What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Algebra
- Discrete mathematics
His main research concerns Discrete mathematics, Combinatorics, Linear code, Finite field and Binary number.
Tor Helleseth studies Boolean function which is a part of Discrete mathematics.
He interconnects Cyclic code, Reed–Muller code and Ternary operation in the investigation of issues within Combinatorics.
His Linear code study combines topics from a wide range of disciplines, such as Order and Hamming code.
His research integrates issues of Power mapping, Permutation, Bent function and Exponential function in his study of Finite field.
Tor Helleseth combines subjects such as Point and Coding theory with his study of Binary number.
His most cited work include:
- Advances in Cryptology-Eurocrypt '93 (592 citations)
- Some results about the cross-correlation function between two maximal linear sequences (253 citations)
- The weight distribution of irreducible cyclic codes with block lengths n1((q1−1)N) (164 citations)
What are the main themes of his work throughout his whole career to date?
Tor Helleseth mainly investigates Combinatorics, Discrete mathematics, Finite field, Linear code and Binary number.
His Combinatorics research includes elements of Function, Upper and lower bounds and Hamming code.
His work investigates the relationship between Discrete mathematics and topics such as Cyclic code that intersect with problems in Polynomial code.
His Finite field research includes themes of Bent function, Permutation, Distribution, Kloosterman sum and Exponential function.
The Bent function study combines topics in areas such as Monomial and Quadratic equation.
His research investigates the connection with Linear code and areas like Concatenated error correction code which intersect with concerns in Low-density parity-check code.
He most often published in these fields:
- Combinatorics (60.86%)
- Discrete mathematics (57.32%)
- Finite field (18.18%)
What were the highlights of his more recent work (between 2014-2021)?
- Combinatorics (60.86%)
- Discrete mathematics (57.32%)
- Finite field (18.18%)
In recent papers he was focusing on the following fields of study:
Tor Helleseth mostly deals with Combinatorics, Discrete mathematics, Finite field, Class and Permutation.
His biological study spans a wide range of topics, including Function and Linear code.
His research investigates the connection between Discrete mathematics and topics such as Hamming weight that intersect with issues in Distribution.
His work carried out in the field of Finite field brings together such families of science as Asymptotically optimal algorithm, Sequence, Type and Ternary operation.
His work focuses on many connections between Class and other disciplines, such as Open problem, that overlap with his field of interest in Characterization, Space and Coding theory.
His Permutation research is multidisciplinary, incorporating elements of Trinomial and Unit circle.
Between 2014 and 2021, his most popular works were:
- Linear Codes With Two or Three Weights From Weakly Regular Bent Functions (79 citations)
- Linear codes with two or three weights from quadratic Bent functions (78 citations)
- Several classes of permutation trinomials from Niho exponents (46 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Discrete mathematics
His primary areas of study are Combinatorics, Discrete mathematics, Finite field, Permutation and Prime.
He has included themes like Sequence, Polynomial and Binary number in his Combinatorics study.
His Discrete mathematics research incorporates elements of Expander code and Linear code.
His study in Type extends to Finite field with its themes.
He focuses mostly in the field of Permutation, narrowing it down to topics relating to Trinomial and, in certain cases, Class.
His Prime study which covers Permutation polynomial that intersects with Generalization.
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.
