Raj Chandra Bose | Academic Influence

Raj Chandra Bose's AcademicInfluence.com Rankings

Raj Chandra Bose

Mathematics

#464

Historical Rank

Combinatorics

#56

Historical Rank

Measure Theory

#956

Historical Rank

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Mathematics

Raj Chandra Bose's Degrees

PhD Mathematics University of Calcutta
Masters Mathematics University of Calcutta
Bachelors Mathematics University of Calcutta

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Why Is Raj Chandra Bose Influential?

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According to Wikipedia, Raj Chandra Bose was an Indian American mathematician and statistician best known for his work in design theory, finite geometry and the theory of error-correcting codes in which the class of BCH codes is partly named after him. He also invented the notions of partial geometry, association scheme, and strongly regular graph and started a systematic study of difference sets to construct symmetric block designs. He was notable for his work along with S. S. Shrikhande and E. T. Parker in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that for no n do there exist two mutually orthogonal Latin squares of order 4n + 2.

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Raj Chandra Bose's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On A Class of Error Correcting Binary Group Codes (1960) (1184)
ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS (1939) (540)
Strongly regular graphs, partial geometries and partially balanced designs. (1963) (505)
Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture (1960) (372)
Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes (1952) (311)
Orthogonal Arrays of Strength two and three (1952) (310)
The construction of translation planes from projective spaces (1964) (263)
Simultaneous Confidence Interval Estimation (1953) (262)
On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs (1959) (255)
Theorems in the additive theory of numbers (1962) (198)
Combinatorial Properties of Group Divisible Incomplete Block Designs (1952) (190)
A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes (1966) (179)
An Affine Analogue of Singer's Theorem (1942) (133)
Linear representations of projective planes in projective spaces (1966) (129)
Further Results on Error Correcting Binary Group Codes (1960) (127)
On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler (1960) (118)
Tables of partially balanced designs with two associate classes (1953) (107)
Hermitian Varieties in a Finite Projective Space PG(N, q 2) (1966) (99)
Essays in probability and statistics (1971) (90)
A Note on Fisher's Inequality for Balanced Incomplete Block Designs (1949) (90)
ON THE FALSITY OF EULER'S CONJECTURE ABOUT THE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t + 2. (1959) (89)
On the construction of group divisible incomplete block designs (1953) (72)
Introduction to Combinatorial Theory (1984) (70)
A Note on a Result in the Theory of Code Construction (1959) (59)
Multidimensional partially balanced designs and their analysis, with applications to partially balanced factorial fractions (1963) (52)
MOMENTS OF ORDER STATISTICS FROM A NORMAL POPULATION (1959) (49)
On the problem of confounding in the general symmetrical factorial design. (1940) (48)
Second Order Rotatable Designs in Three Dimensions (1959) (48)
A generalization of Moore graphs of diameter two (1971) (43)
On the Composition of Balanced Incomplete Block Designs (1960) (42)
Geometric and pseudo-geometric graphs (q2+1,q+1,1) (1972) (41)
On Methods of Constructing Sets of Mutually Orthogonal Latin Squares Using a Computer. I (1960) (39)
A Characterization of Tetrahedral Graphs (1967) (38)
Synchronizable Error-Correcting Codes (1967) (36)
Analysis of irregular factorial fractions (1963) (34)
Symmetric group divisible designs with the dual property (1977) (33)
A Sorting Problem (1962) (32)
ON A BOUND USEFUL IN THE THEORY OF FACTORIAL DESIGNS AND ERROR CORRECTING CODES (1964) (31)
The bridge tournament problem and calibration designs for comparing pairs of objects (1965) (30)
SOME CLASSES OF PARTIALLY BALANCED DESIGNS (1955) (30)
Graphs in which each pair of vertices is adjacent to the same number d of other vertices (1969) (29)
A characterization of partial geometric designs (1976) (27)
