On metric properties of maps between Hamming spaces and related graph homomorphisms

A mapping of k-bit strings into n-bit strings is called an (α,β)-map if k-bit strings which are more than αk apart are mapped to n-bit strings that are more than βn apart in Hamming distance. This is a relaxation of the classical problem of constructing error-correcting codes, which corresponds to α...

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Bibliographic Details
Main Author: Polyanskiy, Yury
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Elsevier BV 2019
Subjects:
Online Access:https://hdl.handle.net/1721.1/121968