Jacobi Symbol Are Harder To Predict Than Legendre Symbol In Sylar Encryption System
A Stream cipher which is not based on LFSR’s for creating
random bit patterns is just like the Sylar Encryption System
which use Jacobi symbols for generation of pseudo-random
bit sequences. There is no restriction on the size of the
secrete key which is shared, so there is no need of rewriting
the code in case of block ciphers and other stream, there is
need to change the size of the key for enhanced protection.
Sylar Encryption System gives a near possible
mathematically proven security as in case of one–Time Pads.
Sylar encryption gives the advantage of computing multiple
keys of the pseudo-random pad at the same time and thus
support parallelism which most stream ciphers do not support.
So computers which have multiple cores in the main memory
can be used more efficiently and thereby contribute in
increasing in the speed of encryption and decryption.
Keywords: Jacobi Symbols, Legendre Symbol, LFSR, encryption
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