Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Table of Gaussian integer factorizations"'
Publikováno v:
Statistics & Probability Letters. 124:1-4
Let ( X 1 , … , X n ) be any n -dimensional centered Gaussian random vector, in this note the following expectation product inequality is proved: E ∏ j = 1 n f j ( X j ) ≥ ∏ j = 1 n E f j ( X j ) for functions f j , 1 ≤ j ≤ n , taking the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29d6c1314e48710767887d8897f8e4d0
https://doi.org/10.1016/j.spl.2016.12.018
https://doi.org/10.1016/j.spl.2016.12.018
Autor:
Shaohua Hong, Chong-Dao Lee
Publikováno v:
IEEE Signal Processing Letters. 24:515-519
Recently, the perfect Gaussian integer sequences have been widely used in modern wireless communication systems, such as code division multiple access and orthogonal frequency-division multiplexing systems. This letter presents two different methods
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a09a2d702a14929a4321589f2edfe527
https://doi.org/10.1109/lsp.2017.2674972
https://doi.org/10.1109/lsp.2017.2674972
Autor:
Akshaa Vatwani
Publikováno v:
Journal of Number Theory. 171:449-473
We show that there are infinitely many distinct rational primes of the form p 1 = a 2 + b 2 and p 2 = a 2 + ( b + h ) 2 , with a , b , h integers, such that | h | ≤ 246 . We do this by viewing a Gaussian prime c + d i as a lattice point ( c , d ) i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd94a42b0895bcfeb3527f8c9c74e1f6
https://doi.org/10.1016/j.jnt.2016.07.008
https://doi.org/10.1016/j.jnt.2016.07.008
Autor:
Marie MacCaig
Publikováno v:
Discrete Applied Mathematics
Discrete Applied Mathematics, Elsevier, 2017, 217 (2), pp.261--275. ⟨10.1016/j.dam.2016.09.016⟩
Discrete Applied Mathematics, 2017, 217 (2), pp.261--275. ⟨10.1016/j.dam.2016.09.016⟩
Discrete Applied Mathematics, Elsevier, 2017, 217 (2), pp.261--275. ⟨10.1016/j.dam.2016.09.016⟩
Discrete Applied Mathematics, 2017, 217 (2), pp.261--275. ⟨10.1016/j.dam.2016.09.016⟩
International audience; We investigate the complexity of the problem of finding an integer vector in the max-algebraic column span of a matrix, which we call the integer image problem. We show some cases where we can determine in strongly polynomial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f602935396dd62e2ad97c16c732550d
https://doi.org/10.1016/j.dam.2016.09.016
https://doi.org/10.1016/j.dam.2016.09.016
Autor:
Andreas Brack
Publikováno v:
Artificial Satellites. 51:123-134
The problem of integer or mixed integer/real valued parameter estimation in linear models is considered. It is a well-known result that for zero-mean additive Gaussian measurement noise the integer least-squares estimator is optimal in the sense of m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a3f7c3a1efecc188192160702cd4494
https://doi.org/10.1515/arsa-2016-0011
https://doi.org/10.1515/arsa-2016-0011
Autor:
Yan-Haw Chen, Chong-Dao Lee
Publikováno v:
IET Communications. 10:2416-2421
This study extends the authors’ earlier work to show that the Gaussian integer sequences of period p m − 1 with p − 2 non-zero out-of-phase autocorrelation values can be constructed from the known families of two-tuple-balanced p-ary sequences
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b5c793ebe2064e1d794a1e0ff2ed084
https://doi.org/10.1049/iet-com.2016.0404
https://doi.org/10.1049/iet-com.2016.0404
Publikováno v:
IET Communications. 10:1542-1552
A complex number whose real and imaginary parts are both integers is called a Gaussian integer. A Gaussian integer sequence is said to be perfect if it has an ideal periodic autocorrelation function (PACF) where all out-of-phase values are zero. Furt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de9ab912c85de2354052dc07fc1f1d27
https://doi.org/10.1049/iet-com.2015.1144
https://doi.org/10.1049/iet-com.2015.1144
Publikováno v:
INFORMS Journal on Computing. 28:483-499
We consider the integer L-shaped method for two-stage stochastic integer programs. To improve the performance of the algorithm, we present and combine two strategies. First, to avoid time-consuming exact evaluations of the second-stage cost function,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21d1117cb2833360a1206ddaf8bc90f6
https://doi.org/10.1287/ijoc.2016.0695
https://doi.org/10.1287/ijoc.2016.0695
Autor:
Maheswara Rao Valluri
Publikováno v:
Journal of Discrete Mathematical Sciences and Cryptography. 19:93-101
In this paper, a zero-knowledge identification protocol is proposed by extending from the rational of natural integers ℤ, to the ring of Gaussian integers ℤ[i]. Its security relies on the integer factorization problem and extraction of square roo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca1791ee0175fe7f368eb51cabee0484
https://doi.org/10.1080/09720529.2015.1101886
https://doi.org/10.1080/09720529.2015.1101886
Publikováno v:
IEEE Transactions on Communications. 64:365-376
A Gaussian integer is a complex number whose real and imaginary parts are both integers. Meanwhile, a sequence is defined as perfect if and only if it has an ideal periodic auto-correlation function. This paper proposes a method for constructing spar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d699e6c3349263ec93c3675908e1bba
https://doi.org/10.1109/tcomm.2015.2498185
https://doi.org/10.1109/tcomm.2015.2498185