###### Volume 66, Number 12, December 2020
Corrections to "Concatenated Coding for the AWGN Channel With Noisy Feedback". Corrections to "The ADMM Penalized Decoder for LDPC Codes". A Deterministic Theory of Low Rank Matrix Completion. Information Theoretic Limits for Phase Retrieval With Subsampled Haar Sensing Matrices. Using Black-Box Compression Algorithms for Phase Retrieval. The Estimation Performance of Nonlinear Least Squares for Phase Retrieval. Recovering a Single Community With Side Information. Minimax Learning for Distributed Inference. Information-Theoretic and Algorithmic Thresholds for Group Testing. Support Recovery in the Phase Retrieval Model: Information-Theoretic Fundamental Limit. A Note on the Probability of Rectangles for Correlated Binary Strings. Inference Under Information Constraints II: Communication Constraints and Shared Randomness. Inference Under Information Constraints I: Lower Bounds From Chi-Square Contraction. Persymmetric Adaptive Array Detection of Spread Spectrum Signals. Ultrahigh-Dimensional Robust and Efficient Sparse Regression Using Non-Concave Penalized Density Power Divergence. Minimax Optimal Estimation of KL Divergence for Continuous Distributions. Noisy Quantum State Redistribution With Promise and the Alpha-Bit. Single-Serving Quantum Broadcast Channel With Common, Individualized, and Confidential Messages. New Infinite Families of Perfect Quaternion Sequences and Williamson Sequences. Rudin-Shapiro-Like Sequences With Maximum Asymptotic Merit Factor. A Note on the Cross-Correlation of Costas Permutations. Weak Grain-Like Structures. Graph Indicators of Vectorial Functions and Bounds on the Algebraic Degree of Composite Functions. Throughput Scaling of Covert Communication Over Wireless Adhoc Networks. Private Information Delivery. Minimum Age of Information TDMA Scheduling: Approximation Algorithms and Hardness Results. Full Coded Caching Gains for Cache-Less Users. Low SNR Asymptotic Rates of Vector Channels With One-Bit Outputs. The Bee-Identification Error Exponent With Absentee Bees. Source Resolvability and Intrinsic Randomness: Two Random Number Generation Problems With Respect to a Subclass of f-Divergences. Variable-Length Source Dispersions Differ Under Maximum and Average Error Criteria. Distributed Hypothesis Testing: Cooperation and Concurrent Detection. On the Storage Cost of Private Information Retrieval. Minimum Guesswork With an Unreliable Oracle. Cascade Codes for Distributed Storage Systems. Gradient Coding From Cyclic MDS Codes and Expander Graphs. Bounds and Constructions of Locally Repairable Codes: Parity-Check Matrix Approach. New Constructions of Cooperative MSR Codes: Reducing Node Size to exp(O(n)). Enabling Optimal Access and Error Correction for the Repair of Reed-Solomon Codes. X-Secure T-Private Information Retrieval From MDS Coded Storage With Byzantine and Unresponsive Servers. Characteristic Sets of Fixed-Dimension Vector Linear Codes for Non-Multicast Networks. Locally Decodable Index Codes. Decoding and Repair Schemes for Shift-XOR Regenerating Codes. Binary Batch Codes With Improved Redundancy. Complete j-MDP Convolutional Codes. Non-Split Toric BCH Codes on Singular del Pezzo Surfaces. Constructions of Optimal Codes With Hierarchical Locality. Reed-Muller Codes Polarize.

