4 papers
Function-Correcting Codes with Optimal Data Protection for Hamming Code Membership
Swaraj Sharma Durgi, Anjana A. Mahesh, Anupriya Kumari +2
This paper investigates single-error-correcting function-correcting codes (SEFCCs) for the Hamming code membership function (HCMF), which indicates whether a vector in $\mathbb{F}_…
Function Correcting Codes for Maximally-Unbalanced Boolean Functions
Rajlaxmi Pandey, Shiven Bajpai, Anjana A Mahesh +1
Function-Correcting Codes (FCCs) enable reliable computation of a function of a -bit message over noisy channels without requiring full message recovery. In this work, we study…
Hierarchical Coded Caching in High Memory Regime with Coded Placement
Rajlaxmi Pandey, Charul Rajput, B. Sundar Rajan
We consider a two-layer hierarchical coded caching network where a server with a library of files is connected to mirrors, each having a cache memory of size . Each…
Coded Caching for Hierarchical Two-Layer Networks with Coded Placement
Rajlaxmi Pandey, Charul Rajput, B. Sundar Rajan
We examine a two-layered hierarchical coded caching problem, a configuration addressed in existing research. This involves a server connected to mirrors, each of which serves…