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For polynomial sequence of binomial type we propose a new recurrence formula equivalent to a determinantal form of the sequence, from which known and unknown properties are deducted. Relationships whit $${\delta}$$ δ –functionals, $${\delta}$$ δ –operators and generating function are pointed out. Finally, some classical examples are studied, highlighting interesting determinantal...
The construction of orthogonal Daubechies wavelets via two channel perfect reconstruction filter bank requires the identification of necessary conditions that the coefficients of the filters and the roots of binomial polynomials associated with it should exhibit. In this paper, Biorthogonal Daubechies families of wavelets are considered and their filters are derived. In particular, the Biorthogonal...
In this paper, a scalable VLSI multiplication architecture based on Montgomery multiplication (MM) algorithm for elliptic curve cryptography (ECC) over GF(pm), where p is a positive prime and m is the degree of extension of the base field GF(p), is presented. The elements of the GF(pm) are in polynomial basis (PB) representation. The coefficients of the polynomials are represented in Montgomery residue...
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