECOMPOSABLE TENSORS//SYMMETRY CLASSES OF TENSORS//RANK PARTITION

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