37 citations · 69 across the 13 of their papers we have counts for
18 papers · 1 filter
Recursive Subproduct Codes with Reed-Muller-like Structure
Aditya Siddheshwar, Lakshmi Prasad Natarajan, Prasad Krishnan
We study a family of subcodes of the -dimensional product code ('subproduct codes') that have a recursive Plotkin-like structure, and which include Ree…
Berman Codes: A Generalization of Reed-Muller Codes that Achieve BEC Capacity
Lakshmi Prasad Natarajan, Prasad Krishnan
We identify a family of binary codes whose structure is similar to Reed-Muller (RM) codes and which include RM codes as a strict subclass. The codes in this family are denoted as $…
Non-orthogonal Multiple Access for Multi-cell Indoor VLC
T. Uday, Abhinav Kumar, L. Natarajan
In this letter, we propose a non-orthogonal multiple access (NOMA) based scheme for multi-cell indoor visible light communications (VLC), where cell-edge user is jointly served by…
Permute & Add Network Codes via Group Algebras
Lakshmi Prasad Natarajan, Smiju Kodamthuruthil Joy
A class of network codes have been proposed in the literature where the symbols transmitted on network edges are binary vectors and the coding operation performed in network nodes…
Blind Updates in Coded Caching
Suman Ghosh, Prasad Krishnan, Lakshmi Prasad Natarajan
We consider the centralized coded caching system where a library of files is available at the server and their subfiles are cached at the clients as prescribed by a placement deliv…
An Umbrella Converse for Data Exchange: Applied to Caching, Computing, and Shuffling
Prasad Krishnan, Lakshmi Natarajan, V. Lalitha
The problem of data exchange between multiple nodes with storage and communication capabilities models several current multi-user communication problems like Coded Caching, Data Sh…
Improving Generalized Spatial Modulation using Translation Patterns
Lakshit Singla, Lakshmi Natarajan
Generalized spatial modulation (GSM) is a spectral-efficient technique used in multiple-input multiple-output (MIMO) wireless communications when the number of radio frequency chai…
Locally Decodable Index Codes
Lakshmi Natarajan, Prasad Krishnan, V. Lalitha +1
An index code for broadcast channel with receiver side information is locally decodable if each receiver can decode its demand by observing only a subset of the transmitted codewor…
Index Codes with Minimum Locality for Three Receiver Unicast Problems
Smiju Kodamthuruthil Joy, Lakshmi Natarajan
An index code for a broadcast channel with receiver side information is 'locally decodable' if every receiver can decode its demand using only a subset of the codeword symbols tran…
Locality in Index Coding for Large Min-Rank
Lakshmi Natarajan, Hoang Dau, Prasad Krishnan +1
An index code is said to be locally decodable if each receiver can decode its demand using its side information and by querying only a subset of the transmitted codeword symbols in…
Codes for Updating Linear Functions over Small Fields
Suman Ghosh, Lakshmi Natarajan
We consider a point-to-point communication scenario where the receiver maintains a specific linear function of a message vector over a finite field. When the value of the message v…
Linear Codes for Broadcasting with Noisy Side Information
Suman Ghosh, Lakshmi Natarajan
We consider network coding for a noiseless broadcast channel where each receiver demands a subset of messages available at the transmitter and is equipped with noisy side informati…
Layered Space-Time Index Coding
Yu-Chih Huang, Yi Hong, Emanuele Viterbo +1
Multicasting independent messages via multiple-input multiple-output (MIMO) channels to multiple users where each user already has a subset of messages as side information is s…
New Error Correcting Codes for Informed Receivers
Lakshmi Natarajan, Yi Hong, Emanuele Viterbo
We construct error correcting codes for jointly transmitting a finite set of independent messages to an 'informed receiver' which has prior knowledge of the values of some subset o…
Lattice Codes Achieve the Capacity of Common Message Gaussian Broadcast Channels with Coded Side Information
Lakshmi Natarajan, Yi Hong, Emanuele Viterbo
Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scen…
Index Codes for the Gaussian Broadcast Channel using Quadrature Amplitude Modulation
Lakshmi Natarajan, Yi Hong, Emanuele Viterbo
We propose index codes, based on multidimensional QAM constellations, for the Gaussian broadcast channel, where every receiver demands all the messages from the source. The efficie…
Line of Sight 2 x nr MIMO with Random Antenna Orientations
Lakshmi Natarajan, Yi Hong, Emanuele Viterbo
Line-of-sight (LoS) multiple-input multiple-output (MIMO) gives full spatial-multiplexing gain when the antenna array geometry and orientation are designed based on the inter-termi…
Lattice Index Coding
Lakshmi Natarajan, Yi Hong, Emanuele Viterbo
The index coding problem involves a sender with K messages to be transmitted across a broadcast channel, and a set of receivers each of which demands a subset of the K messages whi…