An economical representation of underdeter-mined data and superimposed codes | Applied Discrete Mathematics. Supplement. 2013. № 6.

An economical representation of underdeter-mined data and superimposed codes

For underdetermined data, economical representations making it possible to reconstruct the initial data are proposed. A connection between representations and superimposed codes is found, and bounds for representations length are obtained.

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Keywords

представление недоопределённых данных, дизъюнктивный код, свободная от покрытий матрица, underdetermined data representation, superimposed code, cover-free matrix

Authors

NameOrganizationE-mail
Sholomov L. A.Institute of Systems Analysis, Russian Academy of Sciences (Moscow)sholomov@isa.ru
Всего: 1

References

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Kautz W. H. and Singleton R. C. Nonrandom binary superimposed codes // IEEE Trans. Inform. Theory. 1964. V. 10. No. 4. P. 363-377.
Kumar R., Rajagopalan S., and Sahai A. Coding construction for blacklisting problems without computational assumptions // CRYPTO-99. LNCS. 1999. V. 1666. P. 609-623.
Шоломов Л. А. Двоичные представления недоопределённых данных и дизъюнктивные коды // Прикладная дискретная математика. 2013. №1(19). С. 17-33.
 An economical representation of underdeter-mined data and superimposed codes | Applied Discrete Mathematics. Supplement. 2013. № 6.

An economical representation of underdeter-mined data and superimposed codes | Applied Discrete Mathematics. Supplement. 2013. № 6.