6 papers
Interior Estimates for 2-Sum Hessian Equations
C. Y. Ren, X. L. Sun
This paper establishes an interior estimate for solutions of \[ σ_2(D^2u)+α(x)σ_1(D^2u)=f(x,u,Du)>0, \] on the positive branch , under the assumptions and $D^2α…
On Optimal Encodings and Systematicity in Function-Correcting Codes
Charul Rajput, Kanchana Lokshmii Jagatti, B. Sundar Rajan
Function-correcting codes (FCCs) protect the value of a function of the message against errors. In the original formulation of Lenz et al. (2023), the encoding is systemati…
Plotkin-type Bound on Function-Correcting Codes for Monomial Mappings
Kanchana Lokshmii Jagatti, B. Sundar Rajan
Function-correcting codes, recently introduced by Lenz et al.\ (2023), provide a framework for the receiver to provide a higher level of protection against channel errors than the…
A General Plotkin-type Bound on Function-Correcting Codes with Wyner-Graham Distance
Kanchana Lokshmii Jagatti, K. Hareesh, N. T. Rashid Ummer +1
Function correcting codes (FCCs) are designed to protect a specified function evaluation of messages at a higher level than the level of protection for messages, against errors whi…
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…
An Optimal Decentralized Multi-access Coded Caching System
Monolina Dutta, Anoop Thomas, B. Sundar Rajan
In this paper, we consider a multi-access coded caching system with decentralized prefetching, where a server hosts files, each of size bits, and is connected to users…