Automated, Centralized & Scalable Cryptographic Key Managemen Choose from the world's largest selection of audiobooks. Start a free trial now The NTRUEncrypt public key cryptosystem, also known as the NTRU encryption algorithm, is a lattice-based alternative to RSA and ECC and is based on the shortest vector problem in a lattice (which is not known to be breakable using quantum computers)

NTRU is an open source public-key cryptosystem that uses lattice-based cryptography to encrypt and decrypt data. It consists of two algorithms: NTRUEncrypt , which is used for encryption, and NTRUSign , which is used for digital signatures 1.3 NTRU Encryption algorithm Public parameters . A choice of N determines the polynomial ring Z[X]=(XN 1). Two moduli p and q are selected so that gcd(p;q) = 1 - here q will typically be a power of 2, and p will be very small. One example is (N;p;q) = (251;3;128). Additional public parameters ar NTRU (NTRUEncrypt and NTRUSign) is a public key cryptographic system based on hardness of a certain mathematical problem involving special points in a lattice. NTRUEncrypt. Lattices. An $n$-dimensional lattice can be visualised as a regular grid of points in a $n$-dimensional space

Damien Stehl e The NTRU encryption scheme 05/06/2015 9/30. IntroductionRegular NTRUEncrypt Attacks on NTRURing-LWESecuring NTRUEncrypt Conclusion. Description of NTRUEncrypt: Encryption and Decryption. sk: f;g 2R small with f invertible mod q and mod 3 pk: h = g=f mod q Encryptionof M 2R with coe s in f0;1g: Sample s 2R The Essence of NTRU: Key Generation, Encryption, Decryption Key Generation. First Bob creates the keys (public key for everyone and private key for himself) and releases the public... Encryption. Now in order to encode a message, we have to turn it into a polynomial, so that it can be encrypted..

- NTRU Encryption User A has a message to transmit: 1st step. Puts the message in the form of polynomial m whose coefficients is chosen modulo p between -p/2 and p/2 (centered lift) 2nd step. Randomly chooses another small polynomial r (to obscure the message). 3rd step. Computes the encrypted message: e= r*h + m (modulo q
- NTRU Encryption/Decryption Encrypt Message Decrypt Message Any private key value that you enter or we generate is not stored on this site, this tool is provided via an HTTPS URL to ensure that private keys cannot be stolen, for extra security run this software on your network, no cloud dependenc
- NTRU is a collective name for the NTRUEncrypt and NTRUSign public key algorithms. Algorithms in the NTRU family are based on the approximate Closest Vector Problem (appr-CVP) in convolution modular lattices. The lattice structure allows for extremely fast operations and is not currently known to be vulnerable to quantum computing algorithms

* Browse other questions tagged encryption ntru or ask your own question*. The Overflow Blog Using Kubernetes to rethink your system architecture and ease technical debt. Level Up: Linear Regression in Python - Part 1. Featured on Meta Testing three-vote. of NTRU Encryption Paddings PhongQ.NguyenandDavidPointcheval CNRS/D¶epartementd'informatique, ¶Ecole normalesup¶erieure 45rued'Ulm,75005Paris,France encryption,onegeneratesarandomstringR,whosebit-lengthk2 isbetween 40and80accordingto[16,page2].However,k1 +k2 •mLen.Letkdenot The NTRUEncrypt public key cryptosystem, also known as the NTRU encryption algorithm, is a lattice-based alternative to RSA and ECC and is based on the shortest vector problem in a lattice We describe NTRU, a new public key cryptosystem. NTRU features reasonably short, easily created keys, high speed, and low memory requirements. NTR.U encryption and decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory

- NTRU is also classiﬁed as a randomised/probabilistic cryptosystem as encryption of any plaintext depends on a random vector chosen during the encryption. Therefore, messages do not have unique encryptions. NTRU public key cryptosystem uses nth degree truncated polynomials [26,27] with integer coefﬁcients as its keys. The NTRU
- The NTRU cryptosystem is a fast public key cryptosystem presented in 1996 by Hoffstein, Pipher and Silverman. It is resistant to quantum attacks and is categorized as a post quantum cryptosystem
- 2.2 OW-CPA Secure Encryption An encryption scheme consists of a key-generating algorithm Gen(1λ), an encryption functionECPA(m,r,pk),andadecryptionfunctionDCPA(c,sk). ThefunctionGen takes asecurityparameterλandoutputsasecretkey/publickeypair(sk,pk). Theencryption algorithmECPA takesamessagem∈M,randomnessr∈R,andthepublickeypk an
- Open Source NTRU Public Key Cryptography and Reference Code - NTRUOpenSourceProject/ntru-crypt

