2 citations · 2 across the 5 of their papers we have counts for
13 papers · 1 filter
A Number Theoretic Approach to Cycles in LDPC Codes
Julia Lieb, Simran Tinani
LDPC codes constructed from permutation matrices have recently attracted the interest of many researchers. A crucial point when dealing with such codes is trying to avoid cycles of…
Construction of LDPC convolutional codes via difference triangle sets
Gianira N. Alfarano, Julia Lieb, Joachim Rosenthal
In this paper, a construction of LDPC convolutional codes over arbitrary finite fields, which generalizes the work of Robinson and Bernstein and the later work of Tong is…
Erasure decoding of convolutional codes using first order representations
Julia Lieb, Joachim Rosenthal
In this paper, we employ the linear systems representation of a convolutional code to develop a decoding algorithm for convolutional codes over the erasure channel. We study the de…
A decoding algorithm for 2D convolutional codes over the erasure channel
Julia Lieb, Raquel Pinto
Two-dimensional (2D) convolutional codes are a generalization of (1D) convolutional codes, which are very appropriate for transmission over an erasure channel. In this paper, we pr…
List decoding of Convolutional Codes over integer residue rings
Julia Lieb, Diego Napp, Raquel Pinto
A convolutional code $\C$ over $\ZZ[D]$ is a $\ZZ[D]$-submodule of $\ZZN[D]$ where $\ZZ[D]$ stands for the ring of polynomials with coefficients in $\ZZ$. In this paper, we study t…
On the left primeness of some polynomial matrices with applications to convolutional codes
Gianira N. Alfarano, Julia Lieb
Maximum distance profile (MDP) convolutional codes have the property that their column distances are as large as possible for given rate and degree. There exists a well-known crite…