Improved Algorithms and Bounds for List Union-Free Families
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An Improved Bound on the List Error Probability and List Distance Properties
List decoding of binary block codes for the additive white Gaussian noise (AWGN) channel is considered. The output of a list decoder is a list of the most likely codewords, that is, the signal points closest to the received signal in the Euclidean-...
Combinatorics of Unique Maximal Factorization Families (UMFFs)
Special Issue on StringologySuppose a set W of strings contains exactly one rotation (cyclic shift) of every primitive string on some alphabet Σ. Then W is a circ-UMFF if and only if every word in Σ$^+$ has a unique maximal factorization over W. The classic circ-UMFF is the set of ...
Combinatorics of Unique Maximal Factorization Families (UMFFs)
Special Issue on StringologySuppose a set W of strings contains exactly one rotation (cyclic shift) of every primitive string on some alphabet Σ. Then W is a circ-UMFF if and only if every word in Σ$^+$ has a unique maximal factorization over W. The classic circ-UMFF is the set of ...
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