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Welch, Lloyd Richard

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Author ID: welch.lloyd-r Recent zbMATH articles by "Welch, Lloyd Richard"
Published as: Welch, L.; Welch, L. R.; Welch, Lloyd R.
External Links: MGP · Wikidata · dblp
Documents Indexed: 30 Publications since 1958

Publications by Year

Citations contained in zbMATH

24 Publications have been cited 548 times in 494 Documents Cited by Year
Lower bounds on the maximum cross correlation of signals. Zbl 0298.94006
Welch, L. R.
127
1974
Generalized bent functions and their properties. Zbl 0585.94016
Kumar, P. V.; Scholtz, R. A.; Welch, L. R.
95
1985
New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities. Zbl 0361.94016
McEliece, Robert J.; Rodemich, Eugene R.; Rumsey, Howard jun.; Welch, Lloyd R.
60
1977
Comma-free codes. Zbl 0081.14601
Golomb, S. W.; Gordon, Basil; Welch, L. R.
46
1958
Perfect codes in the Lee metric and the packing of polyominoes. Zbl 0192.56302
Golomb, S. W.; Welch, L. R.
37
1970
Some new difference sets. Zbl 0111.24201
Gordon, B.; Mills, W. H.; Welch, L. R.
36
1962
Weight distributions of the cosets of the \((32,6)\) Reed-Muller code. Zbl 0228.94003
Berlekamp, Elwyn R.; Welch, Lloyd R.
35
1972
Bent-function sequences. Zbl 0492.94019
Olsen, John D.; Scholtz, Robert A.; Welch, Lloyd R.
26
1982
The genus of \(K_{12s}\). Zbl 0156.22301
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
15
1967
GMW sequences. Zbl 0544.65005
Scholtz, R. A.; Welch, Lloyd R.
14
1984
Algebraic coding and the Lee metric. Zbl 0169.51001
Golomb, S. W.; Welch, L. R.
14
1969
Comma-free codes. Zbl 0106.11601
Golomb, S. W.; Gordon, B.; Welch, L. R.
9
1958
Continued fractions and Berlekamp’s algorithm. Zbl 0388.94014
Welch, Lloyd R.; Scholtz, Robert A.
7
1979
On the enumeration of polygons. Zbl 0092.13807
Golomb, S. W.; Welch, L. R.
5
1960
Solution of the Heawood map-coloring problem - Case 4. Zbl 0192.60504
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
4
1970
Totally variant sets in finite groups and vector spaces. Zbl 0223.20022
Hoffman, Frederick; Welch, Lloyd R.
3
1968
Round trinomials. Zbl 0431.12016
Marsh, Richard W.; Mills, W. H.; Ward, Robert L.; Rumsey, Howard jun.; Welch, Lloyd R.
2
1981
Group characters: Sequences with good correlation properties. Zbl 0392.94011
Scholtz, Robert A.; Welch, Lloyd R.
2
1978
The fast decoding of Reed-Solomon codes using Fermat theoretic transforms and continued fractions. Zbl 0371.94038
Reed, Irving S.; Scholtz, Robert A.; Truong, T. K.; Welch, Lloyd R.
2
1978
Permanents of 0,1-matrices. Zbl 0315.15002
Gordon, B.; Motzkin, T. S.; Welch, L.
2
1974
A low-rate improvement on the Elias bound. Zbl 0298.94008
Welch, Lloyd R.; McEliece, Robert J.; Rumsey, Howard jun.
2
1974
The genus of \(K_ n, n = 12s\). Zbl 0135.42102
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
2
1965
The genus of \(K_ n, n = 12(2^ m)\). Zbl 0135.42101
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
2
1965
The fast decoding of Reed-Solomon codes using Fermat transforms. Zbl 0385.94016
Reed, Irving S.; Truong, T. K.; Welch, L. R.
1
1978
Generalized bent functions and their properties. Zbl 0585.94016
Kumar, P. V.; Scholtz, R. A.; Welch, L. R.
95
1985
GMW sequences. Zbl 0544.65005
Scholtz, R. A.; Welch, Lloyd R.
14
1984
Bent-function sequences. Zbl 0492.94019
Olsen, John D.; Scholtz, Robert A.; Welch, Lloyd R.
26
1982
Round trinomials. Zbl 0431.12016
Marsh, Richard W.; Mills, W. H.; Ward, Robert L.; Rumsey, Howard jun.; Welch, Lloyd R.
2
1981
Continued fractions and Berlekamp’s algorithm. Zbl 0388.94014
Welch, Lloyd R.; Scholtz, Robert A.
7
1979
Group characters: Sequences with good correlation properties. Zbl 0392.94011
Scholtz, Robert A.; Welch, Lloyd R.
2
1978
The fast decoding of Reed-Solomon codes using Fermat theoretic transforms and continued fractions. Zbl 0371.94038
Reed, Irving S.; Scholtz, Robert A.; Truong, T. K.; Welch, Lloyd R.
2
1978
The fast decoding of Reed-Solomon codes using Fermat transforms. Zbl 0385.94016
Reed, Irving S.; Truong, T. K.; Welch, L. R.
1
1978
New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities. Zbl 0361.94016
McEliece, Robert J.; Rodemich, Eugene R.; Rumsey, Howard jun.; Welch, Lloyd R.
60
1977
Lower bounds on the maximum cross correlation of signals. Zbl 0298.94006
Welch, L. R.
127
1974
Permanents of 0,1-matrices. Zbl 0315.15002
Gordon, B.; Motzkin, T. S.; Welch, L.
2
1974
A low-rate improvement on the Elias bound. Zbl 0298.94008
Welch, Lloyd R.; McEliece, Robert J.; Rumsey, Howard jun.
2
1974
Weight distributions of the cosets of the \((32,6)\) Reed-Muller code. Zbl 0228.94003
Berlekamp, Elwyn R.; Welch, Lloyd R.
35
1972
Perfect codes in the Lee metric and the packing of polyominoes. Zbl 0192.56302
Golomb, S. W.; Welch, L. R.
37
1970
Solution of the Heawood map-coloring problem - Case 4. Zbl 0192.60504
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
4
1970
Algebraic coding and the Lee metric. Zbl 0169.51001
Golomb, S. W.; Welch, L. R.
14
1969
Totally variant sets in finite groups and vector spaces. Zbl 0223.20022
Hoffman, Frederick; Welch, Lloyd R.
3
1968
The genus of \(K_{12s}\). Zbl 0156.22301
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
15
1967
The genus of \(K_ n, n = 12s\). Zbl 0135.42102
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
2
1965
The genus of \(K_ n, n = 12(2^ m)\). Zbl 0135.42101
Terry, C. M.; Welch, L. R.; Youngs, J. W. T.
2
1965
Some new difference sets. Zbl 0111.24201
Gordon, B.; Mills, W. H.; Welch, L. R.
36
1962
On the enumeration of polygons. Zbl 0092.13807
Golomb, S. W.; Welch, L. R.
5
1960
Comma-free codes. Zbl 0081.14601
Golomb, S. W.; Gordon, Basil; Welch, L. R.
46
1958
Comma-free codes. Zbl 0106.11601
Golomb, S. W.; Gordon, B.; Welch, L. R.
9
1958
all top 5

