30 citations · 79 across the 10 of their papers we have counts for
11 papers
Polar Codes: Graph Representation and Duality
Marc Fossorier
In this paper, we present an iterative construction of a polar code and develop properties of the dual of a polar code. Based on this approach, belief propagation of a polar code c…
Spectral Shape of Doubly-Generalized LDPC Codes: Efficient and Exact Evaluation
Mark F. Flanagan, Enrico Paolini, Marco Chiani +1
This paper analyzes the asymptotic exponent of the weight spectrum for irregular doubly-generalized LDPC (D-GLDPC) codes. In the process, an efficient numerical technique for its e…
Stability of Iterative Decoding of Multi-Edge Type Doubly-Generalized LDPC Codes Over the BEC
Enrico Paolini, Mark F. Flanagan, Marco Chiani +1
Using the EXIT chart approach, a necessary and sufficient condition is developed for the local stability of iterative decoding of multi-edge type (MET) doubly-generalized low-densi…
Spectral Shape of Check-Hybrid GLDPC Codes
Enrico Paolini, Mark F. Flanagan, Marco Chiani +1
This paper analyzes the asymptotic exponent of both the weight spectrum and the stopping set size spectrum for a class of generalized low-density parity-check (GLDPC) codes. Specif…
Growth Rate of the Weight Distribution of Doubly-Generalized LDPC Codes: General Case and Efficient Evaluation
Mark F. Flanagan, Enrico Paolini, Marco Chiani +1
The growth rate of the weight distribution of irregular doubly-generalized LDPC (D-GLDPC) codes is developed and in the process, a new efficient numerical technique for its evaluat…
On a Class of Doubly-Generalized LDPC Codes with Single Parity-Check Variable Nodes
E. Paolini, M. F. Flanagan, M. Chiani +1
A class of doubly-generalized low-density parity-check (D-GLDPC) codes, where single parity-check (SPC) codes are used as variable nodes (VNs), is investigated. An expression for t…
On the Growth Rate of the Weight Distribution of Irregular Doubly-Generalized LDPC Codes
Mark F. Flanagan, Enrico Paolini, Marco Chiani +1
In this paper, an expression for the asymptotic growth rate of the number of small linear-weight codewords of irregular doubly-generalized LDPC (D-GLDPC) codes is derived. The expr…
On the Growth Rate of the Weight Distribution of Irregular Doubly-Generalized LDPC Codes
Mark F. Flanagan, Enrico Paolini, Marco Chiani +1
In this paper, an expression for the asymptotic growth rate of the number of small linear-weight codewords of irregular doubly-generalized LDPC (D-GLDPC) codes is derived. The expr…
Doubly-Generalized LDPC Codes: Stability Bound over the BEC
Enrico Paolini, Marc Fossorier, Marco Chiani
The iterative decoding threshold of low-density parity-check (LDPC) codes over the binary erasure channel (BEC) fulfills an upper bound depending only on the variable and check nod…
Generalized Stability Condition for Generalized and Doubly-Generalized LDPC Codes
E. Paolini, M. Fossorier, M. Chiani
In this paper, the stability condition for low-density parity-check (LDPC) codes on the binary erasure channel (BEC) is extended to generalized LDPC (GLDPC) codes and doublygeneral…
Critical Point for Maximum Likelihood Decoding of Linear Block Codes
Marc Fossorier
In this letter, the SNR value at which the error performance curve of a soft decision maximum likelihood decoder reaches the slope corresponding to the code minimum distance is det…