Results 21 to 30 of about 9,843,422 (355)
A Note on the Girth of (3, 19)-Regular Tanner’s Quasi-Cyclic LDPC Codes
IEEE Access, 2021 In this article, we study the cycle structure of (3, 19)-regular Tanner’s quasi-cyclic (QC) LDPC codes with code length $19p$ , where $p$ is a prime and $p\equiv 1~(\bmod ~57)$ , and transform the conditions for the existence of cycles of ...
Manjie Zhou +4 more
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Ramification in quartic cyclic number fields $K$ generated by $x^4+px^2+p$ [PDF]
Mathematica Bohemica, 2021 If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prime of the form $4+n^2$, we give appropriate generators of $K$ to obtain the explicit factorization of the ideal $q{\mathcal O}_K$, where $q$ is a positive rational
Julio Pérez-Hernández +1 more
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Sensors, 2022 The advent of the Internet of Things (IoT) has enabled millions of potential new uses for consumers and businesses. However, with these new uses emerge some of the more pronounced risks in the connected object domain. Finite fields play a crucial role in
Anissa Sghaier +5 more
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Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography
Cybernetics and Information Technologies, 2021 Short Weierstrass elliptic curves with underlying hard Elliptic Curve Discrete Logarithm Problem (ECDLP) are widely used in cryptographic applications. A notion of security called Elliptic Curve Cryptography (ECC) security is also suggested in literature
Abhishek Kunal +1 more
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Type-II QC-LDPC Codes From Multiplicative Subgroup of Prime Field
IEEE Access, 2020 A quasi-cyclic (QC) low-density parity-check (LDPC) code is called type-II, if the maximum weight over all circulants appearing in the parity-check matrix has the value of two. On the basis of multiplicative subgroup analysis for the prime field, a novel
Guohua Zhang +4 more
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Numerical simulation and first-order hazard analysis of large co-seismic tsunamis generated in the Puerto Rico trench: near-field impact on the North shore of Puerto Rico and far-field impact on the US East Coast [PDF]
Natural Hazards and Earth System Sciences, 2010 We perform numerical simulations of the coastal impact of large co-seismic tsunamis, initiated in the Puerto Rican trench, both in far-field areas along the upper US East coast (and other Caribbean islands), and in more detail in the near-field, along ...
S. T. Grilli +5 more
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A New Model of Jupiter's Magnetic Field at the Completion of Juno's Prime Mission
Journal of Geophysical Research: Planets, 2021 A spherical harmonic model of the magnetic field of Jupiter is obtained from vector magnetic field observations acquired by the Juno spacecraft during 32 of its first 33 polar orbits.
J. Connerney +14 more
semanticscholar +1 more source
The distribution of prime ideals of imaginary quadratic fields [PDF]
Transactions of the American Mathematical Society, 2003 Let Q ( x , y ) Q(x, y) be a primitive positive definite quadratic form with integer coefficients. Then, for all ( s , t ) ∈ R 2 (s, t)\in \mathbb R^2 there exist (
Harman, Glyn +2 more
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On the Girth of Tanner (3, 13) Quasi-Cyclic LDPC Codes
IEEE Access, 2019 Girth is an important structural property of low-density parity-check (LDPC) codes. Motivated by the works on the girth of Tanner (3, 5), (3, 7), (3, 11), and (5, 7) quasi-cyclic (QC) LDPC codes, we, in this paper, study the girth of Tanner (3, 13) QC ...
Hengzhou Xu +4 more
doaj +1 more source
Characteristic of Rings. Prime Fields
Formalized Mathematics, 2015 Summary The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over
Schwarzweller, Christoph +1 more
openaire +3 more sources