zbMath0873.11070MaRDI QIDQ4888749
Eric Bach, Jeffrey O. Shallit
Publication date: 19 August 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COMPUTING THE DIMENSION OF IDEALS IN GROUP ALGEBRAS, WITH AN APPLICATION TO CODING THEORY ⋮
Using partial smoothness of 𝑝-1 for factoring polynomials modulo 𝑝 ⋮
The State Complexity of Lexicographically Smallest Words and Computing Successors ⋮
Cocks IBE Scheme ⋮
Two compact incremental prime sieves ⋮
Asymptotic existence results for primitive completely normal elements in extensions of Galois fields ⋮
A Conjecture on Primes in Arithmetic Progressions and Geometric Intervals ⋮
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LOGICAL CHARACTERIZATION OF RECOGNIZABLE SETS OF POLYNOMIALS OVER A FINITE FIELD ⋮
On the number of distinct functional graphs of affine-linear transformations over finite fields ⋮
A Graph Polynomial for Independent Sets of Bipartite Graphs ⋮
Small Chvátal rank ⋮
Average $r$-rank Artin conjecture ⋮
An Introduction to Temporal Graphs: An Algorithmic Perspective ⋮
New algorithms for generating Conway polynomials over finite fields ⋮
Determining the $2$-Sylow subgroup of an elliptic curve over a finite field ⋮
Dirichlet’s proof of the three-square theorem: An algorithmic perspective ⋮
DENSITY AND DISTRIBUTION OF PRIMES ⋮
On the interpolation of bivariate polynomials related to the Diffie-Hellman mapping ⋮
Fast algorithms for solving equations of degree \(\le 4\) in some finite fields ⋮
Unnamed Item ⋮
Counting with Probabilistic and Ultrametric Finite Automata ⋮
Computing Primitively-Rooted Squares and Runs in Partial Words ⋮
Black-Box Extension Fields and the Inexistence of Field-Homomorphic One-Way Permutations ⋮
On the Order of Power Series and the Sum of Square Roots Problem ⋮
Computing square roots faster than the Tonelli-Shanks/Bernstein algorithm ⋮
On module unique-SVP and NTRU ⋮
Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮
A DYNAMICAL SYSTEM PROOF OF NIVEN’S THEOREM AND ITS EXTENSIONS ⋮
On the Solution of the Equation $n = ak + bp_k$ by Means of an Iterative Method ⋮
Counting roots for polynomials modulo prime powers ⋮
Recognizing Lexicographically Smallest Words and Computing Successors in Regular Languages ⋮
As easy as $\mathbb {Q}$: Hilbert’s Tenth Problem for subrings of the rationals and number fields ⋮
On the Hardness of Determining Small NFA’s and of Proving Lower Bounds on Their Sizes ⋮
Exponentially Long Orbits in Hopfield Neural Networks ⋮
NON-CONSTRUCTIVE METHODS FOR FINITE PROBABILISTIC AUTOMATA ⋮
On Faster Integer Calculations Using Non-arithmetic Primitives ⋮
Coordination Problems in Ad Hoc Radio Networks ⋮
Authentic Quantum Nonces ⋮
Faster Polynomial Multiplication via Discrete Fourier Transforms ⋮
COMPRESSED DECISION PROBLEMS FOR GRAPH PRODUCTS AND APPLICATIONS TO (OUTER) AUTOMORPHISM GROUPS ⋮
Explicit Burgess bound for composite moduli ⋮
\((1+i)\)-ary GCD computation in \(\mathbb Z[i\) as an analogue to the binary GCD algorithm.] ⋮
Factoring polynomials over special finite fields ⋮
Factoring polynomials over finite fields: A survey ⋮
On the primality of $n! \pm 1$ and $2 \times 3 \times 5 \times \dotsm \times p \pm 1$ ⋮
Detecting perfect powers in essentially linear time ⋮
Three‐Phase Barker Arrays ⋮
A deterministic version of Pollard’s $p-1$ algorithm ⋮
An O(M(n) logn) Algorithm for the Jacobi Symbol ⋮
Computational arithmetic geometry. I: Sentences nearly in the polynomial hierarchy ⋮
On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences ⋮
Computing the $\ell $-power torsion of an elliptic curve over a finite field ⋮
Solving Systems of Modular Equations in One Variable: How Many RSA-Encrypted Messages Does Eve Need to Know? ⋮
The Sheldon Conjecture ⋮
STATE COMPLEXITY AND THE MONOID OF TRANSFORMATIONS OF A FINITE SET ⋮
