Symmetric Properties and Subspace Degradations of Linear Operator Channels over Finite Fields

Details Symmetric Properties and Subspace Degradations of Linear Operator Channels over Finite Fields Symmetric Properties and Subspace Degradations of Linear Operator Channels over Finite Fields

2011-08-22

arxiv.org/abs/1108.4257v1

Computer Science

Information Theory

31 pages. Parts of the results appear in ITW 2010, Cairo and in arxiv.org/abs/1002.2293v1

Scientific paper

Motivated by the communication through a network employing linear network coding, linear operator channels (LOCs) over finite fields are studied with arbitrarily distributed transfer matrices. Some intrinsic symmetric properties of LOCs are revealed and are used to simplify transition matrix computation and input distribution optimization. Subspace coding for LOCs is studied with the help of the symmetric properties. Our results demonstrate that using constant-dimensional subspace coding are good enough for many typical parameters. For LOCs satisfying certain constraints, the optimal subspace coding is constant-dimensional. Simple method is derived to find an optimal constant-dimensional input distribution, as well as the maximum achievable rate using constant-dimensional subspace coding.

Affiliated with

Also associated with

No associations

Rating

Symmetric Properties and Subspace Degradations of Linear Operator Channels over Finite Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetric Properties and Subspace Degradations of Linear Operator Channels over Finite Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric Properties and Subspace Degradations of Linear Operator Channels over Finite Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-175354