H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Computer Science H-index 68 Citations 39,553 173 World Ranking 921 National Ranking 554
Mathematics H-index 72 Citations 44,399 197 World Ranking 105 National Ranking 60

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2005 - IEEE Richard W. Hamming Medal "For contributions to coding theory and its applications to communications, computer science, mathematics and statistics."

1998 - IEEE Claude E. Shannon Award

1998 - Member of the National Academy of Engineering For coding theory and its applications.

1978 - IEEE Fellow For contributions to the theory of error correction in communication systems.

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Combinatorics
  • Quantum mechanics

Neil J. A. Sloane mostly deals with Combinatorics, Discrete mathematics, Linear code, Block code and Binary number. His research in Combinatorics intersects with topics in Upper and lower bounds, Dual code and Coding theory. His Discrete mathematics study incorporates themes from Binary Golay code, Lambda, Binary code, Decoding methods and Lattice.

His Polynomial code and Expander code study are his primary interests in Linear code. His work on Reed–Muller code is typically connected to Quantum capacity as part of general Block code study, connecting several disciplines of science. The study incorporates disciplines such as Binary logarithm, Set, Complementary sequences, Simple and Autocorrelation in addition to Binary number.

His most cited work include:

  • The Theory of Error-Correcting Codes (9046 citations)
  • Sphere packings, lattices, and groups (3780 citations)
  • The On-Line Encyclopedia of Integer Sequences (3146 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Combinatorics, Discrete mathematics, Linear code, Lattice and Binary number. His studies in Combinatorics integrate themes in fields like Binary code, Leech lattice, Integer sequence and Reed–Muller code. His study in Encyclopedia extends to Integer sequence with its themes.

His Discrete mathematics research incorporates themes from Polynomial code, Dual code, Invariant theory, Decoding methods and Upper and lower bounds. His Linear code research is multidisciplinary, incorporating perspectives in Hamming code and Concatenated error correction code. His Block code study focuses on Expander code in particular.

He most often published in these fields:

  • Combinatorics (51.34%)
  • Discrete mathematics (33.42%)
  • Linear code (13.37%)

What were the highlights of his more recent work (between 2004-2020)?

  • Combinatorics (51.34%)
  • Discrete mathematics (33.42%)
  • Sequence (4.81%)

In recent papers he was focusing on the following fields of study:

Neil J. A. Sloane mainly focuses on Combinatorics, Discrete mathematics, Sequence, Integer sequence and Pure mathematics. His Combinatorics research is multidisciplinary, relying on both Order, Leech lattice and Binary number. His research integrates issues of Binary code, Decoding methods, Block code and Upper and lower bounds in his study of Discrete mathematics.

In general Block code study, his work on Concatenated error correction code often relates to the realm of Invariant polynomial, thereby connecting several areas of interest. He interconnects Multiplicative function, Base and Golden ratio in the investigation of issues within Sequence. He has included themes like Number theory, Mailing list and Encyclopedia in his Integer sequence study.

Between 2004 and 2020, his most popular works were:

  • The On-Line Encyclopedia of Integer Sequences (3146 citations)
  • The on-line encyclopedia of integer sequences (174 citations)
  • Self-Dual Codes and Invariant Theory (105 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Combinatorics
  • Quantum mechanics

Neil J. A. Sloane focuses on Combinatorics, Discrete mathematics, Sequence, Integer sequence and Bijection. Neil J. A. Sloane combines subjects such as Mathematical economics, Binary number, Deed of gift, Leech lattice and Algorithm with his study of Combinatorics. His biological study spans a wide range of topics, including Upper and lower bounds, Block code, DUAL and Computation.

His Integer sequence research is multidisciplinary, incorporating perspectives in Integer, Mailing list, Encyclopedia and Line. His studies in Bijection integrate themes in fields like Binary code, Decoding methods, Euclidean space and Codebook. Euclidean space is often connected to Linear code in his work.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

The Theory of Error-Correcting Codes

Florence Jessie MacWilliams;Neil James Alexander Sloane.
(1977)

14041 Citations

Sphere packings, lattices, and groups

J. H. Conway;N. J. A. Sloane;E. Bannai.
(1988)

5667 Citations

The On-Line Encyclopedia of Integer Sequences

Neil J. A. Sloane.
Calculemus '07 / MKM '07 Proceedings of the 14th symposium on Towards Mechanized Mathematical Assistants: 6th International Conference (2007)

3074 Citations

Quantum error correction via codes over GF(4)

A.R. Calderbank;E.M. Rains;P.M. Shor;N.J.A. Sloane.
international symposium on information theory (1997)

1644 Citations

The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes

A.R. Hammons;P.V. Kumar;A.R. Calderbank;N.J.A. Sloane.
IEEE Transactions on Information Theory (1994)

1601 Citations

Pseudo-random sequences and arrays

F.J. MacWilliams;N.J.A. Sloane.
Proceedings of the IEEE (1976)

1053 Citations

The encyclopedia of integer sequences

Neil James Alexander Sloane;Simon Plouffe.
(1995)

1024 Citations

Packing lines, planes, etc.: packings in Grassmannian spaces

John H. Conway;Ronald H. Hardin;Neil J. A. Sloane.
Experimental Mathematics (1996)

836 Citations

Quantum Error Correction and Orthogonal Geometry

A. R. Calderbank;E. M. Rains;P. W. Shor;N. J. A. Sloane.
Physical Review Letters (1997)

819 Citations

Delivery of medical services using electronic data communications

Neil J. A. Sloane.
(1995)

780 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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