8 papers · 1 filter
The Star Product of Uniformly Random Codes
Johan Vester Dinesen, Ragnar Freij-Hollanti, Camilla Hollanti +2
We consider the problem of determining the expected dimension of the star product of two uniformly random linear codes that are not necessarily of the same dimension. We use a corr…
Graphical Analysis of Lifted Product Code Constructions
Ragnar Freij-Hollanti, Kirsten D. Morris, Patricija Å apokaitÄ
Lifted product codes are an important family of quantum low-density parity-check (QLDPC) codes, as they were the first QLDPC code family shown to be asymptotically good. Understand…
Existence and Constructions of Strict Function-Correcting Codes with Data Protection
Charul Rajput, B. Sundar Rajan, Ragnar Freij-Hollanti +1
Function-correcting codes with data protection simultaneously protect both the data and a function of the data at distinct error-correction levels. When the function receives stric…
Function-Correcting Partition Codes
Charul Rajput, B. Sundar Rajan, Ragnar Freij-Hollanti +1
We introduce function-correcting partition codes (FCPCs), which are a natural generalization of function-correcting codes (FCCs). An FCPC is defined directly on a partition of the…
Non-Existence of Some Function-Correcting Codes With Data Protection
Charul Rajput, B. Sundar Rajan, Ragnar Freij-Hollanti +1
In this paper, we consider the recently introduced concept of \emph{function-correcting codes (FCCs) with data protection}, which provide a certain level of error protection for th…
A -Polymatroid Framework for Information Leakage in Secure Linear Network Coding
Eimear Byrne, Johan Vester Dinesen, Ragnar Freij-Hollanti +1
We study information leakage in secure linear network coding schemes based on nested rank-metric codes. We show that the amount of information leaked to an adversary that observes…