353 research outputs found
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
In the literature, few constructions of -variable rotation symmetric bent
functions have been presented, which either have restriction on or have
algebraic degree no more than . In this paper, for any even integer
, a first systemic construction of -variable rotation symmetric
bent functions, with any possible algebraic degrees ranging from to , is
proposed
A Framework of Constructions of Minimal Storage Regenerating Codes with the Optimal Access/Update Property
In this paper, we present a generic framework for constructing systematic
minimum storage regenerating codes with two parity nodes based on the invariant
subspace technique. Codes constructed in our framework not only contain some
best known codes as special cases, but also include some new codes with key
properties such as the optimal access property and the optimal update property.
In particular, for a given storage capacity of an individual node, one of the
new codes has the largest number of systematic nodes and two of the new codes
have the largest number of systematic nodes with the optimal update property.Comment: Accepted for publication in IEEE Transactions on Information Theor
- …