Jinwang Liu

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Blum integers (BL), which has extensively been used in the domain of cryptography, are integers with form p1q2 , where p and q are different primes both ≡ 3 mod 4 and k1 and k2 are odd integers. These integers can be divided two types: 1) M = pq, 2) M = p1q2 , where at least one of k1 and k2 is greater than 1. In [3], Bruce Schneier has already proposed an(More)
Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. H.Hong has resolved following problem: when does polynomial composition commute with Gröbner basis computation? The main question of this paper is: when does polynomial composition commute with Gröbner h-bases computation? And we obtain some(More)
MathEdit offers abundant mathematical expression templates and customizable graphical user interface for users to enter various mathematical expressions intuitively. It also provides visual navigation which allows users to jump to and select apropos sub-expression. Figure 2 shows the main MathEdit user interface (boxes with black lettering are part of the(More)