###### Volume 66, Number 10, October 2020
Corrections to "On the Separability of Parallel MISO Broadcast Channels Under Partial CSIT: A Degrees of Freedom Region Perspective". Necessary and Sufficient Null Space Condition for Nuclear Norm Minimization in Low-Rank Matrix Recovery. Codebook Cardinality Spectrum of Distributed Arithmetic Coding for Independent and Identically-Distributed Binary Sources. On the Capacity of Locally Decodable Codes. A New Lower Bound on the Maximum Correlation of a Set With Mismatched Filters. Coded Computing for Distributed Graph Analytics. A Coded Compressed Sensing Scheme for Unsourced Multiple Access. On Capacity-Achieving Distributions for Complex AWGN Channels Under Nonlinear Power Constraints and Their Applications to SWIPT. Sum-Set Inequalities From Aligned Image Sets: Instruments for Robust GDoF Bounds. A Cramér-Rao Lower Bound Derivation for Passive Sonar Track-Before-Detect Algorithms. Nonparametric Specification Testing for Signal Models. Eigenvalue-Based Detection of a Signal in Colored Noise: Finite and Asymptotic Analyses. Estimation of the Number of Communities in the Stochastic Block Model. On Integrated L1 Convergence Rate of an Isotonic Regression Estimator for Multivariate Observations. Recursive Kernel Density Estimation for Time Series. Multipartite Entanglement Certification, With or Without Tomography. Lightweight Authentication for Quantum Key Distribution. Efficient Protocols for Perfectly Secure Message Transmission With Applications to Secure Network Coding. Handling Vectorial Functions by Means of Their Graph Indicators. Coding for Positive Rate in the Source Model Key Agreement Problem. Finite-Sample Concentration of the Multinomial in Relative Entropy. On the Asymptotic Capacity of X-Secure T-Private Information Retrieval With Graph-Based Replicated Storage. Degrees of Freedom Region of the (M, N₁, N₂) MIMO Broadcast Channel With Partial CSIT: An Application of Sum-Set Inequalities Based on Aligned Image Sets. Compute-Forward for DMCs: Simultaneous Decoding of Multiple Combinations. Channel Polarization Through the Lens of Blackwell Measures. On the Optimal Achievable Rates for Linear Computation With Random Homologous Codes. Identification Capacity of Channels With Feedback: Discontinuity Behavior, Super-Activation, and Turing Computability. A Classification of Functions in Multiterminal Distributed Computing. Caching (Bivariate) Gaussians. Task-Based Solutions to Embedded Index Coding. Constructions of Maximally Recoverable Local Reconstruction Codes via Function Fields. Obtaining Binary Perfect Codes Out of Tilings. Kerdock Codes Determine Unitary 2-Designs. Coded Trace Reconstruction. Maximally Recoverable LRCs: A Field Size Lower Bound and Constructions for Few Heavy Parities. Sequence-Subset Distance and Coding for Error Control in DNA-Based Data Storage. On Computing the Number of Short Cycles in Bipartite Graphs Using the Spectrum of the Directed Edge Matrix. On Finding Bipartite Graphs With a Small Number of Short Cycles and Large Girth. Multilevel-Coded Pulse-Position Modulation for Covert Communications Over Binary-Input Discrete Memoryless Channels. An Improved Decoding Algorithm to Decode Quadratic Residue Codes Based on the Difference of Syndromes. Local-Encoding-Preserving Secure Network Coding.

###### Volume 66, Number 9, September 2020
Sparse and Low-Rank Tensor Estimation via Cubic Sketchings. Sparse Recovery Beyond Compressed Sensing: Separable Nonlinear Inverse Problems. Provable Low Rank Phase Retrieval. Convergence of p-Stable Random Fractional Wavelet Series and Some of Its Properties. Privacy of Dependent Users Against Statistical Matching. Nonconvex Rectangular Matrix Completion via Gradient Descent Without ℓ₂, ∞ Regularization. Local Decode and Update for Big Data Compression. C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity. Linear Complexity of a Family of Binary pq2-Periodic Sequences From Euler Quotients. Provably Secure Group Signature Schemes From Code-Based Assumptions. On the Distance Between APN Functions. Improved Protocols and Hardness Results for the Two-Player Cryptogenography Problem. The Age of Information in Networks: Moments, Distributions, and Sampling. Wireless Network Simplification: The Performance of Routing. Packet Speed and Cost in Mobile Wireless Delay-Tolerant Networks. On the Capacity of MIMO Optical Wireless Channels. On the Degrees-of-Freedom of the K-User Distributed Broadcast Channel. Gaussian Maximizers for Quantum Gaussian Observables and Ensembles. Distributed Compression of Correlated Classical-Quantum Sources or: The Price of Ignorance. Bounding and Estimating the Classical Information Rate of Quantum Channels With Memory. Explicit Lower Bounds on Strong Quantum Simulation. Parallel Device-Independent Quantum Key Distribution. Secure Communication Over Fully Quantum Gel'fand-Pinsker Wiretap Channel. Conditional Entropy and Data Processing: An Axiomatic Approach Based on Core-Concavity. Proving and Disproving Information Inequalities: Theory and Scalable Algorithms. Interactive Secure Function Computation. Information Flow in Computational Systems. Capacity Upper Bounds for the Relay Channel via Reverse Hypercontractivity. Cooperative Resolvability and Secrecy in the Cribbing Multiple-Access Channel. Infinite Families of Near MDS Codes Holding t-Designs. On the Weights of General MDS Codes. Minimal Linear Codes From Characteristic Functions. Constructive Asymptotic Bounds of Locally Repairable Codes via Function Fields. Optimal Binary Linear Codes From Maximal Arcs. On the List Decodability of Rank Metric Codes. A Scheme for Collective Encoding and Iterative Soft-Decision Decoding of Cyclic Codes of Prime Lengths: Applications to Reed-Solomon, BCH, and Quadratic Residue Codes. Efficient and Explicit Balanced Primer Codes. On the List Decodability of Insertions and Deletions. Asymmetric Single Magnitude Four Error Correcting Codes. New Constructions of Subspace Codes Using Subsets of MRD Codes in Several Blocks.

