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A computability challenge: asymptotic bounds and isolated error-correcting codes
asymptotic bounds isolated error-correcting codes Information Theory
2011/9/16
Abstract: Consider the set of all error--correcting block codes over a fixed alphabet with $q$ letters. It determines a recursively enumerable set of points in the unit square with coordinates $(R,\de...
Recently, Ebrahimi and Fragouli proposed an algorithm to construct scalar network codes using small fields (and vector network codes of small lengths) satisfying multicast constraints in a given singl...
Two infinite families of nonadditive quantum error-correcting codes
infinite families quantum error-correcting codes
2010/4/8
We construct explicitly two infinite families of genuine nonadditive 1-error correcting quantum codes and prove that their coding subspaces are 50% larger than those of the optimal stabilizer codes of...
Universal Framework for Quantum Error-Correcting Codes
Universal Framework Quantum Error-Correcting Codes
2010/4/7
We present a universal framework for quantum error-correcting codes, i.e., the one that applies for the most general quantum error-correcting codes. This framework is established on the group algebra,...