An economical representation of underdetermined data and superimposed codes
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 27-29
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
Keywords:
underdetermined data representation, superimposed code, cover-free matrix.
@article{PDMA_2013_6_a13,
author = {L. A. Sholomov},
title = {An economical representation of underdetermined data and superimposed codes},
journal = {Prikladnaya Diskretnaya Matematika. Supplement},
pages = {27--29},
year = {2013},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a13/}
}
L. A. Sholomov. An economical representation of underdetermined data and superimposed codes. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 27-29. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a13/
[1] Sholomov L. A., “Elementy teorii nedoopredelennoi informatsii”, Prikladnaya diskretnaya matematika. Prilozhenie, 2009, no. 2, 18–42
[2] Kautz W. H., Singleton R. C., “Nonrandom binary superimposed codes”, IEEE Trans. Inform. Theory, 10:4 (1964), 363–377 | DOI | Zbl
[3] Kumar R., Rajagopalan S., Sahai A., “Coding construction for blacklisting problems without computational assumptions”, CRYPTO-99, LNCS, 1666, 1999, 609–623 | Zbl
[4] Sholomov L. A., “Dvoichnye predstavleniya nedoopredelennykh dannykh i diz'yunktivnye kody”, Prikladnaya diskretnaya matematika, 2013, no. 1(19), 17–33