###### Volume 66, Number 8, August 2020
Correction to "Optimal Joint Channel Estimation and Data Detection for Massive SIMO Wireless Systems: A Polynomial Complexity Solution". A Construction of Optimal Frequency Hopping Sequence Set via Combination of Multiplicative and Additive Groups of Finite Fields. Constructing APN Functions Through Isotopic Shifts. When Are Fuzzy Extractors Possible? Rate-Constrained Shaping Codes for Structured Sources. Generalized Degrees of Freedom of Noncoherent Diamond Networks. On Secure Network Coding for Multiple Unicast Traffic. Analysis of Spectral Methods for Phase Retrieval With Random Orthogonal Matrices. Absolute Maximum Nonlinear Functions on Finite Nonabelian Groups. Secure Estimation Under Causative Attacks. An Algebraic-Geometric Approach for Linear Regression Without Correspondences. The Local Geometry of Testing in Ellipses: Tight Control via Localized Kolmogorov Widths. On the Adversarial Robustness of Robust Estimators. Joint Sparse Recovery Using Signal Space Matching Pursuit. Sparse Representation Classification Beyond ℓ1 Minimization and the Subspace Assumption. Monotonicity Under Local Operations: Linear Entropic Formulas. Adversarial Hypothesis Testing and a Quantum Stein's Lemma for Restricted Measurements. Partially Smoothed Information Measures. Randomized Linear Algebra Approaches to Estimate the von Neumann Entropy of Density Matrices. Maximal Correlation and the Rate of Fisher Information Convergence in the Central Limit Theorem. Nonasymptotic Gaussian Approximation for Inference With Stable Noise. Recursive Projection-Aggregation Decoding of Reed-Muller Codes. Locally Repairable Convolutional Codes With Sliding Window Repair. Bounds on the Length of Functional PIR and Batch Codes. Capacity-Achieving Private Information Retrieval Codes From MDS-Coded Databases With Minimum Message Size. Efficient Encoding/Decoding of GC-Balanced Codes Correcting Tandem Duplications. Rate-Optimal Streaming Codes for Channels With Burst and Random Erasures. On Optimal Locally Repairable Codes With Super-Linear Length. A Channel-Aware Combinatorial Approach to Design High Performance Spatially-Coupled Codes. A Reduced-Complexity Projection Algorithm for ADMM-Based LP Decoding. Low-Power Cooling Codes With Efficient Encoding and Decoding. Noisy Guesses. Coding Theorems for Asynchronous Slepian-Wolf Coding Systems. The Capacity of T-Private Information Retrieval With Private Side Information. Second- and Third-Order Asymptotics of the Continuous-Time Poisson Channel. A Lower Bound on the Expected Distortion of Joint Source-Channel Coding. The Asymptotic Capacity of Private Search. Strong Coordination of Signals and Actions Over Noisy Channels With Two-Sided State Information. Capacity Theorems for Distributed Index Coding.

