Matches in SemOpenAlex for { <https://semopenalex.org/work/W1964339966> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1964339966 endingPage "212" @default.
- W1964339966 startingPage "185" @default.
- W1964339966 abstract "In this work, we are interested in non-trivial upper bounds on the spectral norm of binary matrices M from { - 1 , 1 } N × N . It is known that the distributed Boolean function represented by M is hard to compute in various restricted models of computation if the spectral norm is bounded from above by N 1 - ɛ , where ɛ > 0 denotes a fixed constant. For instance, the size of a two-layer threshold circuit (with polynomially bounded weights for the gates in the hidden layer, but unbounded weights for the output gate) grows exponentially fast with n ≔ log N . We prove sufficient conditions on M that imply small spectral norms (and thus high computational complexity in restricted models). Our general results cover specific cases, where the matrix M represents a bit (the least significant bit or other fixed bits) of fundamental functions. Functions like the discrete multiplication and division, as well as cryptographic functions such as the Diffie–Hellman function (IEEE Trans. Inform. Theory 22(6) (1976) 644–654) and the decryption functions of the Pointcheval (Advances in Cryptology—Proceedings of EUROCRYPT ’99, Lecture Notes in Computer Science, Springer, Berlin, 1999, pp. 239–254) and the El Gamal (Advances in Cryptology—CRYPTO ’84, 1984, pp. 10–18) cryptosystems can be addressed by our technique. In order to obtain our results, we make a detour on exponential sums and on spectral norms of matrices with complex entries. This method might be considered interesting in its own right." @default.
- W1964339966 created "2016-06-24" @default.
- W1964339966 creator A5002016815 @default.
- W1964339966 creator A5032272542 @default.
- W1964339966 date "2005-08-01" @default.
- W1964339966 modified "2023-10-14" @default.
- W1964339966 title "Threshold circuit lower bounds on cryptographic functions" @default.
- W1964339966 cites W1482047619 @default.
- W1964339966 cites W1505785519 @default.
- W1964339966 cites W1515707347 @default.
- W1964339966 cites W1551926475 @default.
- W1964339966 cites W1561602969 @default.
- W1964339966 cites W1569217423 @default.
- W1964339966 cites W1604651566 @default.
- W1964339966 cites W1660562555 @default.
- W1964339966 cites W191763761 @default.
- W1964339966 cites W1948038071 @default.
- W1964339966 cites W2008671796 @default.
- W1964339966 cites W2018462124 @default.
- W1964339966 cites W2042226948 @default.
- W1964339966 cites W2077595427 @default.
- W1964339966 cites W2080210666 @default.
- W1964339966 cites W2081163625 @default.
- W1964339966 cites W2097575812 @default.
- W1964339966 cites W2097886040 @default.
- W1964339966 cites W2108834246 @default.
- W1964339966 cites W2132172731 @default.
- W1964339966 cites W2143355494 @default.
- W1964339966 cites W2156186849 @default.
- W1964339966 cites W2610857016 @default.
- W1964339966 cites W2616291750 @default.
- W1964339966 cites W574604760 @default.
- W1964339966 doi "https://doi.org/10.1016/j.jcss.2005.03.001" @default.
- W1964339966 hasPublicationYear "2005" @default.
- W1964339966 type Work @default.
- W1964339966 sameAs 1964339966 @default.
- W1964339966 citedByCount "3" @default.
- W1964339966 crossrefType "journal-article" @default.
- W1964339966 hasAuthorship W1964339966A5002016815 @default.
- W1964339966 hasAuthorship W1964339966A5032272542 @default.
- W1964339966 hasConcept C105355099 @default.
- W1964339966 hasConcept C11413529 @default.
- W1964339966 hasConcept C114614502 @default.
- W1964339966 hasConcept C118615104 @default.
- W1964339966 hasConcept C121332964 @default.
- W1964339966 hasConcept C134306372 @default.
- W1964339966 hasConcept C141796577 @default.
- W1964339966 hasConcept C17349429 @default.
- W1964339966 hasConcept C178489894 @default.
- W1964339966 hasConcept C187455244 @default.
- W1964339966 hasConcept C2780595030 @default.
- W1964339966 hasConcept C33923547 @default.
- W1964339966 hasConcept C34388435 @default.
- W1964339966 hasConcept C62520636 @default.
- W1964339966 hasConcept C6295992 @default.
- W1964339966 hasConcept C84114770 @default.
- W1964339966 hasConceptScore W1964339966C105355099 @default.
- W1964339966 hasConceptScore W1964339966C11413529 @default.
- W1964339966 hasConceptScore W1964339966C114614502 @default.
- W1964339966 hasConceptScore W1964339966C118615104 @default.
- W1964339966 hasConceptScore W1964339966C121332964 @default.
- W1964339966 hasConceptScore W1964339966C134306372 @default.
- W1964339966 hasConceptScore W1964339966C141796577 @default.
- W1964339966 hasConceptScore W1964339966C17349429 @default.
- W1964339966 hasConceptScore W1964339966C178489894 @default.
- W1964339966 hasConceptScore W1964339966C187455244 @default.
- W1964339966 hasConceptScore W1964339966C2780595030 @default.
- W1964339966 hasConceptScore W1964339966C33923547 @default.
- W1964339966 hasConceptScore W1964339966C34388435 @default.
- W1964339966 hasConceptScore W1964339966C62520636 @default.
- W1964339966 hasConceptScore W1964339966C6295992 @default.
- W1964339966 hasConceptScore W1964339966C84114770 @default.
- W1964339966 hasIssue "2" @default.
- W1964339966 hasLocation W19643399661 @default.
- W1964339966 hasOpenAccess W1964339966 @default.
- W1964339966 hasPrimaryLocation W19643399661 @default.
- W1964339966 hasRelatedWork W1483931523 @default.
- W1964339966 hasRelatedWork W1964339966 @default.
- W1964339966 hasRelatedWork W1979124844 @default.
- W1964339966 hasRelatedWork W2017181131 @default.
- W1964339966 hasRelatedWork W2124218043 @default.
- W1964339966 hasRelatedWork W2144560442 @default.
- W1964339966 hasRelatedWork W2530499902 @default.
- W1964339966 hasRelatedWork W2943141815 @default.
- W1964339966 hasRelatedWork W4310186734 @default.
- W1964339966 hasRelatedWork W2181424228 @default.
- W1964339966 hasVolume "71" @default.
- W1964339966 isParatext "false" @default.
- W1964339966 isRetracted "false" @default.
- W1964339966 magId "1964339966" @default.
- W1964339966 workType "article" @default.