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Ozhan Genc 《Journal of Pure and Applied Algebra》2018,222(1):213-240
In this paper, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of , Q (smooth quadric in ), (smooth cubic in ) or (complete intersection of two quadrics in ) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in . Also, we prove that there exist stable rank two Ulrich bundles with on a generic member of this deformation class. 相似文献
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Two new families of differentially 4-uniform permutations over are constructed by modifying the values of the inverse function on some subfield of and by applying affine transformations on the function. The resulted 4-uniform permutations have high nonlinearity and algebraic degree. A family of differentially 6-uniform permutations with high nonlinearity and algebraic degree is also constructed by making the modification on an affine subspace of . 相似文献
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Let be a finite field of odd order and , where are positive integers, are distinct odd primes and . In this paper, we study the irreducible factorization of over and all primitive idempotents in the ring .Moreover, we obtain the dimensions and the minimum Hamming distances of all irreducible cyclic codes of length over . 相似文献
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Cyril Lacoste 《Comptes Rendus Mathematique》2018,356(2):141-145
We prove that the set of symplectic lattices in the Siegel space whose systoles generate a subspace of dimension at least 3 in does not contain any -equivariant deformation retract of . 相似文献
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