- Imperfect Decryption and an Attack on the NTRU Encryption Scheme John A. Proos University of Waterloo, Waterloo, Canada japroos@math.uwaterloo.ca January 7, 2003 Abstract ApropertyoftheNTRUpublic-keycryptosystemisthatitdoes notprovideperfectdecryption. Thatis,givenaninstanceofthecryp-tosystem, there exist ciphertexts which can be validly.
- NTRUPrime, NTRU-Encrypt, NTRU-HRSS PK, ciphertext ~ 1KB Encryption Scheme Overview. Small Variations Schemes made slightly more efficient by more aggressive constructions •e.g. using secret / noise coefficients in a smaller range •Instead of adding noise, doing rounding (chopping of
- NTRU website is online. New ntruhps2048607 software submitted for inclusion in SUPERCOP. New ntruhps2048509 software submitted for inclusion in SUPERCOP. NTRU proposal submitted to the NIST PQC project. NTRU has been chosen for the CECPQ2 experiment, which will evaluate the impact of using post-quantum cryptography in Google Chrome
- gs were performed on an Intel Core i5-3210M laptop with a 2.5GHz CPU and 6GB RAM
- NTRUEncrypt ist ein asymmetrisches Verschlüsselungsverfahren, das 1996 von den Mathematikern Jeffrey Hoffstein, Jill Pipher und Joseph H. Silverman entwickelt wurde. Es basiert lose auf Gitterproblemen, die selbst mit Quantenrechnern als nicht knackbar gelten. Allerdings ist NTRUEncrypt bisher nicht so gut untersucht wie gebräuchlichere Verfahren (z. B. RSA)
- NTRU implements the NTRUEncrypt public key encryption algorithm in Java and C. NTRUEncrypt is lattice-based and not known to be breakable even with quantum computers. Commonly used cryptosystems like RSA or ECC, on the other hand, will be broken if and when quantum computers become available
- NTRU is a lattice-based post-quantum encryption algorithm owned by Security Innovation. Our implementation of the ntru plugin has been derived from the ntru-crypto C source code made available by Security Innovations under the GNU GPLv2 open source license. NTRU Encryption has been standardized by IEEE Std 1363.1-2008 and ANSI X9.98-2010

* NTRU is an open-source public key cryptosystem that uses lattice-based cryptography to encrypt and decrypt data*. Unlike other popular public-key cryptosystems, it is resistant to attacks using Shor's Algorithm and its performance has been shown to be significantly greater NTRU Decryption as a CVP Problem Recall that the ciphertext e has the form e = r ?h+ m (mod q): We can rewrite this relation in vector form as [0;e] = [0;r ?h+ m (modq)] [r;r ?h (modq)] + [ r;m]: The vector [r;r?h (mod q)] is in the lattice Lh, while, the vector [ r;m] is quite short. Conclusion. For appropriate parameters, recovery o

- First encode your string in base 2 (you can do this how you want), then construct your polynomial. If you have more bits than the degree of the NTRU polynomial, you'll have to split up the message into blocks. I'm sure you know about the standard warnings with using public key encryption for large messages. Unless you have a really, really good.
- encrypt returns an NTRU ciphertext given a message and a public key h. The ciphertext is h*r+m modulo x^n-1 modulo q, where m is the message and r is random. Example
- NTRU (pronounced either as an initialism or as \en-true) is a cryptosystem that utilises lattice theory. The most well-known modern-day encryption algorithm, called (Rivest-Shamir-Adleman) generally relies on the di culty of nding the prime factorisations of large numbers. NTRU encryption relies instead on the \closest-vector problem
- als for post-quantum lattice-based cryptography, including the classic
**NTRU**cryptosystem and typical Ring-LWE-based cryptosystems. This paper proposes**NTRU**Prime, which tweaks**NTRU**to use rings without these structures; proposes Streamlined**NTRU**Prime, which op-timizes**NTRU**Prime from an implementation perspective; nds high - The NTRU team (Onboard Security Inc.) NTRU crypto April 12, 2018 2 / 17 How lattice based encryption should have been developed - Vadim Lyubashevsky The NTRU team (Onboard Security Inc.) NTRU crypto April 12, 2018 3 / 1

