Name
Abstract | ||
|---|---|---|
It is known that the Fano network has a vector linear solution if and only if the characteristic of the finite field is 2; and the non-Fano network has a vector linear solution if and only if the characteristic of the finite field is not 2. Using these properties of Fano and non-Fano networks it has been shown that linear network coding is insufficient. In this paper we generalize the properties of Fano and non-Fano networks. Specifically, by adding more nodes and edges to the Fano network, we construct a network which has a vector linear solution for any vector dimension if and only if the characteristic of the finite field belongs to an arbitrary given set of primes {p(1), p(2),..., p(l)}. Similarly, by adding more nodes and edges to the non-Fano network, we construct a network which has a vector linear solution for any vector dimension if and only if the characteristic of the finite field does not belong to an arbitrary given set of primes {p(1), p(2),..., p(l)}. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1109/NCC.2017.8077144 | National Conference on Communications NCC |
DocType | Volume | Citations |
Conference | abs/1609.05815 | 1 |
PageRank | References | Authors |
0.36 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Niladri Das | 1 | 21 | 5.70 |
| Brijesh Kumar Rai | 2 | 95 | 13.98 |