Add to ORKGLet P be a finite or co-finite set of primes. We prove there exists a linear rank inequality valid for all fields with characteristic in P. These linear rank inequalities are then used to prove that there exists a network that is linearly solvable over a field, F, if and only if the characteristic of F is in
We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-l...
In recent years, the notion of rank metric in the context of coding theory has known many interestin...
Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Compute...
En este trabajo estudiamos como construir desigualdades rango lineales dependientes de la caracterís...
Abstract—In an acyclic multicast network, it is well known that a linear network coding solution ove...
One fundamental problem in the field of network coding is to determine the network coding capacity o...
We consider the issue of coding for non-multicast networks. For multicast networks, it is known tha...
Using tools from algebraic geometry and Gröbner basis theory we solve two problems in network coding...
Motivated by communication through a network employing linear network coding, capacities of linear o...
A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any f...
As connected devices play an ever-growing role in our society, there is a subsequent need for advanc...
A linear rank-distance code is a set of matrices over a finite field $F_q$, with the rank over $F_q$...
A linear rank-distance code is a set of matrices over a finite field $F_q$, with the rank over $F_q$...
Abstract—We study the use of linear codes for network com-puting in single-receiver networks with va...
summary:Determining information ratios of access structures is an important problem in secret sharin...
We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-l...
In recent years, the notion of rank metric in the context of coding theory has known many interestin...
Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Compute...
En este trabajo estudiamos como construir desigualdades rango lineales dependientes de la caracterís...
Abstract—In an acyclic multicast network, it is well known that a linear network coding solution ove...
One fundamental problem in the field of network coding is to determine the network coding capacity o...
We consider the issue of coding for non-multicast networks. For multicast networks, it is known tha...
Using tools from algebraic geometry and Gröbner basis theory we solve two problems in network coding...
Motivated by communication through a network employing linear network coding, capacities of linear o...
A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any f...
As connected devices play an ever-growing role in our society, there is a subsequent need for advanc...
A linear rank-distance code is a set of matrices over a finite field $F_q$, with the rank over $F_q$...
A linear rank-distance code is a set of matrices over a finite field $F_q$, with the rank over $F_q$...
Abstract—We study the use of linear codes for network com-puting in single-receiver networks with va...
summary:Determining information ratios of access structures is an important problem in secret sharin...
We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-l...
In recent years, the notion of rank metric in the context of coding theory has known many interestin...
Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Compute...