Results 71 to 80 of about 217 (158)

Prime factors of cyclotomic class numbers [PDF]

Mathematics of Computation, 1977
Let p be an odd prime. The "first factor" h
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Joint Blind Identification of Cyclic Codes and Synchronization Scramblers From Synchronous Scrambling Sequences of Cyclic Codes Based on Soft Decision Information

IET Communications, Volume 20, Issue 1, January/December 2026.
A communication model for collaborative and non‐collaborative scenarios is proposed, where the error correction code used by the transmitter is a cyclic code and the scrambler used is a synchronous scrambler. The contents of the dashed boxes are the tasks of the non‐collaborative receiver and our research targets the contents of the red boxes, that is,
Yong Ding, Lei Ye, Kun Han, Peng Wang, Li Yu, Jialong Zhan   +5 more
wiley   +1 more source

The dual and trace bases of the type (4,7) Gauss normal basis over finite fields

四川大学学报. 自然科学版, 2016
Let q be a power of the prime p and let Fqbe the finite field with q elements.Recently, by characterizing some properties of cyclotomic numbers, they obtain the explicit formula for the complexity of a class of Gauss period normal bases over finite ...
WEI Jie, LI Xue-Lian, LIAO Qun-Ying
doaj  

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

Zeta Function, Class Number and Cyclotomic Units of Cyclotomic Function Fields

Advanced Studies in Pure Mathematics, 2018
Cyclotomic function fields was introduced and used by D. Hayes [15] in 1974 to construct the maximal abelian extension of rational function fields $F_q(T)$. Since then many basic properties on cyclotomic fields have been researched by S. Galovich and M. Rosen [9, 10], D. Goss [13, 14], etc.
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Repeated-Root Constacyclic Codes of Length np^s from Half-Cyclotomic Defining Sets

Mathematics
Repeated-root constacyclic codes form an important class of algebraic error-correcting codes, combining the cyclic symmetry of constacyclic codes with the additional multiplicity structure produced by repeated roots.
Alhanouf Ali Alhomaidhi, Sami H. Saif
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

Entanglement-Assisted Quantum Codes from Cyclic Codes. [PDF]

Entropy (Basel), 2022
Pereira FRF, Mancini S.
europepmc   +1 more source

Unit groups of some multiquadratic number fields and 2-class groups. [PDF]

Period Math Hung, 2022
Chems-Eddin MM.
europepmc   +1 more source

The class group of all cyclotomic integers

Journal of Pure and Applied Algebra, 1981
For each nz 1, let &,=e2ni’n and let O,=Z[[,,] be the ring of integers in the cyclotomic field K, of nth roots of unity. We denote 0, = li,m On = Un On the ring of all cyclotomic integers, the direct limit being taken with respect to the natural inclusions 0,-O, for n dividing m.
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