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The NTRU Cryptosystem A Java implementation of the NTRU public-key cryptosystem, consisting of the encryption scheme NTRUEncrypt and the signature scheme NTRUSign. NTRU's main strengths are high performance and resistance to quantum computer attacks. NTRU keys are longer than ECC keys; they can be longer or shorter than RSA keys depending on the security level. The NTRUSign algorithm has been broken and is included only for historical interest. NTRUEncrypt remains unbroken; its main drawback is that it is patent encumbered. It is safe to use NTRUEncrypt under the GPL (see https://github.com/NTRUOpenSourceProject/ntru-crypto#is-ntru-patented) but if you choose any other license, you should talk to the patent holder first. http://en.wikipedia.org/wiki/NTRUEncrypt http://en.wikipedia.org/wiki/NTRUSign The implementation follows IEEE P1363.1 for NTRUEncrypt and the EESS (http://grouper.ieee.org/groups/1363/lattPK/submissions/EESS1v2.pdf) for NTRUSign. NtruEncrypt Usage The first step is always to create an NtruEncrypt instance by calling the constructor with an EncryptionParameters object representing the desired algorithm parameters. It is recommended to use one of the predefined parameter sets which are available as constants in EncryptionParameters, but new ones can be created as well. After an NtruEncrypt instance has been created, it can be used to generate new key pairs, and encrypt / decrypt messages. Encrypting a message is done by calling encrypt() which takes the following parameters: 1. the message itself as a byte array. Strings can be encrypted after converting them to byte[] via getBytes() 2. an EncryptionPublicKey, which can be generated via NtruEncrypt.generateKeyPair() or an existing key can be reconstructed from a byte array by calling new EncryptionPublicKey(byte[]) The encrypted message is returned as a byte array. Decrypting a message is done by calling decrypt() which takes the message, an EncryptionKeyPair containing the public and private keys, and the encryption parameters. The parameters used for decrypting must be the same as the ones used to encrypt the message; the same goes for the public key. Like all public-key encryption schemes, NtruEncrypt can only encrypt a limited number of data. To find out how long a NTRU message can be, use the method EncryptionParameters.getMaxMessageLength(). To encrypt larger amounts of data, use symmetric encryption and encrypt the symmetric key with NTRU. The sample program AesExample shows how to do this. NtruSign Usage The NtruSign algorithm was broken in 2012 by Ducas and Nguyen; it should not be used. See http://www.di.ens.fr/~ducas/NTRUSign_Cryptanalysis/DucasNguyen_Learning.pdf for details. Key Import / Export Encryption keys and signature keys can be written to a file via the writeTo methods by supplying a FileOutputStream. The key can then be read from the file by passing a FileInputStream to the appropriate constructor. Keys are encoded raw, so the array contains no information about the parameters used. It is advisable to first write the parameters, then the key. Parameters can be written to an OutputStream just like keys, and just like keys they have a constructor that takes an InputStream. Keys can also be converted to and from byte arrays. NTRUEncrypt keys (but not NTRUSign keys) can be created from a passphrase by calling generateKeyPair(char[], byte[]) with a passphrase and a salt value. The passphrase is a char array rather than a string so it can be cleared from memory when it is no longer needed. The salt parameter makes attacks using precomputed keys harder. It should be a random value that is generated once and stored. The method generateSalt() can be used to generate a salt value. Parameter Sets It is generally recommended to use the APR2011_439_FAST or APR2011_743_FAST parameter set for encryption. The security levels are 128 and 256 bits, respectively. Error Conditions Errors cause a NtruException with an appropriate message and/or cause to be thrown. NtruException is an unchecked exception. Sample Programs The net.sf.ntru.demo package contains several small console programs: SimpleExample A minimal example showing how to use NTRUEncrypt and NTRUSign AesExample Demonstrates how to encrypt arbitrary-length messages using NTRUEncrypt and AES Benchmark Benchmarks NTRUEncrypt against RSA and ECC Timings Similar to Benchmark but only NTRUEncrypt and NTRUSign are benchmarked, and the output is in table format. The src/main/android directory contains a simple Android app similar to SimpleExample. It has been tested with Android 4.0.3. To build and run the app, follow these steps: 1) Start Eclipse and make sure you have the ADT plugin installed 2) Create a new Android project. Enter net.sf.ntru.demo for the package name and NtruActivity for the activity. 3) Replace the generated AndroidManifest.xml with the NTRU version from src/main/android/AndroidManifest.xml 4) Replace the generated NtruActivity.java with the NTRU version from src/main/android/net/sf/ntru/demo/NtruActivity.java 5) Create a folder named libs in your Eclipse project and copy the NTRU .jar into the new folder, then refresh the project in Eclipse. 6) In the package explorer, right click on your project and select Run As -> Android Application. Maven Artifact NTRU is available from the Maven central repository. <dependency> <groupId>net.sf.ntru</groupId> <artifactId>ntru</artifactId> <version>1.2</version> </dependency> Other NTRU implementations * As of Bouncy Castle 1.47 (http://bouncycastle.org/), it contains a fork of this library in the bprov-ext and lcrypto jars. * There is a C implementation of NTRUEncrypt at https://github.com/tbuktu/libntru * and another one at https://github.com/NTRUOpenSourceProject/ntru-crypto Further reading Original NTRUEncrypt paper: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.25.8422&rep=rep1&type=pdf Follow-up NTRUEncrypt paper: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.64.6834&rep=rep1&type=pdf Original NTRUSign paper: http://www.math.brown.edu/~jpipher/NTRUSign_RSA.pdf Follow-up NTRUSign paper: http://grouper.ieee.org/groups/1363/WorkingGroup/presentations/NTRUSignParams-2005-08.pdf NTRU articles (technical and mathematical): http://www.securityinnovation.com/security-lab/crypto.html Jeffrey Hoffstein et al: An Introduction to Mathematical Cryptography, Springer-Verlag, ISBN 978-0-387-77993-5 EESS: http://grouper.ieee.org/groups/1363/lattPK/submissions/EESS1v2.pdf
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