36 citations · 81 across the 14 of their papers we have counts for
28 papers
Finite-blocklength performance of polar wiretap codes under a total variation secrecy constraint
Laura Luzzi, Valerio Bioglio
We study the performance of polarizing codes over a degraded symmetric wiretap channel under a total variation distance (TVD) secrecy constraint. We show that the leakage can be bo…
Shortened Polar Codes under Automorphism Ensemble Decoding
Charles Pillet, Ilshat Sagitov, Valerio Bioglio +1
In this paper, we propose a low-latency decoding solution of shortened polar codes based on their automorphism groups. The automorphism group of shortened polar codes, designed acc…
Group Properties of Polar Codes for Automorphism Ensemble Decoding
Valerio Bioglio, Ingmar Land, Charles Pillet
In this paper, we propose an analysis of the automorphism group of polar codes, with the scope of designing codes tailored for automorphism ensemble (AE) decoding. We prove the equ…
On the Distribution of Partially Symmetric Codes for Automorphism Ensemble Decoding
Charles Pillet, Valerio Bioglio, Pascal Giard
Automorphism Ensemble (AE) decoding has recently drawn attention as a possible alternative to list decoding of polar codes. In this letter, we investigate the distribution of Parti…
Classification of Automorphisms for the Decoding of Polar Codes
Charles Pillet, Valerio Bioglio, Ingmar Land
This paper proposes new polar code design principles for the low-latency automorphism ensemble (AE) decoding. Our proposal permits to design a polar code with the desired automorph…
High-performance low-complexity error pattern generation for ORBGRAND decoding
Carlo Condo, Valerio Bioglio, Ingmar Land
Guessing Random Additive Noise Decoding (GRAND) is a recently proposed decoding method searching for the error pattern applied to the transmitted codeword. Ordered reliability bit…
Staircase codes with non-systematic polar codes
Carlo Condo, Valerio Bioglio, Charles Pillet +1
In this work we propose an encoding and decoding framework for staircase codes based on non-systematic polar codes as component codes. The staircase structure allows for efficient…
Polar Codes for Automorphism Ensemble Decoding
Charles Pillet, Valerio Bioglio, Ingmar Land
In this paper we deal with polar code automorphisms that are beneficial under low-latency automorphism ensemble (AE) decoding, and we propose polar code designs that have such auto…
Fast-SCAN decoding of Polar Codes
Charles Pillet, Carlo Condo, Valerio Bioglio
Polar codes are able to achieve the capacity of memoryless channels under successive cancellation (SC) decoding. Soft Cancellation (SCAN) is a soft-output decoder based on the SC s…
Sliding Window Polar Codes
Valerio Bioglio, Carlo Condo, Ingmar Land
We propose a novel coupling technique for the design of polar codes of length N, making them decodable through a sliding window of size M < N. This feature allows to reduce the com…
SCAN List Decoding of Polar Codes
Charles Pillet, Carlo Condo, Valerio Bioglio
In this paper we propose an enhanced soft cancellation (SCAN) decoder for polar codes based on decoding stages permutation. The proposed soft cancellation list (SCANL) decoder runs…
Multi-Kernel Polar Codes: Concept and Design Principles
Valerio Bioglio, Frederic Gabry, Ingmar Land +1
In this paper, we propose a new polar code construction by employing kernels of different sizes in the Kronecker product of the transformation matrix, thus generalizing the origina…
Practical Product Code Construction of Polar Codes
Carlo Condo, Valerio Bioglio, Hartmut Hafermann +1
In this paper, we study the connection between polar codes and product codes. Our analysis shows that the product of two polar codes is again a polar code, and we provide guideline…
On List Decoding of 5G-NR Polar Codes
Charles Pillet, Valerio Bioglio, Carlo Condo
The 5th generation wireless systems (5G) standardization process of the 3rd generation partnership project (3GPP) chose polar codes as a channel coding scheme for the control chann…
Construction and Decoding of Product Codes with Non-Systematic Polar Codes
Valerio Bioglio, Carlo Condo, Ingmar Land
Product codes are widespread in optical communications, thanks to their high throughput and good error-correction performance. Systematic polar codes have been recently considered…
High-Rate Regular APSK Constellations
Paul Ferrand, Marco Maso, Valerio Bioglio
The majority of modern communication systems adopts quadrature amplitude modulation (QAM) constellations as transmission schemes. Due to their square structure, however, QAM do not…
Memory Management in Successive-Cancellation based Decoders for Multi-Kernel Polar Codes
Valerio Bioglio, Carlo Condo, Ingmar Land
Multi-kernel polar codes have recently been proposed to construct polar codes of lengths different from powers of two. Decoder implementations for multi-kernel polar codes need to…
Generalized Fast Decoding of Polar Codes
Carlo Condo, Valerio Bioglio, Ingmar Land
Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance…
Design of Polar Codes in 5G New Radio
Valerio Bioglio, Carlo Condo, Ingmar Land
Polar codes have attracted the attention of academia and industry alike in the past decade, such that the 5 generation wireless systems (5G) standardization process of…
Multi-Kernel Polar Codes: Proof of Polarization and Error Exponents
Meryem Benammar, Valerio Bioglio, Frederic Gabry +1
In this paper, we investigate a novel family of polar codes based on multi-kernel constructions, proving that this construction actually polarizes. To this end, we derive a new and…
Low-Complexity Puncturing and Shortening of Polar Codes
Valerio Bioglio, Frederic Gabry, Ingmar Land
In this work, we address the low-complexity construction of shortened and punctured polar codes from a unified view. While several independent puncturing and shortening designs wer…
Low-complexity Receiver for Multi-Level Polar Coded Modulation in Non-Orthogonal Multiple Access
Beatrice Tomasi, Frédéric Gabry, Valerio Bioglio +2
Non-orthogonal multiple access (NOMA) schemes have been proved to increase the multiple-access achievable rate with respect to orthogonal multiple access (OMA). In this paper we pr…
Minimum-Distance Based Construction of Multi-Kernel Polar Codes
Valerio Bioglio, Frederic Gabry, Ingmar Land +1
In this paper, we propose a construction for multi-kernel polar codes based on the maximization of the minimum distance. Compared to the original construction based on density evol…
Multi-Kernel Construction of Polar Codes
Frederic Gabry, Valerio Bioglio, Ingmar Land +1
We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not onl…