135 citations · 191 across the 19 of their papers we have counts for
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The permutation automorphism groups of irreducible cyclic codes
Tao Feng, Henk D. L. Hollmann, Weicong Li +1
The study of permutation automorphism groups of cyclic codes is a central topic in algebraic coding theory. A cyclic code over is called irreducible if its check pol…
Some basic results on finite linear recurring sequence subgroups
Henk D. L. Hollmann, Medet Zhanbulatuly
An -subgroup is a linear recurring sequence subgroup, a multiplicative subgroup of a field whose elements can be generated (without repetition) by a linear recurrence relation,…
The shift bound for abelian codes and generalizations of the Donoho-Stark uncertainty principle
Tao Feng, Henk D. L. Hollmann, Qing Xiang
Let be a finite abelian group. If $f: G\rightarrow \bC$ is a nonzero function with Fourier transform $\hf$, the Donoho-Stark uncertainty principle states that $|\supp(f)||\supp…
Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields
Swee Hong Chan, Henk D. L. Hollmann, Dmitrii V. Pasechnik
A maximal minor of the Laplacian of an -vertex Eulerian digraph gives rise to a finite group known as the sandpile (or critical) gro…
Critical groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields: an extended abstract
Swee Hong Chan, Henk D. L. Hollmann, Dmitrii V. Pasechnik
We determine the critical groups of the generalized de Bruijn graphs DB and generalized Kautz graphs Kautz, thus extending and completing earlier results for the clas…
Proofs of two conjectures on ternary weakly regular bent functions
Tor Helleseth, Henk D. L. Hollmann, Alexander Kholosha +2
We study ternary monomial functions of the form $f(x)=\Tr_n(ax^d)$, where $x\in \Ff_{3^n}$ and $\Tr_n: \Ff_{3^n}\to \Ff_3$ is the absolute trace function. Using a lemma of Hou \cit…
Association schemes from the action of fixing a nonsingular conic in PG(2,q)
Henk D. L. Hollmann, Qing Xiang
The group has an embedding into such that it acts as the group fixing a nonsingular conic in . This action affords a coherent configuration on…
Pseudocyclic association schemes arising from the actions of PGL(2,2^m) and PΓL(2,2^m)
Henk D. L. Hollmann, Qing Xiang
The action of on the set of exterior lines to a nonsingular conic in affords an association scheme, which was shown to be pseudocyclic in Hollmann's thesis…
A Class of Permutation Polynomials of $\bF_{2^m}$ Related to Dickson Polynomials
Henk D. L. Hollmann, Qing Xiang
We construct a class of permutation polynomials of $\bF_{2^m}$ that are closely related to Dickson polynomials.