Class information for:
Level 1: TERNARY CYCLOTOMIC POLYNOMIAL//NUMBER FIELD SIEVE//POLYNOMIAL SELECTION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23509 344 17.7 28%



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
23509 1                   TERNARY CYCLOTOMIC POLYNOMIAL//NUMBER FIELD SIEVE//POLYNOMIAL SELECTION 344

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 TERNARY CYCLOTOMIC POLYNOMIAL authKW 887649 3% 100% 10
2 NUMBER FIELD SIEVE authKW 576959 4% 50% 13
3 POLYNOMIAL SELECTION authKW 399439 2% 75% 6
4 COEFFICIENTS OF CYCLOTOMIC POLYNOMIALS authKW 266295 1% 100% 3
5 FLAT CYCLOTOMIC POLYNOMIAL authKW 266295 1% 100% 3
6 INTEGER GREATEST COMMON DIVISOR GCD authKW 266295 1% 100% 3
7 HERMITE NORMAL FORM authKW 256772 3% 32% 9
8 INTEGER MATRIX authKW 213029 2% 40% 6
9 RATIONAL ARITHMETIC authKW 202888 1% 57% 4
10 EXACT LINEAR ALGEBRA authKW 199720 1% 75% 3

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, Theory & Methods 8197 42% 0% 146
2 Mathematics, Applied 4792 47% 0% 161
3 Mathematics 1575 30% 0% 103
4 Computer Science, Software Engineering 301 7% 0% 25
5 Computer Science, Information Systems 252 8% 0% 26
6 Computer Science, Hardware & Architecture 133 4% 0% 13
7 Logic 49 1% 0% 3
8 Operations Research & Management Science 40 3% 0% 10
9 Computer Science, Interdisciplinary Applications 38 3% 0% 12
10 Automation & Control Systems 30 2% 0% 8

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 ANOEDP 88765 0% 100% 1
2 ARBEITS GRP SYSTEMSICHERHEIT 88765 0% 100% 1
3 CLOUD COMP TECHNOL 88765 0% 100% 1
4 CNRSGRENOBLE INPUJFUPMF 88765 0% 100% 1
5 HGRP PRAKT INFORMAT 88765 0% 100% 1
6 INRIA CNRS LORIA 88765 0% 100% 1
7 INRIA MOAIS 88765 0% 100% 1
8 INRIAUCBLENS LYON LIP 88765 0% 100% 1
9 SITX IT OURCES 88765 0% 100% 1
10 UFR SCI TECH MATH 88765 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 JOURNAL OF SYMBOLIC COMPUTATION 110616 15% 2% 53
2 JOURNAL OF NUMBER THEORY 6100 5% 0% 18
3 JOURNAL OF ALGORITHMS 4219 1% 1% 4
4 MATHEMATICS OF COMPUTATION 3204 3% 0% 12
5 LMS JOURNAL OF COMPUTATION AND MATHEMATICS 3115 1% 1% 3
6 LINEAR ALGEBRA AND ITS APPLICATIONS 3065 6% 0% 20
7 LECTURE NOTES IN COMPUTER SCIENCE 2765 15% 0% 53
8 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 2748 2% 1% 6
9 SIAM JOURNAL ON COMPUTING 2479 3% 0% 9
10 COMPUTATIONAL COMPLEXITY 2415 1% 1% 3

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 TERNARY CYCLOTOMIC POLYNOMIAL 887649 3% 100% 10 Search TERNARY+CYCLOTOMIC+POLYNOMIAL Search TERNARY+CYCLOTOMIC+POLYNOMIAL
2 NUMBER FIELD SIEVE 576959 4% 50% 13 Search NUMBER+FIELD+SIEVE Search NUMBER+FIELD+SIEVE
3 POLYNOMIAL SELECTION 399439 2% 75% 6 Search POLYNOMIAL+SELECTION Search POLYNOMIAL+SELECTION
4 COEFFICIENTS OF CYCLOTOMIC POLYNOMIALS 266295 1% 100% 3 Search COEFFICIENTS+OF+CYCLOTOMIC+POLYNOMIALS Search COEFFICIENTS+OF+CYCLOTOMIC+POLYNOMIALS
5 FLAT CYCLOTOMIC POLYNOMIAL 266295 1% 100% 3 Search FLAT+CYCLOTOMIC+POLYNOMIAL Search FLAT+CYCLOTOMIC+POLYNOMIAL
6 INTEGER GREATEST COMMON DIVISOR GCD 266295 1% 100% 3 Search INTEGER+GREATEST+COMMON+DIVISOR+GCD Search INTEGER+GREATEST+COMMON+DIVISOR+GCD
7 HERMITE NORMAL FORM 256772 3% 32% 9 Search HERMITE+NORMAL+FORM Search HERMITE+NORMAL+FORM
8 INTEGER MATRIX 213029 2% 40% 6 Search INTEGER+MATRIX Search INTEGER+MATRIX
9 RATIONAL ARITHMETIC 202888 1% 57% 4 Search RATIONAL+ARITHMETIC Search RATIONAL+ARITHMETIC
10 EXACT LINEAR ALGEBRA 199720 1% 75% 3 Search EXACT+LINEAR+ALGEBRA Search EXACT+LINEAR+ALGEBRA