NTRU is a asymmetric encryption and has been benchmarked as twice as fast as RSA to encrypt, and three times faster to decrypt. NTRU was the public key method which is not based on factorization. A multi-dimensional QTRU public-key cryptosystem improves NTRU by replacing the original ring in NTRU by quaternion algebra. In this paper, we introduce QMNTR an improvement of QTRU by using a new mathematical structure of two public keys and five private keys 2.4.2. NTRU Encryption Before encryption, data is ﬁrst translated into the polynomial form M. There could be different ap-proaches on heterogeneous platforms as the encryp-tion procedure is not deﬁned in NTRU algorithm, but implementation details such as execution time and memory space occupation should be handled deliberately The experimentation compares NTRU with AES, Fernet, and RSA respectively on encryption time analysis, decryption time analysis, and network layer analysis. The results suggest some critical points that should be considered for the future development of smart homes, smart factories, smart cities, smart health, etc ** The NTRU public key cryptosystem is one of the fastest known public key cryptosystems**. It was ﬁrst introduced in the rump session at Crypto'96 by Hoffstein, Pipher, and Silverman [Hoffstein et al.,1996], and was later published in the proceedings of the ANTS-III conference. It offers both encryption (NTRU

NTRU (NISTRound2) NTRU-HRSS-KEM (NIST Round 1) I Perfect correctness I Arbitrary-weight trinary vectors I One nice parameter set I. Probabilistic encryption I CCA2KEMvia DentTable5/ Targhi-Unruh # Saito-Xagawa-Yamakawa (Eurocrypt 2018) I Deterministic encryption I CCA2 KEM via re-encryption and . implicit rejectio The Impact of Decryption Failures on the Security of NTRU Encryption. International Crytology Conference, 2003. Phong Nguyen. Download PDF. Download Full PDF Package. This paper. A short summary of this paper. 37 Full PDFs related to this paper. READ PAPER Encryption algorithms work on the smallest ARM7 LPC2000 through to our ARM926 LPC3000 microcontrollers Allows customers who need short time-to-market to leverage Ntru's encryption expertise on their products quickly and efficiently Customers can update the software in the field to keep ahead of hackers and protect their I I am currently implementing NTRU keeping its homomorphic properties. I want to implement rerandomization like this: Encryption: e = pr * h + m (mod q) Rerandomization: e = e + pr (mod q) (Using a ne * E cient Identity-Based Encryption using NTRU Lattices L eo Ducas*, Vadim Lyubashevsky and Thomas Prest December 10, 2014 1/2

6.3 Performance Comparison of RSA and NTRU Encryption and Decryption..51 6.4 Number of Digital Signature operations per second of RSA, ECC and NTRU.52 . 1 . CHAPTER 1 INTRODUCTION . Critical Infrastructure represents the basic facilities, services and installations. Lattice based cryptography is attractive for its quantum computing resistance and efficient **encryption**/ decryption process. However, the Big Data issue has perplexed most lattice based cryptographic systems since the overall processing is slowed down too much. This paper intends to analyze one of the major lattice-based cryptographic systems, Nth-degree.. Flattening NTRU for Evaluation Key Free Homomorphic Encryption Yark n Dor oz Worcester Polytechnic Institute August 19, 2018 MathCrypt 2018 Yark n Dor oz (WPI) Flattening NTRU August 19, 2018 1/21. Homomorphic Encryption First FHE Implementation { Completed in 2011 { Lacks performance, e.g. single AND takes 30 second

Browse other questions tagged encryption post-quantum-cryptography decryption encoding ntru or ask your own question. The Overflow Blog Using low-code tools to iterate products faste On Windows systems, HelloKitty ransomware uses a combination of AES-128 + NTRU encryption. On Linux systems, it uses the combination AES-256 + ECDH. These encryption recipes are not known to have any weaknesses, making decryption impossible without a key. Encrypted files will have the .kitty or .crypted file extension appended to the file names Scott H. Crenshaw, CEO of NTRU said, The Aladdin/NTRU solution brings secure, tamper resistant public key security - including encryption and authentication - to any consumer device, including.

