Applicable Algebra in Engineering Communication and Computing

Article	Citations
Quasi type IV codes over a non-unital ring	13
Parameter identifiability and input–output equations	10
Infinite families of 2-designs from linear codes	9
Using double Weil sums in finding the c-boomerang connectivity table for monomial functions on finite fields	6
On the existence and non-existence of some classes of bent–negabent functions	5
Group matrix ring codes and constructions of self-dual codes	5
On greedy algorithms for binary de Bruijn sequences	5
Further results on permutation polynomials from trace functions	4
On max-flat and max-cotorsion modules	4
Efficient hash maps to $${\mathbb {G}}_2$$ on BLS curves	4
Optimal p-ary cyclic codes with two zeros	4
Construction of constant dimension codes via improved inserting construction	3
On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs	3
A new class of differential 4-uniform permutations from exponential permutation	3
Metric dimension of complement of annihilator graphs associated with commutative rings	3
AG codes from $${{\mathbb{F}}_{q^7}}$$-rational points of the GK maximal curve	3
Toward involutive bases over effective rings	3
Self-dual additive codes	3
On symbol-pair distances of repeated-root constacyclic codes of length $$2p^s$$ over $${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}$$ and MDS symbol-pair codes	3
A new algorithm for equivalence of cyclic codes and its applications	3
On Euclidean self-dual codes and isometry codes	2
Gaussian sums, hyper Eisenstein sums and Jacobi sums over a local ring and their applications	2
$$\mathbb Z_{4}{\mathbb {Z}}_{4}{\mathbb {Z}}_{4}$$-additive cyclic codes are asymptotically good	2
On parameterized toric codes	2
On some binary symplectic self-orthogonal codes	2

A new lower bound on the family complexity of Legendre sequences	2
Note on rings which are sums of a subring and an additive subgroup	2
On full differential uniformity of permutations on the ring of integers modulo n	2
Multilinear algebra for minimum storage regenerating codes: a generalization of the product-matrix construction	2
Peterson–Gorenstein–Zierler algorithm for differential convolutional codes	2
Formally self-dual LCD codes from two-class association schemes	2
On the group of unit-valued polynomial functions	2
A new class of distance-optimal binary cyclic codes and their duals	2
Construction of quasi self-dual codes over a commutative non-unital ring of order 4	2
On the symbol-pair distance of some classes of repeated-root constacyclic codes over Galois ring	2
Additive skew G-codes over finite fields	2
Batch point compression in the context of advanced pairing-based protocols	2
Multiple-rate error-correcting coding scheme	2
Computing the equisingularity type of a pseudo-irreducible polynomial	2
Multidimensional Byzantine agreement in a synchronous setting	2
Some classes of permutation polynomials of the form $$b(x^q+ax+\delta )^{\frac{i(q^2-1)}{d}+1}+c(x^q+ax+\delta )^{\frac{j(q^2-1)}{d}+1}+L(x)$$ over $$ {{{\mathbb {F}}}}_{q^2}$$	2
Quantum MDS and synchronizable codes from cyclic codes of length $$5p^s$$ over $$\mathbb F_{p^m}$$	2
Special LCD codes from products of graphs	2
Polynomial identities related to special Schubert varieties	1
On the weights of dual codes arising from the GK curve	1
Left ideals of matrix rings and error-correcting codes	1
On Kostant’s weight q-multiplicity formula for $$\mathfrak {sl}_{4}(\mathbb {C})$$	1
On Kostant’s weight q-multiplicity formula for $${{\mathfrak {s}}}{{\mathfrak {p}}}_6({\mathbb {C}})$$	1
A new construction of two-, three- and few-weight codes via our GU codes and their applications	1
Non-embeddable quasi-residual quasi-symmetric designs	1
Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of $$M_{11}$$	1
Simplification of λ-ring expressions in the Grothendieck ring of Chow motives	1
A note on “H. Q. Dinh et al., Hamming distance of repeated-root constacyclic codes of length $$2p^{s}$$ over $${\mathbb{F}}_{p^{m}}+ u{\mathbb{F}}_{p^{m}}$$”	1
Degröbnerization: a political manifesto	1
