Class information for:
Level 1: SELF DUAL CODES//CODES OVER RINGS//GRAY MAP

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
6409 1489 15.7 43%



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
1044 2             NETWORK CODING//LOW DENSITY PARITY CHECK LDPC CODES//ITERATIVE DECODING 10120
6409 1                   SELF DUAL CODES//CODES OVER RINGS//GRAY MAP 1489

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 SELF DUAL CODES authKW 4362530 16% 88% 241
2 CODES OVER RINGS authKW 1235770 5% 87% 69
3 GRAY MAP authKW 1096904 5% 78% 69
4 CYCLIC CODES authKW 988656 10% 33% 144
5 QUASI CYCLIC CODES authKW 916334 5% 62% 72
6 CONSTACYCLIC CODES authKW 881203 4% 73% 59
7 EXTREMAL CODE authKW 781162 3% 95% 40
8 FINITE CHAIN RING authKW 607798 2% 87% 34
9 EXTREMAL SELF DUAL CODES authKW 533876 2% 96% 27
10 DUAL CODES authKW 530798 3% 54% 48

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 17112 43% 0% 635
2 Mathematics 15936 45% 0% 668
3 Computer Science, Theory & Methods 11863 25% 0% 370
4 Computer Science, Information Systems 7760 19% 0% 284
5 Engineering, Electrical & Electronic 1670 21% 0% 319
6 Computer Science, Interdisciplinary Applications 182 4% 0% 54
7 Mathematics, Interdisciplinary Applications 74 2% 0% 31
8 Computer Science, Hardware & Architecture 58 1% 0% 21
9 Automation & Control Systems 19 1% 0% 17
10 Statistics & Probability 15 1% 0% 20

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 ADIYAMAN EDUC 85438 0% 83% 5
2 GECT 73815 0% 60% 6
3 ESSI 55406 1% 27% 10
4 ESSI I3S 41011 0% 100% 2
5 MATH 33 41011 0% 100% 2
6 MATH WE01 41011 0% 100% 2
7 ADV STUDY MATH 33920 1% 14% 12
8 LEHRSTUHL MATH D 31622 1% 11% 14
9 CNRS LAGA 30755 0% 50% 3
10 GRIM 29821 0% 36% 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 DESIGNS CODES AND CRYPTOGRAPHY 381003 12% 10% 179
2 FINITE FIELDS AND THEIR APPLICATIONS 360746 9% 13% 134
3 ADVANCES IN MATHEMATICS OF COMMUNICATIONS 275168 5% 19% 70
4 IEEE TRANSACTIONS ON INFORMATION THEORY 148675 17% 3% 260
5 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 98410 4% 9% 54
6 DISCRETE MATHEMATICS 37283 10% 1% 146
7 JOURNAL OF COMBINATORIAL THEORY SERIES A 15564 3% 2% 50
8 ARS COMBINATORIA 6738 2% 1% 35
9 JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 3613 1% 1% 12
10 EUROPEAN JOURNAL OF COMBINATORICS 2909 1% 1% 21

