Even-Rodeh coding Contents Encoding Examples See also References Navigation menu"Economical encoding of commas between strings"10.1145/359460.359480e

Lossless compression algorithms


universal codeShimon EvenMichael Rodehnon-negative integer




Even-Rodeh code is a universal code encoding the non-negative integers developed by Shimon Even and Michael Rodeh.[1]




Contents





  • 1 Encoding


  • 2 Examples


  • 3 See also


  • 4 References




Encoding


To code a non-negative integer N in Even-Rodeh coding:


  1. If N is not less than 4 then set the coded value to a single 0 bit. Otherwise the coded value is empty.

  2. If N is less than 8 then prepend the coded value with 3 bits containing the value of N and stop.

  3. Prepend the coded value with the binary representation of N.

  4. Store the number of bits prepended in step 3 as the new value of N.

  5. Go back to step 2.

To decode an Even-Rodeh-coded integer:


  1. Read 3 bits and store the value into N.
    • If the first bit read was 0 then stop. The decoded number is N.

    • If the first bit read was 1 then continue to step 2.


  2. Examine the next bit.
    • If the bit is 0 then read 1 bit and stop. The decoded number is N.

    • If the bit is 1 then read N bits, store the value as the new value of N, and go back to step 2.



Examples












































NumberEncodingImplied probability
00001/8
10011/8
20101/8
30111/8

4100 01/16
5101 01/16
6110 01/16
7111 01/16

8100 1000 01/256
9100 1001 01/256
︙
15100 1111 01/256

16101 10000 01/512
︙
2761100 1100 101011001001 01/1,048,576
︙


See also


  • Elias omega (ω) coding


References




  1. ^ Even, Shimon; Rodeh, Michael (April 1978). "Economical encoding of commas between strings". Communications of the ACM. 21 (4): 315–317. doi:10.1145/359460.359480..mw-parser-output cite.citationfont-style:inherit.mw-parser-output .citation qquotes:"""""""'""'".mw-parser-output .citation .cs1-lock-free abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .citation .cs1-lock-subscription abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registrationcolor:#555.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration spanborder-bottom:1px dotted;cursor:help.mw-parser-output .cs1-ws-icon abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center.mw-parser-output code.cs1-codecolor:inherit;background:inherit;border:inherit;padding:inherit.mw-parser-output .cs1-hidden-errordisplay:none;font-size:100%.mw-parser-output .cs1-visible-errorfont-size:100%.mw-parser-output .cs1-maintdisplay:none;color:#33aa33;margin-left:0.3em.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-formatfont-size:95%.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-leftpadding-left:0.2em.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-rightpadding-right:0.2em









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