Deterministic factoring with oracles	1
The Legendre pseudorandom function as a multivariate quadratic cryptosystem: security and applications	1
Rewriting system of certain semigroups with three generators	1
On the index of the Diffie–Hellman mapping	1
Two dimensional double cyclic codes over finite fields	1
Integration in finite terms: dilogarithmic integrals	1
Subalgebras in K[x] of small codimension	1
Constructing permutation trinomials via monomials on the subsets of $$\mu _{q+1}$$	1
Parallelisms of PG(3,4) invariant under an elementary abelian group of order 4	1
Linear complexity of two classes of quaternary sequences based on sign alternation transformation	1
More classes of optimal quinary cyclic codes of form $${\mathcal {C}}_{(1,e,s)}$$	1
Minimal PD-sets for codes associated with the graphs $$Q^m_2$$, m even	1
On the classification of unitals on 28 points of low rank	1
Complementary decompositions of monomial ideals and involutive bases	1
A comparison of group algebras of dihedral and quaternion groups	1
Minimal linear codes from Hermitian varieties and quadrics	1
A class of rings with the 2-sum property	1
Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions	1
A note on flag-transitive automorphism groups of 2-designs with $$\lambda \ge (r,\lambda )^2$$	1
Effective algorithm for computing Noetherian operators of zero-dimensional ideals	1
A class of three-weight linear codes over finite fields of odd characteristic	1

Two modifications for Loidreau’s code-based cryptosystem	1
Strong metric dimension in annihilating-ideal graph of commutative rings	1
Relatively divisible and relatively flat objects in exact categories: applications	1
Bounds on the maximum nonlinearity of permutations on the rings $${\mathbb {Z}}_p$$ and $${\mathbb {Z}}_{2p}$$	1
Smooth cubic surfaces with 15 lines	1
New binary associative memory model based on the XOR operation	1
Rational homotopy theory methods in graph theory	1
Efficient computation of Riemann–Roch spaces for plane curves with ordinary singularities	1
Why you cannot even hope to use Ore algebras in Cryptography	1
On some conjectures about optimal ternary cyclic codes	1
Three new classes of optimal quinary cyclic codes with minimum distance four	1
Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes	1
Formal weight enumerators and Chebyshev polynomials	1
On the higher-order nonlinearity of a new class of biquadratic Maiorana–McFarland type bent functions	1
Several classes of p-ary linear codes with few weights	1
Jacobi’s Bound: Jacobi’s results translated in Kőnig’s, Egerváry’s and Ritt’s mathematical languages	1
Effective homological computations on finite topological spaces	1
Two approaches to the extension problem for arbitrary weights over finite module alphabets	1
Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls	1
Fourteen years of cube attacks	1
De Nugis Groebnerialium 6: Rump, Ufnarovski, Zacharias	1
An explicit expression for all distinct self-dual cyclic codes of length $$p^k$$ over Galois ring $$\mathrm{GR}(p^2,m)$$	1
LCD codes from equitable partitions of association schemes	1
A recurrent construction of irreducible polynomials of fixed degree over finite fields	1
Weakly principally quasi-Baer skew generalized power series rings	0
On a special type of permutation rational functions	0
Using algebraic geometry to reconstruct a darboux cyclide from a calibrated camera picture	0
Fuchsian holonomic sequences	0
On the classification of non-exceptional APN functions	0
Special Issue: “Algebraic Geometry from an Algorithmic Point of View”, ACA 2019, Montréal, Canada, July 16–20, 2019	0
Several new infinite classes of 0-APN power functions over $$\mathbb {F}_{2^n}$$	0
MWS and FWS codes for coordinate-wise weight functions	0
Correction: Effective algorithm for computing Noetherian operators of zero‑dimensional ideals	0
Best Paper Award in Memory of Jacques Calmet	0
Quantum BCH codes with maximum designed distance	0
Acknowledgment	0
On cryptographic properties of cubic and splitting Boolean functions	0
Nonexistence of perfect permutation codes under the $$\ell _{\infty }$$-metric	0
Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals	0
Toric varieties and Gröbner bases: the complete $$\mathbb {Q}$$-factorial case	0
Constructions of low-hit-zone frequency hopping sequence sets from cyclic codes	0
Computing the (forcing) strong metric dimension in strongly annihilating-ideal graphs	0
The 4-adic complexity of new quaternary sequences with good autocorrelation	0
Binary self-dual codes and Jacobi forms over a totally real subfield of $${\mathbb {Q}}(\zeta _8)$$	0
On circulant involutory and orthogonal MDS matrices over finite commutative rings	0
Several classes of optimal cyclic codes with three zeros	0
Explicit constructions of some infinite families of finite-dimensional irreducible representations of the type $${\textsf {E}}_{6}$$ and $${\textsf {E}}_{7}$$ simple Lie algebras	0
Spectral analysis for signed social networks	0
In memoriam Kai-Uwe Schmidt	0
Determination for minimum symbol-pair and RT weights via torsional degrees of repeated-root cyclic codes	0
Perfect codes in proper intersection power graphs of finite groups	0
A survey on single server private information retrieval in a coding theory perspective	0
x-superoptimal pairings on elliptic curves with odd prime embedding degrees: BW13-P310 and BW19-P286	0
A comparison of unrestricted dynamic Gröbner Basis algorithms	0
$${\mathbb {F}}_{q^{2}}$$-double cyclic codes with respect to the Hermitian inner product	0
The automorphism group of projective norm graphs	0
Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system	0
Some remarks on n-absorbing subsemimodules	0
Presentations of Coxeter groups of type A, B, and D using prefix-reversal generators	0
Best Paper Award in Memory of Jacques Calmet	0
Array-designed reversible and complementary codes over GF(4)	0
Exploring implications of Trace (Inversion) formula and Artin algebras in extremal combinatorics	0
Construction of self dual codes from graphs	0
Infinite families of t-designs from the binomial $$x^{4}+x^{3}$$ over $$\mathrm {GF}(2^n)$$	0
On homogeneous arcs and linear codes over finite chain rings	0
Two-valued cross correlation distributions between binary m sequences and their decimation sequences	0
Metric dimension and strong metric dimension in annihilator-ideal graphs	0
Colouring simplicial complexes via the Lechuga–Murillo’s model	0
MDS codes based on orthogonality of quasigroups	0
New cyclic groups based on the generalized order-k Pell sequences in the Heisenberg group and their application in cryptography	0
A special scalar multiplication algorithm on Jacobi quartic curves	0
An identification system based on the explicit isomorphism problem	0
Weighted product of point clouds and simplicial complexes	0
The 4-adic complexity of quaternary sequences with optimal odd-periodic autocorrelation magnitude	0
Note on the dimension of Goppa codes	0
Absorbing homogeneous polynomials arising from rational homotopy theory and graph theory	0
Sparse polynomial interpolation: faster strategies over finite fields	0
A note on the construction and enumeration of Euclidean self-dual skew-cyclic codes	0
Frames over finite fields and self-dual codes	0
InfoMod: a visual and computational approach to Gauss’ binary quadratic forms	0

Obtaining new classes of optimal linear codes by puncturing and shortening optimal cyclic codes	0
Double quadratic residue codes and self-dual double cyclic codes	0
On restricted partitions of numbers	0
Low-rank parity-check codes over finite commutative rings	0
Correction to: Some classes of permutation polynomials of the form $$b(x^q+ax+\delta )^{\frac{i(q^2-1)}{d}+1}+c(x^q+ax+\delta )^{\frac{j(q^2-1)}{d}+1}+L(x)$$ over $$ \mathbb{F}_{q^2}$$	0
RLWE and PLWE over cyclotomic fields are not equivalent	0
Preface	0
New constructions of optimal frequency hopping sequences	0
Further results on the $$(-1)$$-differential uniformity of some functions over finite fields with odd characteristic	0
On the support t-designs of extremal Type III and IV codes	0
Representing piecewise linear functions by functions with small arity	0
