Class information for:
Level 1: COSTAS ARRAYS//PRIMITIVE ELEMENT//GOLOMB METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21646 411 13.2 37%


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
21646 1                   COSTAS ARRAYS//PRIMITIVE ELEMENT//GOLOMB METHOD 411

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 COSTAS ARRAYS authKW 1277153 5% 90% 19
2 PRIMITIVE ELEMENT authKW 655252 5% 42% 21
3 GOLOMB METHOD authKW 520061 2% 100% 7
4 HANSEN MULLEN CONJECTURE authKW 520061 2% 100% 7
5 IRREDUCIBLE POLYNOMIALS authKW 514300 7% 23% 30
6 PRIMITIVE POLYNOMIAL authKW 481405 4% 36% 18
7 TRACE COMPATIBLE SEQUENCE authKW 445766 1% 100% 6
8 FINITE FIELDS authKW 385583 20% 6% 84
9 NORMAL BASIS authKW 376144 5% 25% 20
10 UCD CASL address 376108 2% 56% 9

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 5154 48% 0% 199
2 Mathematics, Applied 3139 35% 0% 144
3 Engineering, Ocean 665 3% 0% 14
4 Engineering, Electrical & Electronic 661 25% 0% 103
5 Telecommunications 610 11% 0% 44
6 Computer Science, Theory & Methods 481 10% 0% 41
7 Engineering, Aerospace 349 5% 0% 19
8 Audiology & Speech-Language Pathology 220 3% 0% 13
9 Acoustics 190 4% 0% 18
10 Computer Science, Information Systems 88 4% 0% 18

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 UCD CASL 376108 2% 56% 9
2 MILLIMETER WAVE OPT PROXIM SENSING TECHNOL 148589 0% 100% 2
3 STATE KEY STATE INFORMAT SECUR 148589 0% 100% 2
4 ELECT ELECT MECH ENGN 95761 5% 6% 21
5 INFORMAT AUTOMAT PROBLEMS 80577 2% 14% 8
6 AUTOMAT AUTOMAT PROBLEMS 74294 0% 100% 1
7 COMPUTO ESPECIALIZADO 74294 0% 100% 1
8 PHYS ELECT FEL 74294 0% 100% 1
9 PLICAT ALGEBRE ARITHMET 74294 0% 100% 1
10 UCD COMPLEX AD T SYST UCD CASL 74294 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 262103 15% 6% 60
2 ADVANCES IN MATHEMATICS OF COMMUNICATIONS 16470 2% 2% 9
3 DESIGNS CODES AND CRYPTOGRAPHY 12428 4% 1% 17
4 BULLETIN BRAZILIAN MATHEMATICAL SOCIETY 10612 0% 14% 1
5 IEEE JOURNAL OF OCEANIC ENGINEERING 7128 3% 1% 14
6 IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS 6233 5% 0% 19
7 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 5984 2% 1% 7
8 JOURNAL OF NUMBER THEORY 3537 4% 0% 15
9 IEEE TRANSACTIONS ON INFORMATION THEORY 2555 4% 0% 18
10 DISCRETE MATHEMATICS 2033 4% 0% 18

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 COSTAS ARRAYS 1277153 5% 90% 19 Search COSTAS+ARRAYS Search COSTAS+ARRAYS
2 PRIMITIVE ELEMENT 655252 5% 42% 21 Search PRIMITIVE+ELEMENT Search PRIMITIVE+ELEMENT
3 GOLOMB METHOD 520061 2% 100% 7 Search GOLOMB+METHOD Search GOLOMB+METHOD
4 HANSEN MULLEN CONJECTURE 520061 2% 100% 7 Search HANSEN+MULLEN+CONJECTURE Search HANSEN+MULLEN+CONJECTURE
5 IRREDUCIBLE POLYNOMIALS 514300 7% 23% 30 Search IRREDUCIBLE+POLYNOMIALS Search IRREDUCIBLE+POLYNOMIALS
6 PRIMITIVE POLYNOMIAL 481405 4% 36% 18 Search PRIMITIVE+POLYNOMIAL Search PRIMITIVE+POLYNOMIAL
7 TRACE COMPATIBLE SEQUENCE 445766 1% 100% 6 Search TRACE+COMPATIBLE+SEQUENCE Search TRACE+COMPATIBLE+SEQUENCE
8 FINITE FIELDS 385583 20% 6% 84 Search FINITE+FIELDS Search FINITE+FIELDS
9 NORMAL BASIS 376144 5% 25% 20 Search NORMAL+BASIS Search NORMAL+BASIS
10 CHARACTER SUMS OVER GALOIS RINGS 371472 1% 100% 5 Search CHARACTER+SUMS+OVER+GALOIS+RINGS Search CHARACTER+SUMS+OVER+GALOIS+RINGS

