Almost Independent and Weakly Biased Arrays: Efficient Constructions and Cryptologic Applications

Almost Independent and Weakly Biased Arrays: Eecient Constructions and Cryptologic Applications

The best known constructions for arrays with low bias are those from 1] and the exponential sum method based on the Weil-Carlitz-Uchiyama bound. They all yield essentially the same parameters. We present new eecient coding-theoretic constructions, which allow far-reaching generalizations and improvements. The classical constructions can be described as making use of Reed-Solomon codes. Our recu...

Almost n-Multiplicative Maps‎ between‎ ‎Frechet Algebras

For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. Th...

Convertible limited (multi-) verifier signature: new constructions and applications

A convertible limited (multi-) verifier signature (CL(M)VS) provides controlled verifiability and preserves the privacy of the signer. Furthermore, limited verifier(s) can designate the signature to a third party or convert it into a publicly verifiable signature upon necessity. In this proposal, we first present a generic construction of convertible limited verifier signature (CLVS) into which...

Eecient Constructions of ?biased Arrays, ?dependent Arrays and Authentication Codes

On upper and lower almost weakly continuous fuzzy multifunctions

The aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. Several characterizations and properties of these multifunctions along with their mutual relationships are established in $L$-fuzzy topological spaces