MODERATE-DENSITY BURST ERROR CORRECTING LINEAR CODES

Bal Kishan Dass, Gangmei Sobha

Abstract


Lower and upper bounds for the existence of linear codes which correct burst of length b (fixed) and whose weight lies between certain limits have been presented.

Keywords


Error detecting codes; error correcting codes; burst errors; moderate-density burst; lower and upper bounds

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References


CHIEN, R.T. and D.T. TANG (1965) : On definition of a Burst, IBM J. Research & Develop., 9(4), 292-293.

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DASS, B.K. (1983) : Low Density Burst-Error Correcting Linear Codes, Adv. in Mngt. Studies, Vol.2, pp.375-385.

DASS, B.K. and G. SOBHA (2000) : High-Density Burst Error Correcting Linear Codes, unpublished.

HAMMING, R.W. (1950) : Error Detecting and Error Correcting Codes, Bell System Tec. J., 29, 147-160.

PETERSON, W.W. and E.J. WELDON, Jr. (1972) : Error-Correcting Codes, Cambridge, Mass : The M.I.T. Press.

SHARMA, B.D. and S.N. GUPTA (1975) : On the existence of Moderate-Density Burst Codes, Journal of Mathematical Sciences, Vol.10, 8-12.


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Copyright (c) 2003 Bal Kishan Dass, Gangmei Sobha

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.