Results 91 to 100 of about 7,081,606 (216)

Cyclotomic numbers [PDF]

, 2017
A cyclotomic number is the cardinality of the intersection between a translated cyclotomic coset and another cyclotomic coset. These cyclotomic numbers are deeply connected to character sums in number theory and have applications in information theory ...
King, Jacob
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Notes about the linear complexity of Ding-Helleseth generalized cyclotomic sequences of length pq over the finite field of order p or q

ITM Web of Conferences, 2017
We investigate three classes of Ding-Helleseth-generalized cyclotomic sequences of length pq. We derive the linear complexity and the minimal polynomial of above-mentioned sequences over the finite fields of orders p and q, where p and q are two odd ...
Edemskiy Vladimir, Sokolovskiy Nikita
doaj   +1 more source

Class numbers and 𝜇-invariants of cyclotomic fields

, 1974
We give a new upper bound for the μ \mu -invariant of a cyclotomic field by estimating the first factor of the class number of the p p th cyclotomic field ( p p an odd prime).
T. Metsänkylä
core   +1 more source

On an index formula for the relative class number of a cyclotomic number field [PDF]

, 1990
With regard to the relative class number of a cyclotomic number field, the relation between Girstmair's formula and Maillet's determinant is ...
Akira Endô, Endô, Akira
core   +1 more source

Unifying error-correcting code/Narain CFT correspondences via lattices over integers of cyclotomic fields

Physics Letters B
We identify Narain conformal field theories (CFTs) that correspond to code lattices for quantum error-correcting codes (QECC) over integers of cyclotomic fields Q(ζp) (ζp=e2πip) for general prime p≥3. This code-lattice construction is a generalization of
Shun'ya Mizoguchi, Takumi Oikawa
doaj   +1 more source

On a Special Metric in Cyclotomic Fields

Let $p$ be an odd prime, and let $ω$ be a primitive $p$th root of unity. In this paper, we introduce a metric on the cyclotomic field $K=\mathbb{Q}(ω)$. We prove that this metric has several remarkable properties, such as invariance under the action of the Galois group.
Saettone, Katerina, Zaharescu, Alexandru, Zhang, Zhuo   +2 more
openaire   +4 more sources

Some Implications on Amorphic Association Schemes [PDF]

AMS classifications: 05E30, 05B20;amorphic association scheme;strongly regular graph;(negative) Latin square type;cyclotomic association scheme;strongly regular ...
Dam, E.R. van, Muzychuk, M.
core  

On the quantum attacks against schemes relying on the hardness of finding a short generator of an ideal in ℚ(𝜁2𝑠)

Journal of Mathematical Cryptology, 2019
A family of ring-based cryptosystems, including the multilinear maps of Garg, Gentry and Halevi [Candidate multilinear maps from ideal lattices, Advances in Cryptology—EUROCRYPT 2013, Lecture Notes in Comput. Sci.
Biasse Jean-François, Song Fang
doaj   +1 more source

Linear Codes from Two Weakly Regular Plateaued Balanced Functions. [PDF]

Entropy (Basel), 2023
Yang S, Zhang T, Li P.
europepmc   +1 more source

The Stickelberger Elements and the Cyclotomic Units in the Cyclotomic $\Bbb Z_p$-Extensions

, 2001
For an odd prime number $p$ and a cyclotomic field $K$, we will describe a relation between the Stickelberger element and the cyclotomic unit which are defined with respect to the cyclotomic $\Zp$-extension over $K$. This is a generalization of a theorem
Tsuji Takae
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