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 ZHANG, B , ZHOU, Y , (2015) ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 6. P. 1911 -1924 12 100% 0
2 GUPTA, S , SARKAR, S , STORJOHANN, A , VALERIOTE, J , (2012) TRIANGULAR X-BASIS DECOMPOSITIONS AND DERANDOMIZATION OF LINEAR ALGEBRA ALGORITHMS OVER K[X].JOURNAL OF SYMBOLIC COMPUTATION. VOL. 47. ISSUE 4. P. 422-453 11 85% 2
3 CAMBURU, OM , CIOLAN, EA , LUCA, F , MOREE, P , SHPARLINSKI, IE , (2016) CYCLOTOMIC COEFFICIENTS: GAPS AND JUMPS.JOURNAL OF NUMBER THEORY. VOL. 163. ISSUE . P. 211 -237 13 62% 0
4 COOK, W , STEFFY, DE , (2011) SOLVING VERY SPARSE RATIONAL SYSTEMS OF EQUATIONS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 37. ISSUE 4. P. - 14 64% 0
5 YU, B , ZHANG, JT , XU, YY , (2015) THE RCH METHOD FOR COMPUTING MINIMAL POLYNOMIALS OF POLYNOMIAL MATRICES.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY. VOL. 28. ISSUE 1. P. 190 -209 9 90% 0
6 ESCOBEDO, AR , MORENO-CENTENO, E , (2015) ROUNDOFF-ERROR-FREE ALGORITHMS FOR SOLVING LINEAR SYSTEMS VIA CHOLESKY AND LU FACTORIZATIONS.INFORMS JOURNAL ON COMPUTING. VOL. 27. ISSUE 4. P. 677 -689 9 90% 0
7 STORJOHANN, A , (2015) ON THE COMPLEXITY OF INVERTING INTEGER AND POLYNOMIAL MATRICES.COMPUTATIONAL COMPLEXITY. VOL. 24. ISSUE 4. P. 777 -821 9 90% 0
8 GIESBRECHT, M , (2001) FAST COMPUTATION OF THE SMITH FORM OF A SPARSE INTEGER MATRIX.COMPUTATIONAL COMPLEXITY. VOL. 10. ISSUE 1. P. 41-69 12 92% 9
9 STORJOHANN, A , (2005) THE SHIFTED NUMBER SYSTEM FOR FAST LINEAR ALGEBRA ON INTEGER MATRICES.JOURNAL OF COMPLEXITY. VOL. 21. ISSUE 4. P. 609 -650 13 72% 15
10 JAGER, G , WAGNER, C , (2009) EFFICIENT PARALLELIZATIONS OF HERMITE AND SMITH NORMAL FORM ALGORITHMS.PARALLEL COMPUTING. VOL. 35. ISSUE 6. P. 345-357 10 83% 2

Classes with closest relation at Level 1



Rank Class id link
1 27012 TRIANGLE COUNTING//TRIANGLE LISTING//QUADRATIC ALGORITHMS
2 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
3 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS
4 1500 SCALAR MULTIPLICATION//ELLIPTIC CURVE CRYPTOGRAPHY//ELLIPTIC CURVE CRYPTOSYSTEM
5 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
6 14836 COPPERSMITHS METHOD//LATTICE BASIS REDUCTION//NTRU
7 36125 KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE
8 34995 FLOOR OPERATION//MAX PROBLEM//PARITY TESTS
9 32867 INTEGRATION IN FINITE TERMS//THEORY OF EQUATIONS//ANTIDERIVATIVE EXTENSIONS
10 37526 DEPENDENT ARC//FULL ORIENTABILITY//EDGE FIRING GAME

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