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1. Don't Use it Twice! Solving Relaxed Linear Equivalence Problems NSTL国家科技图书文献中心

Alessandro Budroni |  Jesus-Javier Chi-Dom...... -  《Advances in Cryptology - ASIACRYPT 2024,Part VIII》 -  International Conference on the Theory and Application of Cryptology and Information Security - 2025, - 35~65 - 共31页

摘要: relies on an extension of LCE to the rank metric |  with additional properties, including linkable ring |  enables a polynomial time (and memory) algorithm to | The Linear Code Equivalence (LCE) Problem has |  received increased attention in recent years due to its
关键词: Algebraic attack |  Code equivalence |  Group actions |  Cryptanalysis |  Post-quantum cryptography

2. Rings with divisibility on descending chains of ideals NSTL国家科技图书文献中心

Safi, Oussama Aymane... |  Mahdou, Najib... -  《Czechoslovak Mathematical Journal》 - 2024,74(3) - 665~673 - 共9页

摘要: rings to the trivial, amalgamation and polynomial ring |  ring satisfying DCCd condition. At the end of this | This paper deals with the rings which satisfy |  DCCd condition. This notion has been introduced |  recently by R. Dastanpour and A. Ghorbani (2017) as a
关键词: DCCd |  amalgamation of ring |  trivial ring extension |  Noetherian ring |  Artinian ring |  polynomial ring extension |  AMALGAMATED DUPLICATION

3. The Automorphisms of Differential Extensions of Characteristic p NSTL国家科技图书文献中心

Pumplun, S. -  《Results in mathematics》 - 2024,79(5) - ARTN 196~ - 共14页

摘要: automorphisms of the differential polynomial ring used in the |  of a purely inseparable field extension K of |  extension of F. Associative differential extensions are | Nonassociative differential extensions are |  generalizations of associative differential extensions, either
关键词: Differential polynomial ring |  skew polynomial |  differential polynomial |  differential extension |  nonassociative division algebra |  automorphisms

4. On derivations of differential Ore extensions NSTL国家科技图书文献中心

Abella, Andres |  Pan, Ivan -  《Journal of algebra and its applications》 - 2024,23(3) - 共22页

摘要: the case where R is the polynomial ring ??[x] over a | Let delta : R -> R be a derivation of a ring R |  extension of R defined by putting ta = at + delta(a) for | , and let T = R[t; delta] be the differential Ore |  all a is an element of R. We describe the
关键词: Derivation |  Ore extension

5. The Local Picard Group of a Ring Extension NSTL国家科技图书文献中心

Spirito, Dario -  《Mediterranean journal of mathematics》 - 2024,21(7) - 共25页

摘要:, when D subset of R is a ring extension that satisfies |  polynomial D[X] or the ring of integer-valued polynomials |  certain properties (for example, when R is the ring of | Given an integral domain D and a D-algebra R | , we introduce the local Picard group LPic(R, D) as
关键词: Picard group |  ring extension |  Jaffard families |  integer-valued polynomials

6. Forest polynomials and the class of the permutahedral variety NSTL国家科技图书文献中心

Nadeau, Philippe |  Tewari, Vasu -  《Advances in Mathematics》 - 2024,453 - 共33页

摘要:We study a basis of the polynomial ring that |  studying the quotient of the polynomial ring modulo the |  multivariate extension of mixed Eulerian numbers. (c) 2024 |  we call forest polynomials. This family of |  polynomials is indexed by a combinatorial structure called
关键词: Permutahedral variety |  Reduced words |  Quasisymmetric polynomials |  Quasisymmetric coinvariants |  Parking procedures

7. Pushing the Limit of Vectorized Polynomial Multiplications for NTRU Prime NSTL国家科技图书文献中心

Vincent Hwang -  《Information Security and Privacy: 29th Australasian Conference, ACISP 2024, Sydney, NSW, Australia, July 15-17, 2024, Proceedings, Part II》 -  Australasian Conference on Information Security and Privacy - 2024, - 84~102 - 共19页

摘要: vectorized polynomial multipliers for the ring Z_(4591)[x |  arithmetic for polynomial multiplications in software |  instruction set or extension. We delve into the intricacies |  of this process for polynomial multiplications. In |  detail the vectorization of polynomial multiplication
关键词: Vectorization |  Polynomial multiplication |  Fast fourier transform |  NTRU prime

8. Descent study of the Lie algebra of derivations of certain infinite-dimensional Lie algebras NSTL国家科技图书文献中心

Guo, Hongyan |  Kuttler, Jochen... -  《Manuscripta mathematica》 - 2024,173(3/4) - 1195~1215 - 共21页

摘要: polynomial ring in finitely many variables over k), and |  ring extension S/R. The interesting infinite |  g?(k) R, where R is a k-ring (usually a Laurent | Let g be a finite-dimensional perfect Lie |  algebra over a field k of characteristic 0. In infinite
关键词: 11E72 |  14L30 |  14E20 |  17B67 |  17B01

9. Quantized Weyl algebras, the double centralizer property, and a new first fundamental theorem for Uq(gln) NSTL国家科技图书文献中心

Letzter Gail |  Sahi Siddhartha... -  《Journal of physics, A. Mathematical and theoretical》 - 2024,57(19) - 共67页

摘要: coordinate ring of the space of m × n matrices, equipped | . We define a q-analogue of the algebra of polynomial |  extension of scalars, but we give a new construction of PD | Abstract Let P:=Pm×n denote the quantized |  with natural actions of the quantized enveloping
关键词: double centralizer theorem |  quantized Weyl algebras |  first fundamental theorem |  quantum groups

10. Secure Data Storage in Cloud Computing Using Code Based McEliece and NTRU Cryptosystems NSTL国家科技图书文献中心

Geetha Rani E |  Chetana Tukkoji -  《SN Computer Science》 - 2024,5(4) - 396-1~396-14 - 共14页

摘要: different extension degrees. Using the results of the |  security using NTRUs (nth degree truncated polynomial |  ring units) together with a code based McEliece | Information must be kept private and secure |  because it is shared when people communicate online
关键词: McEleice |  RLCE |  Cloud |  AWS |  Cryptosystem |  NTRU |  Security
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