Results 211 to 220 of about 165,995,511 (248)

ac4C modification sites prediction in human mRNA: a complete review. [PDF]

Brief Bioinform
Zulfiqar H, Ahmad RM, Lin H, Yu XL.
europepmc   +1 more source

On Representations of Cyclic Groups over the Ring of Gaussian Integers

On Representations of Cyclic Groups over the Ring of Gaussian Integers
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A zero-knowledge identification protocol in the ring of Gaussian integers

Journal of Discrete Mathematical Sciences and Cryptography, 2016
AbstractIn 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 roots of a Gaussian integer over ℤn.
Maheswara Rao Valluri
exaly   +2 more sources

A New Verifiable Multi-Secret Sharing Scheme Over the Ring of Gaussian Integers

2018 2nd IEEE Advanced Information Management,Communicates,Electronic and Automation Control Conference (IMCEC), 2018
T32 paper proposes a ( $t, n$ ) threshold multi-secret sharing scheme over the ring of Gaussian integers. The scheme does not need a secure channel and participants select their secret shadows by themselves. Moreover, the difficulty of factoring the modulus is enhanced.
Xuedong Dong, Yuan Gao, Hongyun Gao
exaly   +2 more sources

Some aspects of zero-divisor graphs for the ring of Gaussian integers modulo $$2^{n}$$

Journal of Applied Mathematics and Computing, 2021
Deepa Sinha, Bableen Kaur
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The non-zero divisor graph for the ring of Gaussian integers

AIP Conference Proceedings
Nor Haniza Sarmin, Sanhan Muhammad Salih Khasraw   +1 more
exaly   +2 more sources

On Standard Forms of the Pairs of Matrices Over the Ring of Gaussian Integers with Respect to the (z,k)-Equivalence

Journal of Mathematical Sciences
V M Petrychkovych
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THE DIGRAPH OF THE SQUARE MAPPING ON QUOTIENT RINGS OVER THE GAUSSIAN INTEGERS

International Journal of Number Theory, 2011
In this work, we investigate the structure of the digraph [Formula: see text] associated with the square mapping on the ring of Gaussian integers by using the exponent of the unit group modulo γ. The formula for the fixed points of [Formula: see text] is established.
Meemark, Yotsanan, Maingam, Nawaphon
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Sum of Divisors in a Ring of Gaussian Integers

Ukrainian Mathematical Journal, 2001
Summary: We construct an asymptotic formula for a summation function for \(\sigma_a(\alpha)\), where \(\sigma_a(\alpha)\) is the sum of the \(a\)-th powers of the norms of divisors of the Gaussian integer \(\alpha\) on an arithmetic progression \(\alpha\sim\alpha_0\pmod\gamma\) and in a narrow sector \(\phi_1\leq\operatorname {arg ...
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Supplement to Computing an Arithmetic Constant Related to the Ring of Gaussian Integers

Mathematics of Computation, 1985
10 NP = 0; YC = 0: NX = 0 R2 0: DN = 0: C 0: F2 0: W2 =0: EP = .000 001: K = Q: X 0: Y 0: W1 0 20 S = 0: G = 0: IR = 0: L2 = 0: L = 0: U 1: B2 =0: B = 0 :R 0: Ml = 0 : HI = 0 = M2 = 0 LX = 0 V2 = 0 30 XB = 0: C2 = 0: D 2: YX = 0: N = 1000: YB = 0: BX = 0: L1 = 0: Z = 0 P = 1.0001 40 DIM RR(N) RR(D) = 4 L = D*SQR(N/V): L2 = L*L: Li = L2/4 100 FOR XB = Z
F. Graimain, M. Weber
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