What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Quantum mechanics
His primary areas of study are Discrete mathematics, Combinatorics, Linear code, Block code and Group code.
His Discrete mathematics study combines topics from a wide range of disciplines, such as Ring and Dual code.
His Combinatorics research is multidisciplinary, relying on both Lattice, Leech lattice and Laplace operator.
Patrick Solé focuses mostly in the field of Linear code, narrowing it down to topics relating to Hamming code and, in certain cases, Concatenated error correction code.
His Block code study combines topics in areas such as Quantum computer, Hermitian matrix and Product.
In his research, Quadratic residue, Quadratic residue code, Universal code and Enumerator polynomial is intimately related to Binary Golay code, which falls under the overarching field of Group code.
His most cited work include:
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes (1174 citations)
- On the algebraic structure of quasi-cyclic codes .I. Finite fields (166 citations)
- Type II codes over F/sub 2/+uF/sub 2/ (150 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Combinatorics, Discrete mathematics, Linear code, Ring and Block code.
His Combinatorics research includes themes of Cyclic code, Upper and lower bounds and Function.
His Discrete mathematics research is multidisciplinary, incorporating elements of Binary code, Binary number and Hamming code, Group code.
His study in Concatenated error correction code extends to Linear code with its themes.
His research investigates the link between Ring and topics such as Trace that cross with problems in Character.
His Block code study focuses on Reed–Muller code in particular.
He most often published in these fields:
- Combinatorics (64.14%)
- Discrete mathematics (58.90%)
- Linear code (20.42%)
What were the highlights of his more recent work (between 2017-2021)?
- Combinatorics (64.14%)
- Discrete mathematics (58.90%)
- Ring (13.09%)
In recent papers he was focusing on the following fields of study:
Patrick Solé mostly deals with Combinatorics, Discrete mathematics, Ring, Circulant matrix and Finite field.
His Combinatorics study integrates concerns from other disciplines, such as Chain and Code.
As a member of one scientific family, Patrick Solé mostly works in the field of Discrete mathematics, focusing on Generalization and, on occasion, Matrix.
The Ring study combines topics in areas such as Trace and Order.
His studies deal with areas such as Polynomial and Secret sharing as well as Finite field.
His work in Abelian group addresses subjects such as Gauss sum, which are connected to disciplines such as Linear code and Degree.
Between 2017 and 2021, his most popular works were:
- On self-dual negacirculant codes of index two and four (19 citations)
- Self-dual codes and orthogonal matrices over large finite fields (12 citations)
- Few-weight codes from trace codes over a local ring (11 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Quantum mechanics
Combinatorics, Discrete mathematics, Ring, Primitive root modulo n and Finite field are his primary areas of study.
His work on Degree as part of general Combinatorics study is frequently linked to Alphabet, bridging the gap between disciplines.
In the field of Discrete mathematics, his study on Strongly regular graph overlaps with subjects such as Homogeneous.
His studies in Ring integrate themes in fields like Trace, Chain, Order, Metric and Abelian group.
As part of one scientific family, Patrick Solé deals mainly with the area of Abelian group, narrowing it down to issues related to the Gauss sum, and often Lee distance, Linear code and Expander code.
His biological study spans a wide range of topics, including Circulant matrix, Dual and Generator matrix.
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