11 papers
Function-Correcting Codes With Data Protection
Charul Rajput, B. Sundar Rajan, Ragnar Freij-Hollanti +1
Function-correcting codes (FCCs) are designed to provide error protection for the value of a function computed on the data. Existing work typically focuses solely on protecting the…
Generalized Function-Correcting Partition Codes
Charul Rajput, Mahak, V. Lalitha
We introduce generalized function-correcting partition codes (GFCPCs) that simultaneously protect multiple partitions of the message space against different numbers of errors. Give…
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…
Function-Correcting Codes for Locally Bounded Functions
Charul Rajput, B. Sundar Rajan, Ragnar Freij-Hollanti +1
In this paper, we introduce a class of functions that assume only a limited number of values within a given Hamming -ball and call them locally -bounded function…