On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval (1932) (21)
Embedding the complement of an oval in a projective plane of even order (1973) (19)
COMBINATORIAL PROPERTIES OF PARTIALLY BALANCED DESIGNS AND ASSOCIATION SCHEMES (1965) (19)
Baer Subdesigns of Symmetric Balanced Incomplete Block Design (1975) (17)
On a class of partially balanced incomplete block designs (1965) (16)
Resolvable incomplete block designs with two replications (1953) (15)
Linear representation of a class of projective planes in a four dimensional projective space (1971) (14)
PAIRED COMPARISON DESIGNS FOR TESTING CONCORDANCE BETWEEN JUDGES (1956) (13)
Complex Representation in the Construction of Rotatable Designs (1959) (12)
Partially Balanced Incomplete Block Designs with two Associate Classes Involving only two Replications (1951) (12)
Ternary error correcting codes and fractionally replicated designs. (1961) (11)
A coding problem arising in the transmission of numerical data (1961) (10)
Calibration designs based on solutions to the tournament problem (1967) (10)
COMBINATORIAL MATHEMATICS AND ITS APPLICATIONS, PROCEEDINGS OF THE CONFERENCE HELD APRIL 10-14, 1967, (1969) (10)
Eigenvalues of the adjacency matrix of tetrahedral graphs (1970) (8)
Partial geometric designs and two-class partially balanced designs (1978) (7)
A Geometry of Binary Sequences Associated with Group Alphabets in Information Theory (1960) (6)
Response Model Coefficients and the Individual Degrees of Freedom of a Factorial Design (1962) (6)
Bombay, India (1923) (4)
Some economic partially balanced 2m factorial fractions (1966) (4)
Autobiography of a Mathematical Statistician (1982) (4)
Combinatorial mathematics and its applications : proceedings of the conference held at the University of North Carolina at Chapel Hill, April 10-14, 1967 (1969) (3)
Combinatorial Problems of Experimental Design II: Factorial Designs (1980) (3)
Rotatable designs of second and third order in three or more dimensions (1958) (3)
Some further constructions for G_2(d) graphs (1969) (3)
On the falsity of Euler's (1959) (3)
Recent Work on "Incomplete Block Designs" in India (1947) (3)
A Note on Nair's Condition for Partially Balanced Incomplete Block Designs with k > r. (1952) (2)
Error Detecting and Error Correcting Indexing Systems for Large Serial Numbers (1966) (2)
On the construction of a class of error-correcting binary signaling codes (1958) (2)
On the integral order, (mod p) of quadratics x 2 + ax + b with applications to the construction of minimum functions for GF(p 2 ) and to some number theory results (1944) (2)
Balanced e-optimal designs of resolution III for the 2m×3n series (1984) (2)
On the roots of a well-known congruence (1945) (1)
Minimum functions in Galois fields (1945) (1)
Characterization Problems of Combinatorial Graph Theory (1973) (1)
Quadrics, hermitian varieties, and bounds on error correcting codes (1966) (1)
Orthogonal Latin squares and Eulers conjecture (1960) (1)
Linear Representation of a Class of Projective Planes in * Four Dimensional Projective Space Linear Representation of a Class of Projective Planes in * Four Dimensional Projective Space (1970) (1)
Ternary Rings of a Class of Linearly Representable Semi-Translation Planes, (1970) (1)
MATHEMATICAL THEORY OF FACTORIAL DESIGNS. PART I. ANALYSIS, PART II. CONSTRUCTION, (1963) (1)
Introduction to Combinatorial Theory.@@@Applied Combinatorics.@@@Introductory Combinatorics. (1985) (0)
Proceedings of the second Chapel Hill conference on Combinatorial Mathematics and its Applications : held at the University of North Carolina at Chapel Hill, May 1970 (1970) (0)
ROTATABLEDESIG-NSOFSECONDANDTHIRDORDER IN THREE OR MORE DIMENSIONS (1958) (0)
Theorems in the Synthetic Geometry of the Circle on a Hyperbolic Plane (1931) (0)
On the construction of pairwise orthogonal sets of Latin squares and the falsity of a conjecture of Euler. II (1959) (0)
Research. SIMULTANEOUS CONFIDENCE INTERVAL ESTIMATION (0)
On a New Derivation of the Fundamental Formulae of Hyperbolic Trigonometry (0)
On a Criterion for the Existence of a Cyclic Point (1937) (0)
Some Studies in Coding Theory and Search Linear Models. (1977) (0)
Multivariable Techniques in Communication System Coding and Information Processing. (1975) (0)

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