Keywords. NTRU Cryptosystem, lattice-based cryptography, fully homomorphic encryption, multilinear maps. AMS classiﬁcation. 68Q17, 68Q87, 68Q12, 11T55, 11T71, 11T22. 1 Introduction The NTRU public-key cryptosystem has attracted much attention by the cryptographic community since its introduction in 1996 by Hoffstein, Pipher and Silverman [32. NTRU is one of the first public key cryptosystems not based on factorization or discrete logarithmic problems and is also considered secure even against quantum computer attacks. In 2011, Stehle and Steinfeld proposed a variant of the classical NTRU that is IND-CPA secure but for the key generation algorithm, they use Gaussian distribution with a large standard deviation to prove the. ** NTRU encryption key pair**. PrivPoly: Private polynomial, can be ternary or product-form. PrivateKey: NTRU encryption private key. ProdPoly: A product-form polynomial, i.e. a polynomial of the form f1*f2+f3 where f1,f2,f3 are very sparsely populated ternary polynomials. PublicKey: NTRU encryption public key. TernPol

A property of the NTRU public-key cryptosystem is that it does not provide perfect decryption. That is, given an instance of the cryptosystem, there exist ciphertexts which can be validly created using the public key but which can't be decrypted using the private key. The valid ciphertexts which an NTRU secret key will not correctly decipher determine, up to a cyclic shift, the secret key Enhanced Provably Secure NTRU Encryption Based on Hard Learning over Rings p.1139. An Edge Extraction Algorithm Based on Morphology p.1145. Design of Weather Modification Assessment System for Evaluating Artificial Test Effect p.1152. SVM Based Land.

NTRU and Lattice-Based Crypto: Past, Present, and Future Joseph H. Silverman Brown University The Mathematics of Post-Quantum Cryptography DIMACS Center, Rutgers Universit 1. A short review of the NTRU cryptosystem Zhenfei Zhang zzhang@onboardsecurity.com July 12, 2017 Z.Zhang (Onboard Security Inc.) NTRU crypto July 12, 2017 1 / 42. 2. Outline 1 Introduction 2 NTRU lattice 3 NTRUEncrypt 4 pqNTRUSign 5 Conclusion Z.Zhang (Onboard Security Inc.) NTRU crypto July 12, 2017 2 / 42. 3. Why lattice Z.Zhang (Onboard.

Encryption (FHE) scheme. Our FHE scheme is an NTRU-like cryptosystem, with additional support for eﬃcient key switching and modulus reduction operations to reduce the frequency of bootstrapping operations. Ciphertexts in our scheme are represented as matrices of 64-bit integers. The basis of ou Y. Zhang et al. Efﬁcient ring signature schemes over NTRU lattices Table I. Ring signature parameters (Section 5). Security parameter 80 192 Root Hermite factor 1.0074 1.0043 Polynomial degree n 256 512 Modulus q 232 235 as public-key encryption schemes [12-14], IBE scheme Analysis and Improvements of NTRU Encryption Paddings. Share on. Authors: Phong Q. Nguyen. View Profile, David Pointcheval. View Profile. Authors Info & Affiliations ; Publication: CRYPTO '02: Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology August 2002. * Notes: NTRU Cryptosystems, Inc*. has been granted U.S. Patent No. 6,081,597, which covers various aspects of the NTRU public key encryption scheme, and has submitted numerous U.S. and foreign patent applications that cover aspects of NTRU Cryptosystems encryption and authentication technology. These U.S. and foreign patent applications are pending

Security Innovation's NTRU encryption is a stronger alternative to RSA because its speed and high-performance enables mobile devices to handle many transactions without compromising security and. Bouncy Castle NTRU encryption export public key. Ask Question Asked 4 years, 1 month ago. Active 4 years, 1 month ago. Viewed 181 times 1. I got AsymmetricKeyParameter a = asymmetricCipherKeyPair.getPublic(); I've spent couple of hours on this one and do not know how to turn the public key into a sequence of bytes. any ideas?. NTRU's comparative performance increases with the level of security required. By moving to wolfSSL with the NTRU algorithm, organizations can gain 4x the CPU cycles and a corresponding saving in infrastructure costs, battery drain, or cost of goods sold. WOLFSSL+ WINS MOBILE ENCRYPTION AWARD NEXT GENERATION CRYPT The NTRU cryptosystem was developed in 1996 by Hoffstein, Pipher and Silverman. NTRU is a public key cryptosystem not based on factorization or discrete logarithm problems. NTRU is based on the shortest vector problem in a lattice. The NTRU public key cryptosystem is one of the fastest known public key cryptosystem CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): . We describe NTRU, a new public key cryptosystem. NTRU features reasonably short, easily created keys, high speed, and low memory requirements. NTRU encryption and decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory

NTRU Prime: reducing attack surface at low cost Daniel J. Bernstein1, Chitchanok Chuengsatiansup2, Tanja Lange 3, and Christine van Vredendaal 1 Department of Computer Science University of Illinois at Chicago, Chicago, IL 60607{7045, USA djb@cr.yp.t NTRU now part of Bouncy Castle 22 Mar 2012 03:54. As of Bouncy Castle 1.47, the bcprov-ext and lcrypto releases of Bouncy Castle contain an NTRU implementation. It is based on version 1.0 of this library * Quantum computers stand a good chance of changing the face computing, and that goes double for encryption*. For encryption methods that rely on the fact that brute-forcing the key takes too long wi Crypto News. In January, John Proos, a PhD student at the University of Waterloo, published a research paper entitled Imperfect Decryption and an Attack on the NTRU Encryption Scheme.. Proos found that given an NTRU public key, there exist ciphertexts that can be validly created using the public key but can't be decrypted using the.

Logical Mistakes in NTRU Compensation Algorithm and Improvement of Encryption Verification Algorithm. Share on. Authors: Yining Quan. View Profile, Xinshe Li. View Profile, Yupu Hu In LATTE, a lattice based hierarchical identity-based encryption (HIBE) scheme, each hierarchical level user delegates a trapdoor basis to the next level by solving a generalized NTRU equation of level ℓ ≥ 3. For ℓ = 2, Howgrave-Graham, Pipher, Silv

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. NTRU is an efficient patented public-key cryptosystem proposed in 1996 by Hoffstein, Pipher and Silverman. Although no devastating weakness of NTRU has been found, Jaulmes and Joux presented at Crypto '00 a simple chosen-ciphertext attack against NTRU as originally described NTRU Cipher Suites for TLS July 2001 1.Overview The TLS protocol was designed with the purpose of enabling private and authenticated communication over the Internet, typically between high bandwidth and computationally rich entities. This goal is achieved through the use of a combination of public-key techniques, which provide authentication and key agreement between two parties that may not. Download NTRU for free. NTRUEncrypt and NTRUSign in Java. This project provides an implementation of the NTRU public-key cryptosystem: NTRUEncrypt and NTRUSign NTRU is similar to these topics: NTRUEncrypt, GGH encryption scheme, McEliece cryptosystem and more

on the Security of NTRU Encryption Nick Howgrave-Graham1, Phong Q. Nguyen2, David Pointcheval2, John Proos3, Joseph H. Silverman1, Ari Singer1, and William Whyte1 1 NTRU Cryptosystems, 5 Burlington W ods, Burlington, MA 02144 fnhowgravegraham,jhs,asinger,wwhyteg@ntru.com 2 CNRS/ENS{DI, 45 rue d'Ulm, 75005 Paris, Franc OTRU; Referenced in 1 article that encrypts eight data vectors in each encryption round. The underlying algebraic structure modular lattice. After a brief introduction to Ntru, we describe the algebraic structure used provide the details of the key generation, encryption and decryption algorithms and discuss the issues OTRU has been designed based on the Ntru core and exhibits high. This is the multiplication operation used in NTRU. It is the same as polynomial multiplication but reduces the output modulo x^n-1: this means replacing x^n with 1, replacing x^(n+1) with x, replacing x^(n+2) with x^2, etc. The inputs are two n-coefficient polynomials f and g, meaning polynomials with coefficients of 1, x, and so on through x. apparatus to generate parameter for ntru, ntru decryption and encryption system, apparatus, method and program implementing said parameter generating unit. title (de) vorrichtung zur generierung von parameter fÜr ntru, ntru verschlÜsselungs- und entschlÜsselungssystem, vorrichtung, methode und parametergenerierungseinheit. title (fr

