CaltechAUTHORS
  A Caltech Library Service

The Average Weight Enumerator and the Maximum Likelihood Performance of Product Codes

El-Khamy, Mostafa (2005) The Average Weight Enumerator and the Maximum Likelihood Performance of Product Codes. In: 2005 International Conference on Wireless Networks, Communications and Mobile Computing. IEEE , Piscataway, NJ, pp. 1587-1592. ISBN 0-7803-9305-8 http://resolver.caltech.edu/CaltechAUTHORS:20110817-073434888

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20110817-073434888

Abstract

Product codes are widely used in data-storage, optical and wireless applications. Performance analysis of the product codes in the literature relied on the truncated union lower bounds due to lack of the knowledge of the weight enumerator of most product codes. In this paper, average weight enumerators of arbitrary product codes over F_q are derived. The split weight enumerators of some linear codes are studied and are used in the analysis. The average binary weight enumerator of product Reed Solomon codes is derived. The relationship between the codeword weight and the coordinate weight is discussed for product codes. Consequently, tight bounds on the performance of product codes at low signal to noise ratios are shown.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/WIRLES.2005.1549650 DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1549650&tag=1PublisherUNSPECIFIED
Additional Information:© 2005 IEEE. Issue Date: 13-16 June 2005. Date of Current Version: 05 December 2005. This research was supported by NSF grant no. CCR-0118670 and grants from Sony, Qualcomm, and the Lee Center for Advanced Networking. The author would like to thank R. McEliece and J. Thorpe for useful discussions.
Funders:
Funding AgencyGrant Number
NSFCCR-0118670
SonyUNSPECIFIED
Qualcomm UNSPECIFIED
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
INSPEC Accession Number8773822
Record Number:CaltechAUTHORS:20110817-073434888
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110817-073434888
Official Citation:El-Khamy, M.; , "The average weight enumerator and the maximum likelihood performance of product codes," Wireless Networks, Communications and Mobile Computing, 2005 International Conference on , vol.2, no., pp. 1587- 1592 vol.2, 13-16 June 2005 doi: 10.1109/WIRLES.2005.1549650
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24898
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:17 Aug 2011 14:56
Last Modified:17 Aug 2011 14:56

Repository Staff Only: item control page