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Packing densities of randomly constructed codes

Published online by Cambridge University Press:  14 July 2016

Clifton Sutton
Clifton Sutton*
Affiliation:
George Mason University
*
∗Postal address: George Mason University, Operations Research and Applied Statistics, 4400 University Dr., Fairfax, VA 22030, USA.
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Abstract

Codes having all pairs of words separated by a Hamming distance of at least d are stochastically constructed by sequentially packing randomly generated q-ary n-tuples. Estimates of the random packing densities are obtained by repeated simulation. Using non-linear regression to fit the estimated densities, an asymptotic approximation formula is obtained for the packing densities which depends only on q, n, d, and an empirical constant.

Keywords

SEQUENTIAL RANDOM PACKINGHAMMING DISTANCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 3 , September 1989 , pp. 512 - 523
Copyright
Copyright © Applied Probability Trust 1989 

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References

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