Essays about: "Irreducible Polynomial"
Found 3 essays containing the words Irreducible Polynomial.
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1. Alternative Polynomials for Rijndael : Diffusion Analysis
University essay from Linnéuniversitetet/Institutionen för datavetenskap (DV)Abstract : The Rijndael cryptosystem uses a particular polynomial to create its constants. All calculations within the encryption and decryption layers are based on this polynomial. This arouse the curiosity to see what happens if the polynomial is substituted by other polynomials. READ MORE
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2. Reducibility of Polynomials over Finite Fields
University essay from Institutionen för datavetenskap, fysik och matematik, DFMAbstract : Reducibility of certain class of polynomials over Fp, whose degree depends on p, can be deduced by checking the reducibility of a quadratic and cubic polynomial. This thesis explains how can we speeds up the reducibility procedure. .. READ MORE
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3. Grading of the affine line and its Quot scheme
University essay from KTH/Matematik (Inst.)Abstract : For a field kand a grading of the polynomial ringk[t]with Hilbert functionh, weconsider the Quot functor QuothV , where V = ? di =1k[t]is a finitely generated and free k[t]-module. The Quot functor parametrizes, for any k-algebra B, homogeneous B [t]-submodulesN⊆B⊗kVsuch that the graded components of the quotient( B⊗kV)/Nare locally freeB-modules of rank given byh. READ MORE