Generalized characteristic sets and new multivariate difference dimension polynomials	0
Correction: Determination for minimum symbol-pair and RT weights via torsional degrees of repeated-root cyclic codes	0
Algorithmic counting of nonequivalent compact Huffman codes	0
δ-dual codes over finite commutative semi-simple rings	0
A note on a standard model for Galois rings	0
Linear complementary pairs of constacyclic n-D codes over a finite commutative ring	0
Construction of a class of at most three-weight linear codes and the applications	0
Further perspectives on elimination	0
Correction: The paint pot problem and common multiples in monoids	0
Linear label code of a root lattice using Gröbner bases	0
Division polynomials on the Hessian model of elliptic curves	0
WDVV equations: symbolic computations of Hamiltonian operators	0
Univariate polynomial factorization over finite fields with large extension degree	0
Normal bases and factorization of $$x^n-1$$ in finite fields	0
On the 2-adic complexity of cyclotomic binary sequences of order four	0
Self-dual codes over a family of local rings	0
On hard-decision decoding of product codes	0
On the existence of r-primitive pairs $$(\alpha ,f(\alpha ))$$ in finite fields	0
Using elliptic curves to construct 3D arrays	0
On differential spectra of involutions with low differential uniformity over finite fields with even characteristic	0
On the stability of periodic binary sequences with zone restriction	0
New characterizations of generalized Boolean functions	0
Constructing and expressing Hermitian self-dual cyclic codes of length $$p^s$$ over $${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}$$	0
Nonlinear complexity from the Hermitian and the Suzuki function fields	0
Weight hierarchies of a class of three-weight p-ary linear codes from inhomogeneous quadratic functions	0
In memoriam Michele Elia	0
Maximum distance separable repeated-root constacyclic codes over $$\mathbb {F}_{2^m}+u\mathbb {F}_{2^m}$$ with respect to the Lee distance	0
Special Issue: “Computer Algebra and Application to Combinatorics, Coding Theory and Cryptography” ACA 2019, Montreal, Canada, July 16–20, 2019	0
A note on the Assmus–Mattson theorem for some ternary codes	0
Preface	0
LDPC codes constructed from cubic symmetric graphs	0
A class of BCH codes with length $$\frac{q^{2m}-1}{q+1}$$	0
Balance, pattern distribution and linear complexity of M-ary sequences from Sidel’nikov sequences	0
Constructing doubly even self-dual codes and even unimodular lattices from Hadamard matrices	0
Constacyclic duadic codes over $${\mathbb {F}}_4$$	0
Quasi-symmetric 2-(41, 9, 9) designs and doubly even self-dual codes of length 40	0
Several classes of permutation polynomials with trace functions over $$\mathbb {F}_{p^n}$$	0
Support posets of some monomial ideals	0
A discrete SIS-model built on the strictly positive scheme	0
Symbol-pair distance of some repeated-root constacyclic codes of length $$p^s$$ over the Galois ring $${{\,\mathrm{GR}\,}}(p^a,m)$$	0
Best Paper Award in Memory of Jacques Calmet	0
Interleavings and matchings as representations	0
Frobenius pseudo-variety of numerical semigroups with a given multiplicity and ratio	0
A dynamic F4 algorithm to compute Gröbner bases	0
Algebraic and SAT models for SCA generation	0
A note on subtowers and supertowers of recursive towers of function fields	0
On the number of $${{\mathbb {Z}}}_{2}{{\mathbb {Z}}}_{4}$$ and $${{\mathbb {Z}}}_{p}{{\mathbb {Z}}}_{p^{2}}$$-additive cyclic codes	0
One-weight codes in some classes of group rings	0
Optimal constacyclic codes with minimum distance four	0
Quadratic bent functions and their duals	0
The paint pot problem and common multiples in monoids	0
Preface	0
On the security of DLCSP over $$GL_n(\mathbb {F}_q[S_r])$$	0
The linear structures and fast points of rotation symmetric Boolean functions	0
Distance-regular graphs and new block designs obtained from the Mathieu groups	0
Decision problem for a class of univariate Pfaffian functions	0
Solving systems of algebraic equations over finite commutative rings and applications	0