Results 21 to 30 of about 1,812,540 (189)
Construction of quantum BCH code based on cyclotomic coset
Tongxin xuebao, 2021 Quantum-error-correcting code can overcome quantum decoherence efficiently, which is the key technology to realize quantum computers.A series of quantum BCH code was proposed based on classical codes.First, a general way of well-chosen cyclotomic coset ...
Lijuan XING, Zhuo LI
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On cyclotomic elements and cyclotomic subgroups in $K_{2}$ of a field [PDF]
Acta Arithmetica, 2016 The problem of expressing an element of K_2(F) in a more explicit form gives rise to many works. To avoid a restrictive condition in a work of Tate, Browkin considered cyclotomic elements as the candidate for the element with an explicit form. In this paper, we modify and change Browkin's conjecture about cyclotomic elements into more precise forms, in
Xu, Kejian, Sun, Chaochao
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The Class Number of the Cyclotomic Field [PDF]
Proceedings of the National Academy of Sciences, 1949 Let g denote an odd prime, and h = h(g) the class number of the cyclotomic field R(), where is a primitive gth root of unity. It is known that we can write
Ankeny, Nesmith C., Chowla, Sarvadaman
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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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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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Cyclotomic splitting fields [PDF]
Proceedings of the American Mathematical Society, 1970 Suppose k is an algebraic nunmber field and D a finite- dimensional central division algebra over k. It is well known that D has infinitely many maximal subfields which are cyclic exten- sions of k. From the point of view of group representations, how- ever, the natural splitting fields are the cyclotomnic ones.
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ON WEIL NUMBERS IN CYCLOTOMIC FIELDS [PDF]
International Journal of Number Theory, 2009 In this paper, we study the p-adic behavior of Weil numbers in the cyclotomic ℤp-extension of the pth cyclotomic field. We determine the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in the Iwasawa theory.
Anglès, Bruno, Beliaeva, Tatiana
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On Values of Cyclotomic Polynomials. V [PDF]
, 2003 In this paper, we present three results on cyclotomic polynomials. First, we present results about factorization of cyclotomic polynomials over arbitrary fields K.
Motose, Kaoru, Kaoru Motose
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Efficient Algorithm for Finding Roots of Error-Locator Polynomials
IEEE Access, 2021 A novel method for finding roots of polynomials over finite fields has been proposed. This method is based on the cyclotomic discrete Fourier transform algorithm. The improvement is achieved by using the normalized cyclic convolutions, which have a small
Sergei Valentinovich Fedorenko
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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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