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Polynomial multiplication is the basic and most computationally intensive operation in ring-learning with errors (ring-LWE) encryption and "somewhat" homomorphic encryption (SHE) cryptosystems. In this paper, the fast Fourier transform (FFT) with a linearithmic complexity of , is exploited in the design of a high-speed polynomial multiplier. A constant geometry FFT datapath is...
The NTRU encryption algorithm, also known as NTRUEncrypt, is a parameterized family of lattice-based public key cryptosystems that has been accepted to the IEEE P1363 standards under the specifications for lattice-based public-key cryptography (IEEE P1363.1). The operations of the NTRU encryption algorithm show good characteristics for data parallel processing which makes the NTRU a good candidate...
In this paper, we propose OTRU, a high speed probabilistic multi-dimensional public key cryptosystem that encrypts eight data vectors in each encryption round. The underlying algebraic structure of the proposed scheme is the power-associative and alternative octonions algebra which can be defined over any Dedekind domain such as convolution polynomial ring. The proposed public key cryptosystem relies...
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