5 papers
Constructions of Subsystem Codes over Finite Fields
Salah A. Aly, Andreas Klappenecker
Subsystem codes protect quantum information by encoding it in a tensor factor of a subspace of the physical state space. Subsystem codes generalize all major quantum error protecti…
Network Coding Capacity of Random Wireless Networks under a SINR Model
Zhenning Kong, Salah A. Aly, Emina Soljanin +2
Previous work on network coding capacity for random wired and wireless networks have focused on the case where the capacities of links in the network are independent. In this paper…
Asymmetric and Symmetric Subsystem BCH Codes and Beyond
Salah A. Aly
Recently, the theory of quantum error control codes has been extended to subsystem codes over symmetric and asymmetric quantum channels -- qubit-flip and phase-shift errors may hav…
Propagation Rules of Subsystem Codes
Salah A. Aly
We demonstrate propagation rules of subsystem code constructions by extending, shortening and combining given subsystem codes. Given an subsystem code, we drive new…
Families of LDPC Codes Derived from Nonprimitive BCH Codes and Cyclotomic Cosets
Salah A. Aly
Low-density parity check (LDPC) codes are an important class of codes with many applications. Two algebraic methods for constructing regular LDPC codes are derived -- one based on…