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Multi-Access Coded Caching Schemes from Maximal Cross Resolvable Designs
Niladri Das, B. Sundar Rajan
We study the problem of multi-access coded caching (MACC): a central server has files, () caches each of which stores out of the files, users each of…
Linear Network Coding: Effects of Varying the Message Dimension on the Set of Characteristics
Niladri Das, Brijesh Kumar Rai
It is known a vector linear solution may exist if and only if the characteristic of the finite field belongs to a certain set of primes. But, can increasing the message dimension m…
On the Dependence of Linear Coding Rates on the Characteristic of the Finite Field
Niladri Das, Brijesh Kumar Rai
It is known that for any finite/co-finite set of primes there exists a network which has a rate solution if and only if the characteristic of the finite field belongs to the gi…
On Achievability of an Fractional Linear Network Code
Niladri Das, Brijesh Kumar Rai
It is known that there exists a network, called as the M-network, which is not scalar linearly solvable but has a vector linear solution for message dimension two. Recently, a gene…
On the Message Dimensions of Vector Linearly Solvable Networks
Niladri Das, Brijesh Kumar Rai
It is known that there exists a network which does not have a scalar linear solution over any finite field but has a vector linear solution when message dimension is [3]. It is…