###### Volume 66, Number 7, July 2020
Entangled Simultaneity Versus Classical Interactivity in Communication Complexity. Random Private Quantum States. On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences. Smallest Graphs Achieving the Stinson Bound. Super-Resolution Limit of the ESPRIT Algorithm. On the Algorithmic Solvability of Spectral Factorization and Applications. Phase Retrieval by Alternating Minimization With Random Initialization. Real-Time Reconstruction of a Counting Process Through First-Come-First-Serve Queue Systems. Adaptive Coded Caching for Fair Delivery Over Fading Channels. On the Separability of Parallel MISO Broadcast Channels Under Partial CSIT: A Degrees of Freedom Region Perspective. Covariance-Aided CSI Acquisition With Non-Orthogonal Pilots in Massive MIMO: A Large-System Performance Analysis. Securing Multi-User Broadcast Wiretap Channels With Finite CSI Feedback. The Approximate Capacity of Half-Duplex Line Networks. Generalized Degrees Freedom of Noncoherent MIMO Channels With Asymmetric Link Strengths. Some Tight Lower Bounds on the Redundancy of Optimal Binary Prefix-Free and Fix-Free Codes. Bias Correction With Jackknife, Bootstrap, and Taylor Series. Convergence of Smoothed Empirical Measures With Applications to Entropy Estimation. Distributed Detection With Empirically Observed Statistics. Learning to Detect an Odd Markov Arm. Estimation in Poisson Noise: Properties of the Conditional Mean Estimator. Mutual Information and Optimality of Approximate Message-Passing in Random Linear Estimation. Minimum Description Length Principle in Supervised Learning With Application to Lasso. Secret Key Generation for Minimally Connected Hypergraphical Sources. Structured Mappings and Conferencing Common Information for Multiple-Access Channels. Vector Gaussian CEO Problem Under Logarithmic Loss and Applications. Distributed Hypothesis Testing Based on Unequal-Error Protection Codes. Private Information Retrieval Through Wiretap Channel II: Privacy Meets Security. Communicating Correlated Sources Over MAC and Interference Channels I: Separation-Based Schemes. Double and Triple Node-Erasure-Correcting Codes Over Complete Graphs. Analog Error-Correcting Codes. Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in the NRT-Metric. On the Lengths of Divisible Codes. GASP Codes for Secure Distributed Matrix Multiplication. Constructive Bounds on the Capacity of Parallel Asynchronous Skew-Free Channels With Glitches. New Lower Bounds for Permutation Codes Using Linear Block Codes. Optimal Multiplexed Erasure Codes for Streaming Messages With Different Decoding Delays. Modular Arithmetic Erasure Channels and Their Multilevel Channel Polarization. Beyond the MDS Bound in Distributed Cloud Storage.

###### Volume 66, Number 6, June 2020
Corrections to "Secure Network Code for Adaptive and Active Attacks With No-Randomness in Intermediate Nodes". Achieving the Bayes Error Rate in Synchronization and Block Models by SDP, Robustly. New RIP Bounds for Recovery of Sparse Signals With Partial Support Information via Weighted ${\ell_{p}}$ -Minimization. Atomic Norm Denoising for Complex Exponentials With Unknown Waveform Modulations. SqueezeFit: Label-Aware Dimensionality Reduction by Semidefinite Programming. Waiting Before Serving: A Companion to Packet Management in Status Update Systems. Content Based Status Updates. Toward an Extremal Network Theory - Robust GDoF Gain of Transmitter Cooperation Over TIN. Analysis of KNN Information Estimators for Smooth Distributions. Noisy Non-Adaptive Group Testing: A (Near-)Definite Defectives Approach. Cycle Structures of a Class of Cascaded FSRs. A Class of Quadrinomial Permutations With Boomerang Uniformity Four. On the Commitment Capacity of Unfair Noisy Channels. Logarithmic Pyramid Vector Quantization - Design and Theoretical Analysis. Optimal Source Codes for Timely Updates. K-Plex 2-Erasure Codes and Blackburn Partial Latin Squares. Codes, Differentially $\delta$ -Uniform Functions, and $t$ -Designs. Array Codes With Local Properties. Weights Which Respect Support and NN-Decoding. Optimal Few-Weight Codes From Simplicial Complexes. A Unified Approach to Construct MDS Self-Dual Codes via Reed-Solomon Codes. Gabidulin Codes With Support Constrained Generator Matrices. Fundamental Limits of Decentralized Data Shuffling. Explicit Constructions of MDS Self-Dual Codes. Private Information Retrieval in Graph-Based Replication Systems. LOCO Codes: Lexicographically-Ordered Constrained Codes. Self-Dual Binary $[8m, \, \, 4m]$ -Codes Constructed by Left Ideals of the Dihedral Group Algebra $\mathbb{F}_2[D_{8m}]$. Codes and Gap Sequences of Hermitian Curves. Higher Weight Spectra of Veronese Codes. Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs. Optimized Measures of Bipartite Quantum Correlation. A Quantum Multiparty Packing Lemma and the Relay Channel. Quantum Measurement as Marginalization and Nested Quantum Systems. Leftover Hashing From Quantum Error Correction: Unifying the Two Approaches to the Security Proof of Quantum Key Distribution. A Lagrange-Dual Lower Bound to the Error Exponent of the Typical Random Code. Impact of Action-Dependent State and Channel Feedback on Gaussian Wiretap Channels. On the Capacity of Computation Broadcast. The Capacity of Private Information Retrieval From Heterogeneous Uncoded Caching Databases. On Exact and ∞-Rényi Common Informations. Message and Causal Asymmetric State Transmission Over the State-Dependent Degraded Broadcast Channel. Novel Outer Bounds and Capacity Results for the Interference Channel With Conferencing Receivers. Bits Through Queues With Feedback. Sliding-Window Superposition Coding: Two-User Interference Channels.