Unary coded PSPACE-complete languages in \(\mathrm{ASPACE}(\log\log n)\) ⋮
Sublinear Root Detection and New Hardness Results for Sparse Polynomials over Finite Fields ⋮
On Models of a Nondeterministic Computation ⋮
The Elliptic Curve Discrete Logarithm Problem and Equivalent Hard Problems for Elliptic Divisibility Sequences ⋮
Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic ⋮
Randomized polynomial-time root counting in prime power rings ⋮
Efficient, Robust and Constant-Round Distributed RSA Key Generation ⋮
Tabulation of cubic function fields via polynomial binary cubic forms ⋮
Unnamed Item ⋮
An Introduction to Temporal Graphs: An Algorithmic Perspective* ⋮
Taking roots over high extensions of finite fields ⋮
New integer representations as the sum of three cubes ⋮
Unnamed Item ⋮
Computation of Fermat’s pseudoprimes (Dedicated to the Memory of Professor Leetsch C. Hsu) ⋮
Factoring high-degree polynomials over $\mathbf F_2$ with Niederreiter's algorithm on the IBM SP2 ⋮
Constructing Carmichael numbers through improved subset-product algorithms ⋮
Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields ⋮
Isomorphism between circulants and Cartesian products of cycles ⋮
Sparse univariate polynomials with many roots over finite fields ⋮
Shortest division chains in unique factorization domains ⋮
Hypergeometric groups and dynamics on \(K3\) surfaces ⋮
Factoring multi-power RSA moduli with primes sharing least or most significant bits ⋮
Decision procedures for flat array properties ⋮
Lower bounds for the maximum of the Riemann zeta function along vertical lines ⋮
Order statistics in the Farey sequences in sublinear time and counting primitive lattice points in polygons ⋮
A note on quadratic residuosity and UP ⋮
Cryptographic key assignment schemes for any access control policy ⋮
DP lower bounds for equivalence-checking and model-checking of one-counter automata ⋮
Multi-dimensional Kronecker sequences with a small number of gap lengths ⋮
The computational complexity of calculating partition functions of optimal medians with Hamming distance ⋮
A linear-time algorithm for the orbit problem over cyclic groups ⋮
A reduction of semigroup DLP to classic DLP ⋮
Fast generation of prime numbers and secure public-key cryptographic parameters. ⋮
Partition bijections, a survey ⋮
Factoring RSA moduli with primes sharing bits in the middle ⋮
Safer parameters for the Chor-Rivest cryptosystem ⋮
Cramer-Damgård signatures revisited: Efficient flat-tree signatures based on factoring ⋮
Root repulsion and faster solving for very sparse polynomials over \(p\)-adic fields ⋮
Lower bounds on words separation: are there short identities in transformation semigroups? ⋮
The query complexity of order-finding ⋮
Computing zeta functions of large polynomial systems over finite fields ⋮
Univariate polynomial factorization over finite fields ⋮
String cadences ⋮
Computing primitively-rooted squares and runs in partial words ⋮
Property testing for cyclic groups and beyond ⋮
Algorithmic complexity of proper labeling problems ⋮
Estimation of a finite population mean under random nonresponse using kernel weights ⋮
Optimal constraints aggregation method for ILP ⋮
Holographic algorithms: from art to science ⋮
Halving for the 2-Sylow subgroup of genus 2 curves over binary fields ⋮
Operational state complexity of unary NFAs with finite nondeterminism ⋮
Faster \(p\)-adic feasibility for certain multivariate sparse polynomials ⋮
On the number of \(N\)-free elements with prescribed trace ⋮
Primality test for numbers \(M\) with a large power of 5 dividing \(M^{4}-1\). ⋮
The complexity of bisimilarity-checking for one-counter processes. ⋮
Unambiguous finite automata over a unary alphabet ⋮
On primitivity of sets of matrices ⋮
