Capacity Achieving Codes from Randomness Conductors

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Since the birth of Information Theory, researchers have defined and exploited various information measures, as well as endowed them with operational meanings. Some were born as a "solution to a problem", like Shannon's Entropy and Mutual Information. Other ...

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We study the stability of low-density parity-check codes under blockwise or bitwise maximum a posteriori decoding, where transmission takes place over a binary-input memoryless output-symmetric channel. Our study stems from the consideration of constructin ...

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We strengthen the results from a recent work by the second author, achieving bounds on the weight distribution of binary linear codes that are successful under block-MAP (as well as bit-MAP) decoding on the BEC. We conclude that a linear code that is succe ...

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We start this short note by introducing two remarkable mathematical objects: the E8E8 root lattice Lambda8Lambda8 in 8-dimensional Euclidean space and the Leech lattice Lambda24Lambda24 in 24-dimensional space. These two lattices stand out among their lat ...

Capacity Achieving Codes from Randomness Conductors

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A Functional Perspective on Information Measures

Unlocking crowding by ensemble statistics

The Stability of Low-Density Parity-Check Codes and Some of its Consequences

Secret Key Generation Over Wireless Channels Using Short Blocklength Multilevel Source Polar Coding

Polarization-Adjusted Convolutional (PAC) Codes: Sequential Decoding vs List Decoding

On Codes Decoding a Constant Fraction of Errors on the BSC

Adaptive Path Interpolation Method for Sparse Systems: Application to a Censored Block Model

Multilevel ensemble Kalman filtering for spatio-temporal processes

Enhancing the Reliability of Dense LoRaWAN Networks With Multi-User Receivers

Feedback and Common Information: Bounds and Capacity for Gaussian Networks

Almost impossible E_8 and Leech lattices