NTRU Modulo p Flaw Anas Ibrahim, Alexander Chefranov Computer Engineering Department Eastern Mediterranean University Famagusta, North Cyprus Abstract NTRU encryption is astandardized public-key cryptosystem which is considered faster than RSA and ECC.For encryption, NTRU adds theproduct of ph r.* to the plaintext, where encryption, and key-establishment algorithms to augment FIPS 186-4, Digital Signature Standard (DSS), as well as special publications SP 800-56A Revision 2, Recommendation for Pair-Wise Key Establishment Schemes Using Discrete Logarithm Cryptography, and SP 800-56B, Recommendation for Pair-Wise Key-Establishment Schemes Using Integer Factorization Lattice based cryptography is attractive for its quantum computing resistance and efficient encryption/ decryption process. However, the Big Data issue has perplexed most lattice based cryptographic systems since the overall processing is slowed down too much. This paper intends to analyze one of the major lattice-based cryptographic systems, Nth-degree.. On adapting NTRU for Post-Quantum Public-Key Encryption Dutto Simone, Morgari Guglielmo, Signorini Edoardo Politecnico di Torino & Telsy S.p.A. De Cifris AugustˆTaurinorum - September 30th, 2020 Dutto, Morgari, Signorini On adapting NTRU for Post-Quantum Public-Key Encryption 1 / 3

Analysis and Improvements of NTRU Encryption Paddings (2002) by Phong Q. Nguyen, David Pointcheval Venue: Lect. Notes in Comp. Sci: Add To MetaCart. Tools. Sorted by: Results 1 - 10 of 13. Next 10 → The Impact of Decryption Failures on the Security of NTRU. NTRU is based on the hardness of solving the Ring-learning-with-errors problem (Ring-LWE) and variants have been around since the mid-1990s, giving some confidence to its security. There were several candidates during Round 1 based off of the original NTRU cryptosystem, and in fact this candidate is the result of a merger of NTRUEncrypt and NTRU When was FHE? In 2009, Craig Gentry published an article describing the first Fully Homomorphic Encryption (FHE) scheme. His idea was based on NTRU, a lattice-based cryptosystem that is considered somewhat homomorphic, meaning that it is homomorphic for a fixed number of operations (often referred to as the depth of the circuit). He then exposed a way to refresh ciphertexts, shifting from SHE. FIVEHANDS Encryption. FIVEHANDS uses an embedded NTRU public key. This NTRU key is SHA512 hashed and the first 32 bytes are used as the victim ID within the ransom note. This NTRU pubic key is also used to encrypt each file's symmetric key. For the symmetric key,. 2002. Phong Q. Nguyen, David Pointcheval. Analysis and improvements of NTRU encryption paddings. MR 2005a:94065. Pages 210-225 in: Moti Yung (editor). Advances in Cryptology—CRYPTO 2002. 22nd annual international cryptology conference, Santa Barbara, California, USA, August 18-22, 2002, proceedings. Lecutre Notes in Computer Science 2442

NTRU is a lattice-based public key cryptosystem featuring reasonably short, easily created keys, high speed, and low memory requirements, seems viable for wireless network. This paper presents two optimized designs based on the enhanced NTRU algorithm. One is a light-weight and fast NTRU core, it performs encryption only. This work has a gate-count of 1175 gates and a power consumption of 1.51. (2) We construct a multikey FHE scheme based on NTRU, a very efficient public-key encryption scheme proposed in the 1990s. It was previously not known how to make NTRU fully homomorphic even for a single party

To overcome this issue, in this thesis we propose the use of a faster and light-weighted NTRU cryptographic algorithm for authentication and data integrity in securing SCADA communication. Experimental research conducted on ARMv6 based Raspberry Pi and Intel Core machine shows that cryptographic operations of NTRU is two to thirty five times faster than the corresponding RSA or ECC NTRU encryption parameters. This module contains the parameters for NTRU encryption. Theese parameters must be used when encrypting, decrypting and generating key pairs. The recomendation is to use the default parameters for each level of security, and not use the deprecated parameters. The recommended parameters are the following Сформированы преимущества алгоритма, которые делают его фаворитом среди ассиметричных алгоритмов.The object of research is encryption algorithm with the public key called NTRU (Nth-degree TRUncated polynomial ring)