REVIEW 8 cited by
Families of sequences with good family complexity and cross-correlation measure
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
In this paper we study pseudorandomness of a family of sequences in terms of two measures, the family complexity ($f$-complexity) and the cross-correlation measure of order $\ell$. We consider sequences not only on binary alphabet but also on $k$-symbols ($k$-ary) alphabet. We first generalize some known methods on construction of the family of binary pseudorandom sequences. We prove a bound on the $f$-complexity of a large family of binary sequences of Legendre-symbols of certain irreducible polynomials. We show that this family as well as its dual family have both a large family complexity and a small cross-correlation measure up to a rather large order. Next, we present another family of binary sequences having high $f$-complexity and low cross-correlation measure. Then we extend the results to the family of sequences on $k$-symbols alphabet.
Forward citations
Cited by 8 Pith papers
-
Intrinsic Stochastic Successive Convexification on SE(3) for Chance Constrained 6-DOF Rendezvous
An intrinsic stochastic successive convexification method on SE(3) jointly optimizes nominal pose, covariance, and feedback gains for chance-constrained 6-DOF rendezvous.
-
Classical and Quantum Query Complexity of Boolean Functions under Indefinite Causal Order
Causally indefinite classical processes can compute a constructed Boolean function family with D^0.792 queries instead of D, and indefinite causal order gives an exact three-query quantum algorithm where sequential qu...
-
The Dodecacopter: a Versatile Multirotor System of Dodecahedron-Shaped Modules
A dodecahedron-based modular rotorcraft system that supports three-dimensional, fully actuated configurations, with convex optimization tools for control allocation and configuration design, demonstrated on a physical...
-
Catching the Nebular Needle in a Polluted Haystack: Line-emission Signatures from Population III-forming Pockets around Massive Galaxies at the End of Reionization
Young massive Pop III clusters in hybrid high-z galaxies produce HeII1640 ≳ 10^41 erg/s detectable by NIRSpec/IFU, while strong metal lines from Pop II cannot exclude their presence.
-
Application of operator inference to reduced-order modeling of constrained mechanical systems
Operator inference can construct compact ODE surrogates for index-2 and index-3 constrained mechanical DAE systems directly from solution snapshots, with stability-oriented semidefinite constraints.
-
Time-Varying Model Predictive Attitude Control for Magnetically Actuated Dual-Spin Satellites
A nonlinear-propagation MPC policy outperformed orbital-scheduling and linear-propagation policies for magnetically actuated dual-spin CubeSat attitude control in simulation.
-
Robust Cislunar Low-Thrust Trajectory Optimization under Uncertainties via Sequential Covariance Steering
This paper presents a sequential convex programming method that jointly optimizes a cislunar trajectory and an affine feedback correction policy while probabilistically bounding state and control uncertainty.
-
Saturation-aware robust optimal operation control of microgrids based on minimum-regret optimization
Saturation-aware droop control with constant setpoints plus a robust unit-commitment optimizer nearly matches perfect-forecast performance in simulated islanded microgrids.
Discussion (0). Continue with ORCID to comment.