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 JIS  Vol.7 No.3 , April 2016
Construction of New Codes from Given Ones in an Additive Channel
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Abstract: In the present work, a construction making possible creation of an additive channel  of cardinality s and rank r for arbitrary integers s, r, n (rmin (n,s-1)), as well as creation of a code  correcting errors of the channel A is presented.
Cite this paper: Movsisyan, G. (2016) Construction of New Codes from Given Ones in an Additive Channel. Journal of Information Security, 7, 165-171. doi: 10.4236/jis.2016.73012.
References

[1]   Deza, M.E. (1965) Comparison of Arbitrary Additive Noises with Respect to Efficiency of Their Detection and Correction. Problemi Peredachi Informacii, 1, 29-39. (in Russian)

[2]   Leontiev, V.K. and Movsisyan, G.L. (2004) On Additive Communication Channels. Dokladi AN of Armenia, 104, 23-27. (in Russian)

[3]   Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2006) Perfect Codes in Additive Channels. Dokladi RAN, 411, 306-309. (in Russian)

[4]   Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2008) On Perfect Codes in Additive Channels. Information Transfer Problems, 44, 12-19.

[5]   Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2010) Codes in Additive Channels. Dokladi of AN of Armenia, 110, 334-339. (in Russian)

[6]   Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2011) Correction of Errors in an Additive Channel. Russian-Slavyanski University, Vestnik Fiziko-Matematicheskikh Nauk, Yerevan, 2. (in Russian)

[7]   Movsisyan, G.L. (2013) Partition and Perfect Codes in Additive Channels. Open Journal of Discrete Mathematics, 3, 112-122.

[8]   Movsisyan, G.L. (2013) Dirichlet Regions and Perfect Codes in Additive Channels. Open Journal of Discrete Mathematics, 3, 137-142.

[9]   Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2011) Limits of a Code Volume in an Additive Channel. Report at the Conference in the Russian-Slavyanski University, Yerevan. (in Russian)

[10]   MacWilliams, F.J. and Sloane, N.J.A. (1979) The Theory of Error-Correcting Codes. Moscow “Svyaz”. (in Russian)

[11]   Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2012) Geometry of the Additive Channel. Reports at NAS, Armenia, 112. (in Russian)

 
 
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