Results 11 to 20 of about 217 (158)
Renormalization techniques for inflation systems and some of their applications. [PDF]
Acta Crystallogr A Found AdvIn this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Baake M +4 more
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Class numbers of cyclotomic function fields [PDF]
Mathematics of Computation, 1986 Using results of Galovich and Rosen the plus and minus factors for the class number of the cyclotomic function field associated with irreducibles of degree three and four over the field with three elements are computed. As a consequence it is shown that the analogue to a result of Kummer on the p
Ireland, K. F., Small, R. D.
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IET Information Security, 2021 Multi‐key fully homomorphic encryption (MKFHE) allows computations on ciphertexts encrypted by different users, which can be applied to implement secure multi‐party computing (MPC).
TanPing Zhou +5 more
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IEEE Access, 2022 Frequency-hopping sequences (FHSs) have been widely applied in frequency-hopping code-division multiple-access (FH-CDMA) systems, since they can be used for transmitting messages efficiently along with switching frequencies at set intervals by each ...
Shanding Xu, Jiafu Mi
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Computing the 2-Adic Complexity of Two Classes Generalized Cyclotomic Sequences
IEEE Access, 2020 This paper contributes to analyze the 2-adic complexity of a class of Ding-Helleseth generalized cyclotomic sequences and a class of Whiteman generalized cyclotomic sequences of periods of $N=pq$ , where $p$ and $q$ are two odd distinct primes with
Shiwen Sun +3 more
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IEEE Access, 2021 The research of cyclotomy theory can be traced to Gauss and it has been applied to many fields such as cryptography, coding theory, and combinatorics. According to $v$ prime numbers or compound words, the incision on the residue-like ring ${\mathbb Z ...
Mingyue Fan
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Information, 2021 Linear complexity is an important criterion to characterize the unpredictability of pseudo-random sequences, and large linear complexity corresponds to high cryptographic strength.
Jiang Ma +3 more
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On the Linear Complexity of New Generalized Cyclotomic Binary Sequences of Order Two and Period pqr
Tsinghua Science and Technology, 2016 Periodic sequences over finite fields, constructed by classical cyclotomic classes and generalized cyclotomic classes, have good pseudorandom properties.
Longfei Liu +3 more
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Unification of Chowla’s Problem and Maillet–Demyanenko Determinants
Mathematics, 2023 Chowla’s (inverse) problem (CP) is to mean a proof of linear independence of cotangent-like values from non-vanishing of L(1,χ)=∑n=1∞χ(n)n. On the other hand, we refer to determinant expressions for the (relative) class number of a cyclotomic field as ...
Nianliang Wang +2 more
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ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS
Bulletin of the Korean Mathematical Society, 2015 Summary: A cyclotomic polynomial \(\Phi_n(x)\) is said to be ternary if \(n=pqr\) for three distinct odd primes ...
Zhang, Bin, Zhou, Yu
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