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 SELF DUAL CODES 4362530 16% 88% 241 Search SELF+DUAL+CODES Search SELF+DUAL+CODES
2 CODES OVER RINGS 1235770 5% 87% 69 Search CODES+OVER+RINGS Search CODES+OVER+RINGS
3 GRAY MAP 1096904 5% 78% 69 Search GRAY+MAP Search GRAY+MAP
4 CYCLIC CODES 988656 10% 33% 144 Search CYCLIC+CODES Search CYCLIC+CODES
5 QUASI CYCLIC CODES 916334 5% 62% 72 Search QUASI+CYCLIC+CODES Search QUASI+CYCLIC+CODES
6 CONSTACYCLIC CODES 881203 4% 73% 59 Search CONSTACYCLIC+CODES Search CONSTACYCLIC+CODES
7 EXTREMAL CODE 781162 3% 95% 40 Search EXTREMAL+CODE Search EXTREMAL+CODE
8 FINITE CHAIN RING 607798 2% 87% 34 Search FINITE+CHAIN+RING Search FINITE+CHAIN+RING
9 EXTREMAL SELF DUAL CODES 533876 2% 96% 27 Search EXTREMAL+SELF+DUAL+CODES Search EXTREMAL+SELF+DUAL+CODES
10 DUAL CODES 530798 3% 54% 48 Search DUAL+CODES Search DUAL+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 HUFFMAN, WC , (2005) ON THE CLASSIFICATION AND ENUMERATION OF SELF-DUAL CODES.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 11. ISSUE 3. P. 451-490 89 99% 74
2 SOBHANI, R , (2015) COMPLETE CLASSIFICATION OF (DELTA PLUS ALPHA U(2))-CONSTACYCLIC CODES OF LENGTH P(K) OVER F-PM + UF(PM) + U(2)F(PM).FINITE FIELDS AND THEIR APPLICATIONS. VOL. 34. ISSUE . P. 123 -138 30 100% 1
3 DINH, HQ , LIU, HW , LIU, XS , SRIBOONCHITTA, S , (2017) ON STRUCTURE AND DISTANCES OF SOME CLASSES OF REPEATED-ROOT CONSTACYCLIC CODES OVER GALOIS RINGS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 43. ISSUE . P. 86 -105 29 91% 0
4 ZHANG, T , MICHEL, J , FENG, T , GE, GN , (2015) ON THE EXISTENCE OF CERTAIN OPTIMAL SELF-DUAL CODES WITH LENGTHS BETWEEN 74 AND 116.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 22. ISSUE 4. P. - 28 97% 0
5 CHEN, BC , DINH, HQ , LIU, HW , WANG, LQ , (2016) CONSTACYCLIC CODES OF LENGTH 2P(S) OVER F-PM + UF(PM).FINITE FIELDS AND THEIR APPLICATIONS. VOL. 37. ISSUE . P. 108 -130 26 100% 0
6 DINH, HQ , NGUYEN, HDT , SRIBOONCHITTA, S , VO, TM , (2017) REPEATED-ROOT CONSTACYCLIC CODES OF PRIME POWER LENGTHS OVER FINITE CHAIN RINGS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 43. ISSUE . P. 22 -41 22 100% 0
7 CHEN, BC , DINH, HQ , LIU, HW , (2015) REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 2L(M)P(N).FINITE FIELDS AND THEIR APPLICATIONS. VOL. 33. ISSUE . P. 137 -159 21 100% 4
8 DINH, HQ , DHOMPONGSA, S , SRIBOONCHITTA, S , (2017) ON CONSTACYCLIC CODES OF LENGTH 4P(S) OVER F(P)M + UF(P)M.DISCRETE MATHEMATICS. VOL. 340. ISSUE 4. P. 832 -849 21 100% 0
9 DINH, HQ , WANG, LQ , ZHU, SX , (2015) NEGACYCLIC CODES OF LENGTH 2P(S) OVER FP(M) + UFP(M).FINITE FIELDS AND THEIR APPLICATIONS. VOL. 31. ISSUE . P. 178 -201 21 100% 1
10 KIM, HJ , (2014) SELF-DUAL CODES AND FIXED-POINT-FREE PERMUTATIONS OF ORDER 2.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 51. ISSUE 4. P. 1175 -1186 21 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 12227 SOFT DECISION DECODING//TRELLIS COMPLEXITY//WEIGHT HIERARCHY
2 32775 PERMUTATION DECODING//PD SET//ANTIBLOCKING DECODING
3 24118 PERFECT CODES//FACTORIZATION OF FINITE ABELIAN GROUPS//PERFECT BINARY CODES
4 9115 RELATIVE DIFFERENCE SET//SYMMETRIC DESIGN//DIFFERENCE SET
5 31672 MCELIECE CRYPTOSYSTEM//MCELIECE//GOPPA CODES
6 14369 PERMUTATION CODES//COVERING RADIUS//PERMUTATION ARRAYS
7 10317 PERMUTATION POLYNOMIAL//BENT FUNCTION//APN FUNCTIONS
8 4524 PURE MATH COMP ALGEBRA//BLOCKING SET//OVOID
9 5604 QUANTUM CODES//QUANTUM ERROR CORRECTION//QUANTUM ERROR CORRECTING CODES
10 19455 REED SOLOMON CODES//LIST DECODING//REED SOLOMON RS CODES

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