The Effect of Local Decodability Constraints on Variable-Length Compression

• Published in: IEEE transactions on information theory Vol. 64; no. 4; pp. 2593 - 2608
• Main Authors: Pananjady, Ashwin, Courtade, Thomas A.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: bit-probe; Codes; Complexity; Complexity theory; Data structures; Decoding; local decoding; Lower bounds; Probes; Source coding; static membership; Symbols; Upper bound; Variable-length compression
• ISSN: 0018-9448; 1557-9654
• DOI: 10.1109/TIT.2018.2804441

We consider a variable-length source coding problem subject to local decodability constraints. In particular, we investigate the blocklength scaling behavior attainable by encodings of <inline-formula> <tex-math notation="LaTeX">r </tex-math></inline-formula>-sparse...