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Prime editing – an update on the field [PDF]

open access: hybridGene Therapy, 2021
At Gene Therapy, we are continually monitoring the landscape of research, noting those technologies which advance the goal of clinical translation of the field.
Janine Scholefield, Patrick T. Harrison
semanticscholar   +4 more sources

Constructing Prime-Field Planar Configurations [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1984
An infinite class of planar configurations is constructed with distinct prime-field characteristic sets (i.e., configurations represented over a finite set of prime fields but over fields of no other characteristic). It is shown that if p p is sufficiently large, then every subset of k k primes between p
Gary Gordon
openaire   +2 more sources

Trans-saccadic priming in hemianopia: Sighted-field sensitivity is boosted by a blind-field prime

open access: hybridNeuropsychologia, 2012
We experience visual stability despite shifts of the visual array across the retina produced by eye movements. A process known as remapping is thought to keep track of the spatial locations of objects as they move on the retina. We explored remapping in damaged visual cortex by presenting a stimulus in the blind field of two patients with hemianopia ...
Kay Ritchie   +2 more
openaire   +4 more sources

Prime number races [PDF]

open access: yesریاضی و جامعه, 2022
Translator's abstractThis paper deals with one of the important and interesting topics in Number Theory under the title of prime number races, which is less discussed in Persian texts. All prime numbers (except 2) can be written in the form 4n+1 or 4n+3.
Mohammad Reza Esfandiari
doaj   +1 more source

Fast Constant-Time Modular Inversion over Fp Resistant to Simple Power Analysis Attacks for IoT Applications

open access: yesSensors, 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
doaj   +1 more source

A Note on the Girth of (3, 19)-Regular Tanner’s Quasi-Cyclic LDPC Codes

open access: yesIEEE 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
doaj   +1 more source

Ramification in quartic cyclic number fields $K$ generated by $x^4+px^2+p$ [PDF]

open access: yesMathematica 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
doaj   +1 more source

Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography

open access: yesCybernetics 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
doaj   +1 more source

Type-II QC-LDPC Codes From Multiplicative Subgroup of Prime Field

open access: yesIEEE 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
doaj   +1 more source

Infinite primes of fields and completions [PDF]

open access: yesPacific Journal of Mathematics, 1973
The notion of infinite prime in a ring with identity, defined in the first author's memoir "Finite and infinite primes for rings and fields" (A.M.S Memoir #68), is studied in fields. Extending results of R. Baer and D. W. Dubois, each infinite prime P of a field F is shown to determine a complex place φP of F such that φP{P) is the set of nonnegative ...
Harrison, D. K., Warner, Hoyt D.
openaire   +3 more sources

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