New compression schemes for natural number sequences

Elias and Fano independently proposed a quasi-succinct representation for monotonic integer sequences. When the standard deviation is high, one may use the well known Elias Cγ or Cδ codes, or Fibonacci codes, instead of the Unary code of the original Elias–Fano method. In case the integers are simil...

Full description

Saved in:
Bibliographic Details
Published inDiscrete Applied Mathematics Vol. 327; pp. 18 - 27
Main Authors Asraf, S., Gross, Y., Klein, S.T., Revivo, R., Shapira, D.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.03.2023
Subjects
Lossless compression
The Haar transform
Universal codes
Lossless compression
The Haar transform
Universal codes
Online AccessGet full text

Cover

More Information
Summary:Elias and Fano independently proposed a quasi-succinct representation for monotonic integer sequences. When the standard deviation is high, one may use the well known Elias Cγ or Cδ codes, or Fibonacci codes, instead of the Unary code of the original Elias–Fano method. In case the integers are similar, not necessarily forming a monotonic sequence, we propose to apply the Haar transform as a preprocessing stage to convert the input into a more compressible form. Experimental results support the additional savings achieved by using our method.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2022.11.004