Cited by 703 Authors

14 Michel, Christian J.
13 Mixon, Dustin G.
11 Fickus, Matthew C.
10 Cao, Xiwang
10 Mesnager, Sihem
9 Hou, Xiang-Dong
9 Özbudak, Ferruh
9 Pott, Alexander
8 Hu, Lei
8 Jasper, John
8 Pirillo, Giuseppe
7 Ding, Cunsheng
7 Fu, Fangwei
7 Gravier, Sylvain
7 Meidl, Wilfried
7 Stănică, Pantelimon
7 Zeng, Xiangyong
6 Bodmann, Bernhard G.
6 Feng, Keqin
6 Fimmel, Elena
6 Haas, John I. IV
6 Helleseth, Tor
6 Niu, Minyao
6 Qi, Yanfeng
6 Strüngmann, Lutz H.
6 Tang, Chunming
6 Tang, Xiaohu
6 Yue, Qin
5 Burnashev, Marat V.
5 Carlet, Claude
5 Fan, Cuiling
5 Maitra, Subhamoy
5 Mollard, Michel
5 Pasalic, Enes
5 Schmidt, Kai-Uwe
5 Xu, Guangkui
4 Alpert, Seth R.
4 Barg, Alexander M.
4 Cusick, Thomas W.
4 Feng, Tao
4 Gangopadhyay, Sugata
4 Horák, Peter
4 Jungnickel, Dieter
4 Klapper, Andrew M.
4 Leung, Ka Hin
4 Levenshtein, Vladimir I.
4 Tan, Yin
4 Tonchev, Vladimir D.
4 Wang, Qichun
4 Xiang, Qing
4 Xu, Shanding
4 Youngs, J. W. T.
4 Zhou, Zhengchun
3 Casazza, Peter George
3 Climent, Joan-Josep
3 Costa, Sueli Irene Rodrigues
3 Datta, Somantika
3 Dorbec, Paul
3 Goresky, Robert Mark
3 Heath, Robert W. jun.
3 Hodžić, Samir
3 Huang, Dongmei
3 Kavut, Selçuk
3 Körner, János
3 Langevin, Philippe
3 Li, Nian
3 Li, Yuan
3 Litsyn, Simon N.
3 Liu, Fengmei
3 Luo, Gaojun
3 Martinsen, Thor
3 Meng, Qingshu
3 Okoudjou, Kasso A.
3 Peterson, Jesse D.
3 Pirillo, Mario A.
3 Polyanskiy, Yury
3 Requena, Verónica
3 Samorodnitsky, Alex
3 Scott, Andrew James
3 Sınak, Ahmet
3 Singh, Brajesh Kumar
3 Solé, Patrick
3 Strapasson, João Eloir
3 Yang, Min
3 Zhang, Aixian
3 Zhang, Huanguo
2 Araújo, Carlos A. G. jun.
2 Bandeira, Afonso S.
2 Beivide, Ramón
2 Benedetto, John J.
2 Bhaintwal, Maheshanand
2 Blokhuis, Aart
2 Bobu, Andrei V.
2 Boche, Holger
2 Boyvalenkov, Peter G.
2 Cahill, Jameson
2 Calderbank, Arthur Robert
2 Campello, Antonio
2 Çeşmelioğlu, Ayça
2 Chen, Yu Qing
...and 603 more Authors
all top 5

