38 citations · 106 across the 15 of their papers we have counts for
21 papers
Achieving Thresholds via Standalone Belief Propagation on Surface Codes
Pedro Hack, Luca Menti, Francisco Lazaro +1
The standard approach to Belief Propagation (BP) decoding passes messages on the Tanner graph of the quantum error-correcting (QEC) code, and is known to lack a threshold for the s…
Tree algorithms for set reconciliation
Francisco Lázaro, Čedomir Stefanović
In this work, a set reconciliation setting is considered in which two parties have similar sets that they would like to reconcile. In particular, we focus on a divide-and-conquer s…
The Dynamic Behavior of Frameless ALOHA: Drift Analysis, Throughput, and Age of Information
Andrea Munari, Francisco Lazaro, Giuseppe Durisi +1
We study the dynamic behavior of frameless ALOHA, both in terms of throughput and age of information (AoI). In particular, differently from previous studies, our analysis accounts…
Caching in Heterogeneous Satellite Networks with Fountain Codes
Estefanía Recayte, Francisco Lázaro, Gianluigi Liva
In this paper we investigate the performance of caching schemes based on fountain codes in a heterogeneous satellite network. We consider multiple cache-aided hubs which are connec…
Reliability-Latency Performance of Frameless ALOHA with and without Feedback
Francisco Lázaro, Čedomir Stefanović, Petar Popovski
This paper presents a finite length analysis of multi-slot type frameless ALOHA based on a dynamic programming approach. The analysis is exact, but its evaluation is only feasible…
Symbol Message Passing Decoding of Nonbinary Low-Density Parity-Check Codes
Francisco Lázaro, Alexandre Graell i Amat, Gianluigi Liva +1
We present a novel decoding algorithm for q-ary low-density parity-check codes, termed symbol message passing. The proposed algorithm can be seen as a generalization of Gallager B…
From 5G to 6G: Has the Time for Modern Random Access Come?
Federico Clazzer, Andrea Munari, Gianluigi Liva +3
This short paper proposes the use of modern random access for IoT applications in 6G. A short overview of recent advances in uncoordinated medium access is provided, highlighting t…
Caching at the Edge with LT codes
Estefanía Recayte, Francisco Lázaro, Gianluigi Liva
We study the performance of caching schemes based on LT under peeling (iterative) decoding algorithm. We assume that users ask for downloading content to multiple cache-aided trans…
A Droplet Approach Based on Raptor Codes for Distributed Computing With Straggling Servers
Albin Severinson, Alexandre Graell i Amat, Eirik Rosnes +2
We propose a coded distributed computing scheme based on Raptor codes to address the straggler problem. In particular, we consider a scheme where each server computes intermediate…
Bounds on the Error Probability of Raptor Codes under Maximum Likelihood Decoding
Francisco Lázaro, Gianluigi Liva, Gerhard Bauch +1
In this paper upper and lower bounds on the probability of decoding failure under maximum likelihood decoding are derived for different (nonbinary) Raptor code constructions. In pa…
Caching at the Edge with Fountain Codes
Estefania Recayte, Francisco Lázaro, Gianluigi Liva
We address the use of linear randon fountain codes caching schemes in a heterogeneous satellite network. We consider a system composed of multiple hubs and a geostationary Earth or…
Frameless ALOHA with Reliability-Latency Guarantees
Cedomir Stefanovic, Francisco Lazaro, Petar Popovski
One of the novelties brought by 5G is that wireless system design has increasingly turned its focus on guaranteeing reliability and latency. This shifts the design objective of ran…
Fountain Codes under Maximum Likelihood Decoding
Francisco Lázaro
This dissertation focuses on fountain codes under maximum likelihood (ML) decoding. First LT codes are considered under a practical and widely used ML decoding algorithm known as i…
Inactivation Decoding of LT and Raptor Codes: Analysis and Code Design
Francisco Lázaro, Gianluigi Liva, Gerhard Bauch
In this paper we analyze LT and Raptor codes under inactivation decoding. A first order analysis is introduced, which provides the expected number of inactivations for an LT code,…
Finite-Length Analysis of Frameless ALOHA with Multi-User Detection
Francisco Lazaro, Cedomir Stefanovic
In this paper we present a finite-length analysis of frameless ALOHA for a k multi-user detection scenario, i.e., assuming the receiver can resolve collisions of size k or smaller.…
Finite-Length Analysis of Frameless ALOHA
Francisco Lázaro, Čedomir Stefanović
In this paper we present an exact finite-length analysis of frameless ALOHA that is obtained through a dynamical programming approach. Monte Carlo simulations are performed in orde…
Decentralized Power Control for Slotted Spread Spectrum Aloha with Successive Interference Cancellation
Francisco Lázaro
In this paper, we study slotted Spread Spectrum Aloha with Successive Interference Cancellation at the receiver over a Gaussian channel. We consider a decentralized power control s…
Bounds on the Error Probability of Raptor Codes
Francisco Lázaro, Gianluigi Liva, Enrico Paolini +1
In this paper q-ary Raptor codes under ML decoding are considered. An upper bound on the probability of decoding failure is derived using the weight enumerator of the outer code, o…
Distance Spectrum of Fixed-Rate Raptor Codes with Linear Random Precoders
Francisco Lázaro, Enrico Paolini, Gianluigi Liva +1
Raptor code ensembles with linear random outer codes in a fixed-rate setting are considered. An expression for the average distance spectrum is derived and this expression is used…
Inactivation Decoding Analysis for LT Codes
Francisco Lázaro, Gianluigi Liva, Gerhard Bauch
We provide two analytical tools to model the inactivation decoding process of LT codes. First, a model is presented which derives the expected number of inactivations occurring in…
On The Weight Distribution of Fixed-Rate Raptor Codes
Francisco Lázaro, Enrico Paolini, Gianluigi Liva +1
In this paper Raptor code ensembles with linear random precodes in a fixed-rate setting are considered. An expression for the average distance spectrum is derived and this expressi…