A Variant of NTRU with Non-invertible Polynomials
Author(s) -
William D. Banks,
Igor E. Shparlinski
Publication year - 2002
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-00263-4
DOI - 10.1007/3-540-36231-2_6
Subject(s) - ntru , invertible matrix , generalization , cryptosystem , computer science , exponential function , mathematics , discrete mathematics , algebra over a field , cryptography , algorithm , pure mathematics , mathematical analysis
We introduce a generalization of the NTRU cryptosystem and describe its advantages and disadvantages as compared with the original NTRU protocol. This extension helps to avoid the potential problem of finding "enough" invertible polynomials within very thin sets of polynomials, as in the original version of NTRU. This generalization also exhibits certain attractive "pseudorandomness" properties that can be proved rigorously using bounds for exponential sums.
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