Cited in 134 Serials

54 Designs, Codes and Cryptography
33 Discrete Mathematics
33 Cryptography and Communications
28 Journal of Combinatorial Theory. Series A
27 Discrete Applied Mathematics
15 Linear Algebra and its Applications
15 Applicable Algebra in Engineering, Communication and Computing
14 Finite Fields and their Applications
12 European Journal of Combinatorics
10 Problems of Information Transmission
10 Applied and Computational Harmonic Analysis
8 Information Processing Letters
8 Advances in Mathematics of Communications
7 Theoretical Computer Science
6 Information Sciences
6 Journal of Combinatorial Theory. Series B
5 Journal of Statistical Planning and Inference
5 Discrete & Computational Geometry
5 SIAM Journal on Discrete Mathematics
5 Journal of Theoretical Biology
4 Journal of Complexity
4 International Journal of Computer Mathematics
4 Journal of Algebraic Combinatorics
4 The Journal of Fourier Analysis and Applications
3 Computers & Mathematics with Applications
3 Bulletin of Mathematical Biology
3 Applied Mathematics and Computation
3 Journal of Soviet Mathematics
3 Acta Applicandae Mathematicae
3 Information and Computation
3 International Journal of Foundations of Computer Science
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Combinatorial Optimization
3 Acta Mathematica Sinica. English Series
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Acta Mathematica
2 Advances in Mathematics
2 Journal of Functional Analysis
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Journal of Cryptology
2 Journal of Combinatorial Designs
2 Advances in Computational Mathematics
2 Discussiones Mathematicae. Graph Theory
2 Mathematical Problems in Engineering
2 Doklady Mathematics
2 Journal of Discrete Mathematical Sciences & Cryptography
2 RAIRO. Theoretical Informatics and Applications
2 Journal of Machine Learning Research (JMLR)
2 Science in China. Series F
2 Bulletin of the American Mathematical Society
2 Journal of Mathematical Cryptology
2 Journal of Physics A: Mathematical and Theoretical
2 Science China. Mathematics
1 Acta Informatica
1 Applicable Analysis
1 IEEE Transactions on Information Theory
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Computer and System Sciences
1 Journal of Geometry
1 Journal of Number Theory
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Numerical Functional Analysis and Optimization
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Advances in Applied Mathematics
1 Journal of Information & Optimization Sciences
1 SIAM Journal on Algebraic and Discrete Methods
1 Bulletin of the Iranian Mathematical Society
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 Constructive Approximation
1 Algorithmica
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Science in China. Series A
1 Multidimensional Systems and Signal Processing
1 Neural Computation
1 Aequationes Mathematicae
1 Communications in Statistics. Theory and Methods
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Acta Mathematica Sinica. New Series
1 Mathematical Programming. Series A. Series B
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Imaging and Vision
...and 34 more Serials
all top 5

Cited in 42 Fields

327 Information and communication theory, circuits (94-XX)
160 Combinatorics (05-XX)
121 Number theory (11-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
40 Order, lattices, ordered algebraic structures (06-XX)
40 Computer science (68-XX)
25 Convex and discrete geometry (52-XX)
21 Biology and other natural sciences (92-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
15 Geometry (51-XX)
14 Statistics (62-XX)
13 Group theory and generalizations (20-XX)
13 Numerical analysis (65-XX)
12 Operations research, mathematical programming (90-XX)
11 Quantum theory (81-XX)
8 Probability theory and stochastic processes (60-XX)
7 Functional analysis (46-XX)
5 Algebraic geometry (14-XX)
4 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 Manifolds and cell complexes (57-XX)
3 Associative rings and algebras (16-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Operator theory (47-XX)
2 Differential geometry (53-XX)
2 Mechanics of deformable solids (74-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year

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