Free \(W^*\)-dynamical systems from \(p\)-adic number fields and the Euler totient function ⋮
Fast equality test for straight-line compressed strings ⋮
Amount of nonconstructivity in deterministic finite automata ⋮
On the tightness of forward-secure signature reductions ⋮
Binary trees as a computational framework ⋮
On the iteration of certain quadratic maps over GF(\(p\)). ⋮
On Euler products with smaller than one exponents ⋮
Good reduction of Puiseux series and applications ⋮
Finite primitive permutation groups and regular cycles of their elements. ⋮
Secure sealed-bid online auctions using discreet cryptographic proofs ⋮
Numerical integration of Hölder continuous, absolutely convergent Fourier, Fourier cosine, and Walsh series ⋮
On the density of normal bases in finite fields ⋮
Circulant graphs and GCD and LCM of subsets ⋮
Factoring polynomials over global fields. I ⋮
Efficient algorithms for the gcd and cubic residuosity in the ring of Eisenstein integers ⋮
Rational curves over generalized complex numbers ⋮
The Kronecker-Vahlen theorem fails in real quadratic norm-Euclidean fields ⋮
On pseudorandomness in families of sequences derived from the Legendre symbol ⋮
Threshold data structures and coding theory ⋮
The complexity of synchronizing Markov decision processes ⋮
Fixed argument pairing inversion on elliptic curves ⋮
Metric estimates and membership complexity for Archimedean amoebae and tropical hypersurfaces ⋮
Trace formulae for irreducible polynomials over \(\mathbb F_P\) with minimal order roots in \(\mathbb F_{P^q}\) ⋮
On the security of RSA with primes sharing least-significant bits ⋮
Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem ⋮
Prime simplicity ⋮
Equivalence problems for circuits over sets of natural numbers ⋮
Efficient algorithms for sparse cyclotomic integer zero testing ⋮
On the limits of the communication complexity technique for proving lower bounds on the size of minimal NFA's ⋮
What are the longest ropes on the unit sphere? ⋮
New number-theoretic cryptographic primitives ⋮
A randomized sublinear time parallel GCD algorithm for the EREW PRAM ⋮
Identity testing and interpolation from high powers of polynomials of large degree over finite fields ⋮
Fast matrix decomposition in \(\mathbb F_2\) ⋮
Counting walks with large steps in an orthant ⋮
Subquadratic-time algorithms for normal bases ⋮
Computing pairings using \(x\)-coordinates only ⋮
An application of free probability to arithmetic functions ⋮
Computing Hermite and Smith normal forms of triangular integer matrices ⋮
Bisection and squares in genus 2 ⋮
Determinisability of unary weighted automata over the rational numbers ⋮
Arithmeticity and hidden symmetries of fully augmented pretzel link complements ⋮
Bisection for genus 2 curves in odd characteristic ⋮
Nondeterministic complexity in subclasses of convex languages ⋮
Transcendence of formal power series with rational coefficients ⋮
On the index of the Diffie-Hellman mapping ⋮
Computing the cycles in the perfect shuffle permutation ⋮
Some connections between discrepancy, finite gap properties, and pair correlations ⋮
Computational strategies for the Riemann zeta function ⋮
Random self-reducibility of ideal-SVP via Arakelov random walks ⋮
Squares and primitivity in partial words ⋮
Hardness of approximation for knapsack problems ⋮
Polynomial approximation algorithms for the TSP and the QAP with a factorial domination number ⋮
The Rabin cryptosystem revisited ⋮
Short vectors of planar lattices via continued fractions ⋮
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients ⋮
Systems of rank one, explicit Rokhlin towers, and covering numbers ⋮
Cryptanalysis of RSA with a small parameter revisited ⋮
Mosaics of combinatorial designs for information-theoretic security ⋮
Approximate congruence in nearly linear time