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 COHEN, SD , (2005) EXPLICIT THEOREMS ON GENERATOR POLYNOMIALS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 11. ISSUE 3. P. 337-357 42 95% 23
2 FAN, SQ , HAN, WB , FENG, KQ , ZHANG, XY , (2007) PRIMITIVE NORMAL POLYNOMIALS WITH THE FIRST TWO COEFFICIENTS PRESCRIBED: A REVISED P-ADIC METHOD.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 13. ISSUE 3. P. 577-604 19 100% 2
3 FAN, SQ , HAN, WB , FENG, KQ , (2007) PRIMITIVE NORMAL POLYNOMIALS WITH MULTIPLE COEFFICIENTS PRESCRIBED: AN ASYMPTOTIC RESULT'S.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 13. ISSUE 4. P. 1029-1044 16 100% 2
4 COHEN, SD , PRESERN, M , (2006) PRIMITIVE POLYNOMIALS WITH PRESCRIBED SECOND COEFFICIENT.GLASGOW MATHEMATICAL JOURNAL. VOL. 48. ISSUE . P. 281-307 16 100% 3
5 FAN, SQ , WANG, XZ , (2009) PRIMITIVE NORMAL POLYNOMIALS WITH A PRESCRIBED COEFFICIENT.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 15. ISSUE 6. P. 682 -730 14 100% 0
6 PANARIO, D , TZANAKIS, G , (2012) A GENERALIZATION OF THE HANSEN-MULLEN CONJECTURE ON IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 18. ISSUE 2. P. 303-315 17 74% 3
7 GAREFALAKIS, T , (2011) SELF-RECIPROCAL IRREDUCIBLE POLYNOMIALS WITH PRESCRIBED COEFFICIENTS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 17. ISSUE 2. P. 183 -193 13 100% 1
8 COHEN, SD , (2006) PRIMITIVE POLYNOMIALS WITH A PRESCRIBED COEFFICIENT.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 12. ISSUE 3. P. 425-491 14 100% 8
9 LIAO, QY , LI, JY , PU, KL , (2016) ON THE EXISTENCE FOR SOME SPECIAL PRIMITIVE ELEMENTS IN FINITE FIELDS.CHINESE ANNALS OF MATHEMATICS SERIES B. VOL. 37. ISSUE 2. P. 259 -266 11 92% 0
10 KAPETANAKIS, G , (2014) AN EXTENSION OF THE (STRONG) PRIMITIVE NORMAL BASIS THEOREM.APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. VOL. 25. ISSUE 5. P. 311 -337 12 86% 0

Classes with closest relation at Level 1


Rank Class id link
1 10317 PERMUTATION POLYNOMIAL//BENT FUNCTION//APN FUNCTIONS
2 37331 SILENT SONAR//SEA BED STRUCTURE//SEA BOTTOM ACOUSTICS
3 11693 ZERO CORRELATION ZONE//FREQUENCY HOPPING SEQUENCES//HAMMING CORRELATION
4 24868 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS
5 29164 MERIT FACTOR//LITTLEWOOD POLYNOMIALS//FEKETE POLYNOMIALS
6 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
7 7966 MIMO RADAR//MULTIPLE INPUT MULTIPLE OUTPUT MIMO RADAR//PASSIVE RADAR
8 24245 NONSINUSOIDAL WAVES//PULSED ARRAYS//UAMR R
9 15841 LINEAR COMPLEXITY//K ERROR LINEAR COMPLEXITY//MULTISEQUENCES
10 31880 ROBUST ROTATABILITY//ROBUST SLOPE ROTATABILITY//SECOND ORDER SLOPE ROTATABLE DESIGNS

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