###### Volume 66, Number 5, May 2020
Systematic Methods of Constructing Bent Functions and 2-Rotation Symmetric Bent Functions. Weak-Noise Modulation-Estimation of Vector Parameters. Living Near the Edge: A Lower-Bound on the Phase Transition of Total Variation Minimization. Toward the Optimal Construction of a Loss Function Without Spurious Local Minima for Solving Quadratic Equations. Blind Phaseless Short-Time Fourier Transform Recovery. Spectral State Compression of Markov Processes. Convex Stochastic Dominance in Bayesian Localization, Filtering, and Controlled Sensing POMDPs. Evolution of $k$ -Mer Frequencies and Entropy in Duplication and Substitution Mutation Systems. Testing Bayesian Networks. On the Fundamental Limits of Coded Data Shuffling for Distributed Machine Learning. How Biased Is Your Model? Concentration Inequalities, Information and Model Bias. Motif and Hypergraph Correlation Clustering. Capacity Scaling of Massive MIMO in Strong Spatial Correlation Regimes. Discrete Modulation for Interference Mitigation. A New Capacity-Approaching Scheme for General 1-to-K Broadcast Packet Erasure Channels With ACK/NACK. Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN. A Framework for Quantum-Secure Device-Independent Randomness Expansion. Bounds on Instantaneous Nonlocal Quantum Computation. Jointly Constrained Semidefinite Bilinear Programming With an Application to Dobrushin Curves. Permutation-Invariant Constant-Excitation Quantum Codes for Amplitude Damping. Guessing Individual Sequences: Generating Randomized Guesses Using Finite-State Machines. An Entropy Lower Bound for Non-Malleable Extractors. Remarks on the Rényi Entropy of a Sum of IID Random Variables. Properties of a Generalized Divergence Related to Tsallis Generalized Divergence. Metric Properties of Homogeneous and Spatially Inhomogeneous $F$ -Divergences. Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels With Feedback. Shannon Meets von Neumann: A Minimax Theorem for Channel Coding in the Presence of a Jammer. Secure Communication Over Interference Channel: To Jam or not to Jam? Exact Channel Synthesis. Measuring Sample Path Causal Influences With Relative Entropy. Some New Results on Splitter Sets. Construction of Constant Dimension Subspace Codes by Modifying Linkage Construction. Quaternary Hermitian Linear Complementary Dual Codes. Distance Distribution in Reed-Solomon Codes. Sparse Combinatorial Group Testing. LCD and Self-Orthogonal Group Codes in a Finite Abelian $p$ -Group Algebra. The Lengths of Projective Triply-Even Binary Codes. Optimal Streaming Erasure Codes Over the Three-Node Relay Network. Maximizing Multivariate Information With Error-Correcting Codes. Explicit and Efficient WOM Codes of Finite Length. Reconstruction Codes for DNA Sequences With Uniform Tandem-Duplication Errors. Tight Information Theoretic Converse Results for Some Pliable Index Coding Problems. Privacy in Index Coding: $k$ -Limited-Access Schemes. Multi-Erasure Locally Recoverable Codes Over Small Fields: A Tensor Product Approach.

###### Volume 66, Number 4, April 2020
Corrections to "Wyner's Common Information Under Rényi Divergence Measures". On the Bounded Distance Decoding Problem for Lattices Constructed and Their Cryptographic Applications. Binarization Trees and Random Number Generation. Measuring Uncertainty Under Prior Information. The Trade-Off Between Privacy and Fidelity via Ehrhart Theory. MML Is Not Consistent for Neyman-Scott. Optimal Variable Selection and Adaptive Noisy Compressed Sensing. Effective Condition Number Bounds for Convex Regularization. The Generalized Lasso for Sub-Gaussian Measurements With Dithered Quantization. Failure Analysis of the Interval-Passing Algorithm for Compressed Sensing. A New Approach to the Kasami Codes of Type 2. One-Shot PIR: Refinement and Lifting. Interleaved Polar (I-Polar) Codes.