Class information for:
Level 1: PERFECT CODES//FACTORIZATION OF FINITE ABELIAN GROUPS//PERFECT BINARY CODES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24118 323 13.4 33%


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
616 3       JOURNAL OF COMBINATORIAL DESIGNS//DISCRETE MATHEMATICS//MATHEMATICS 13952
2096 2             JOURNAL OF COMBINATORIAL DESIGNS//ARS COMBINATORIA//DISCRETE MATHEMATICS 5164
24118 1                   PERFECT CODES//FACTORIZATION OF FINITE ABELIAN GROUPS//PERFECT BINARY CODES 323

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 PERFECT CODES authKW 3217120 20% 52% 66
2 FACTORIZATION OF FINITE ABELIAN GROUPS authKW 1134434 4% 100% 12
3 PERFECT BINARY CODES authKW 765741 3% 90% 9
4 EXTENDED PERFECT CODES authKW 567217 2% 100% 6
5 Z2Z4 LINEAR CODES authKW 393899 2% 83% 5
6 FULL RANK TILINGS authKW 378145 1% 100% 4
7 HAJOS REDEI THEORY authKW 378145 1% 100% 4
8 PERIODIC FACTORIZATION authKW 378145 1% 100% 4
9 REDEI PROPERTY authKW 378145 1% 100% 4
10 HADAMARD CODES authKW 350121 3% 37% 10

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 4815 53% 0% 170
2 Mathematics, Applied 2505 35% 0% 114
3 Computer Science, Theory & Methods 1772 21% 0% 67
4 Computer Science, Information Systems 719 13% 0% 41
5 Engineering, Electrical & Electronic 219 17% 0% 56
6 COMPUTER APPLICATIONS & CYBERNETICS 34 0% 0% 1
7 Statistics & Probability 2 1% 0% 4
8 Information Science & Library Science 2 1% 0% 2
9 Computer Science, Interdisciplinary Applications 0 1% 0% 3
10 Computer Science, Software Engineering -0 0% 0% 1

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 GEN SCI MATH 302514 1% 80% 4
2 BROWN SCI 117 189072 1% 100% 2
3 GEN COMP TECH 189072 1% 100% 2
4 ERICSSON RADIO 94536 0% 100% 1
5 CIVIL ENGN MATH 85078 1% 30% 3
6 SOBOLEV MATH 72645 8% 3% 27
7 DISCRETE MATH CHAIR 47267 0% 50% 1
8 KHARKEVICH INFORMAT TRANSMISS PROBLEMS 39536 3% 4% 10
9 COMMUN NETWORKING 29098 3% 3% 9
10 ALGEBRA CODING GRP 15754 0% 17% 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 PROBLEMS OF INFORMATION TRANSMISSION 218063 8% 9% 26
2 DESIGNS CODES AND CRYPTOGRAPHY 37039 8% 2% 26
3 JOURNAL OF COMBINATORIAL DESIGNS 24744 4% 2% 14
4 ADVANCES IN MATHEMATICS OF COMMUNICATIONS 20962 3% 2% 9
5 IEEE TRANSACTIONS ON INFORMATION THEORY 15397 12% 0% 39
6 ARS COMBINATORIA 11257 7% 1% 21
7 DISCRETE MATHEMATICS 9885 11% 0% 35
8 SIAM JOURNAL ON DISCRETE MATHEMATICS 9042 4% 1% 14
9 ALGEBRA COLLOQUIUM 5191 2% 1% 8
10 INTERNATIONAL JOURNAL OF ELECTRONICS 3824 4% 0% 14

