Results 11 to 20 of about 731,502 (69)
Cyclotomy and block designs in cyclic neofields.
, 1989 The cyclotomy of finite fields has been used quite successfully to construct combinatorial designs. However, finite fields exist only for prime power orders. Cyclic neofields generalize finite fields by denying the axiom of additive associativity.
Malarkey, Martin Matthew
core +6 more sources
A Kind of Quaternary Sequences of Period 2pmqn and Their Linear Complexity
Complexity, Volume 2020, Issue 1, 2020., 2020 Sequences with high linear complexity have wide applications in cryptography. In this paper, a new class of quaternary sequences over F4 with period 2pmqn is constructed using generalized cyclotomic classes. Results show that the linear complexity of these sequences attains the maximum.
Qiuyan Wang +4 more
wiley +1 more source
Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over Fl
Complexity, Volume 2020, Issue 1, 2020., 2020 Generalized cyclotomic sequences of period pq have several desirable randomness properties if the two primes p and q are chosen properly. In particular, Ding deduced the exact formulas for the autocorrelation and the linear complexity of these sequences of order 2. In this paper, we consider the generalized sequences of order 4.
Yuhua Sun +5 more
wiley +1 more source
Beyond uniform cyclotomy [PDF]
Cyclotomy, the study of cyclotomic classes and cyclotomic numbers, is an area of number theory first studied by Gauss. It has natural applications in discrete mathematics and information theory.
Paterson, Maura B. +2 more
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Euler products, cyclotomy, and coding [PDF]
, 1972 We present a familiar manipulation of Euler products and L-series, and derive a recent theorem of Carlitz and an old theorem of Davenport-Hasse. We then show that the theorem of Davenport-Hasse can be used to shed considerable light on certain questions ...
McEliece, Robert J, Rumsey, Howard
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Generalized Abstracted Mean Values [PDF]
, 1998 In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and ...
Qi, Feng
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Construction of Frequency Hopping Sequence Set Based upon Generalized Cyclotomy
CoRR, 2010 Frequency hopping (FH) sequences play a key role in frequency hopping spread spectrum communication systems. It is important to find FH sequences which have simultaneously good Hamming correlation, large family size and large period. In this paper, a new set of FH sequences with large period is proposed, and the Hamming correlation distribution of the ...
Fang Liu +3 more
openaire +2 more sources
A generalized formula of Hardy
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 369-378, 1994., 1994 We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi‐crystal structure and self‐similarity. Other recent work has given continued fractions for the type of functions herein. Hardy originally gave such formulae as ours in early work on gap power series which led to his and Littlewood′s High Indices ...
Geoffrey B. Campbell
wiley +1 more source
Cyclotomy over products of finite fields and combinatorial applications [PDF]
, 2010 We introduce a new kind of cyclotomy over a cartesian product R of finitely many finite fields, which generalizes the classical cases of only one or two fields.
Fernández-Alcober, Gustavo A. +2 more
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On the linear complexity of a new generalized cyclotomic sequence with length mover GF(h)
Tongxin xuebao, 2017 Based on the Ding-generalized cyclotomy,a new class of generalized cyclotomic sequences with length pm over the finite field of power of odd prime order was constructed,and the sequence was balanced.The linear complexity of the sequences was determined ...
Long-fei LIU, Kai YANG, Xiao-yuan YANG
doaj +2 more sources