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 PERFECT CODES 3217120 20% 52% 66 Search PERFECT+CODES Search PERFECT+CODES
2 FACTORIZATION OF FINITE ABELIAN GROUPS 1134434 4% 100% 12 Search FACTORIZATION+OF+FINITE+ABELIAN+GROUPS Search FACTORIZATION+OF+FINITE+ABELIAN+GROUPS
3 PERFECT BINARY CODES 765741 3% 90% 9 Search PERFECT+BINARY+CODES Search PERFECT+BINARY+CODES
4 EXTENDED PERFECT CODES 567217 2% 100% 6 Search EXTENDED+PERFECT+CODES Search EXTENDED+PERFECT+CODES
5 Z2Z4 LINEAR CODES 393899 2% 83% 5 Search Z2Z4+LINEAR+CODES Search Z2Z4+LINEAR+CODES
6 FULL RANK TILINGS 378145 1% 100% 4 Search FULL+RANK+TILINGS Search FULL+RANK+TILINGS
7 HAJOS REDEI THEORY 378145 1% 100% 4 Search HAJOS+REDEI+THEORY Search HAJOS+REDEI+THEORY
8 PERIODIC FACTORIZATION 378145 1% 100% 4 Search PERIODIC+FACTORIZATION Search PERIODIC+FACTORIZATION
9 REDEI PROPERTY 378145 1% 100% 4 Search REDEI+PROPERTY Search REDEI+PROPERTY
10 HADAMARD CODES 350121 3% 37% 10 Search HADAMARD+CODES Search HADAMARD+CODES

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 HEDEN, O , (2008) A SURVEY OF PERFECT CODES.ADVANCES IN MATHEMATICS OF COMMUNICATIONS. VOL. 2. ISSUE 2. P. 223-247 26 87% 12
2 OSTERGARD, PRJ , POTTONEN, O , PHELPS, KT , (2010) THE PERFECT BINARY ONE-ERROR-CORRECTING CODES OF LENGTH 15: PART II-PROPERTIES.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 56. ISSUE 6. P. 2571 -2582 19 83% 9
3 KROTOV, DS , VILLANUEVA, M , (2015) CLASSIFICATION OF THE Z(2)Z(4)-LINEAR HADAMARD CODES AND THEIR AUTOMORPHISM GROUPS.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 61. ISSUE 2. P. 887 -894 13 87% 0
4 SOLOV'EVA, FI , (2008) ON PERFECT BINARY CODES.DISCRETE APPLIED MATHEMATICS. VOL. 156. ISSUE 9. P. 1488-1498 14 93% 8
5 HEDEN, O , (2015) LINEAR MAPS OF PERFECT CODES AND IRREGULAR C-PARTITIONS.DISCRETE MATHEMATICS. VOL. 338. ISSUE 3. P. 149 -163 12 92% 0
6 HEDEN, O , (2009) FULL RANK PERFECT CODES AND ALPHA-KERNELS.DISCRETE MATHEMATICS. VOL. 309. ISSUE 8. P. 2202 -2216 11 100% 0
7 FERNANDEZ-CORDOBA, C , PHELPS, KT , VILLANUEVA, M , (2011) INVOLUTIONS IN BINARY PERFECT CODES.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 57. ISSUE 9. P. 5926-5932 11 92% 0
8 KROTOV, DS , (2014) A PARTITION OF THE HYPERCUBE INTO MAXIMALLY NONPARALLEL HAMMING CODES.JOURNAL OF COMBINATORIAL DESIGNS. VOL. 22. ISSUE 4. P. 179-187 10 91% 0
9 PHELPS, KT , (2013) INVOLUTIONS IN ADDITIVE 3-PERFECT CODES.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 59. ISSUE 10. P. 6593-6596 10 91% 0
10 JAIN, S , SHUM, KP , (2012) EXTENDED VARSHAMOV-GILBERT-SACKS BOUND FOR LINEAR LEE WEIGHT CODES.ALGEBRA COLLOQUIUM. VOL. 19. ISSUE . P. 893 -904 9 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 14369 PERMUTATION CODES//COVERING RADIUS//PERMUTATION ARRAYS
2 6409 SELF DUAL CODES//CODES OVER RINGS//GRAY MAP
3 32775 PERMUTATION DECODING//PD SET//ANTIBLOCKING DECODING
4 21131 LATIN SQUARE//LATIN TRADE//DEFINING SETS
5 17896 LARGE SET//T WISE BALANCED DESIGN//CANDELABRA SYSTEM
6 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
7 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
8 26728 INTEGRAT STUDIES//CONSTRUCTIVE AXIOMATIZATION//QUASIPARALLEL LINES
9 10455 DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR
10 28597 BLOCK INTERSECTION GRAPHS//INFINITE DESIGN//MITRE CONFIGURATION

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