Ring units in iterated cyclic extensions, and in NTRU

In: Tatra Mountains Mathematical Publications, vol. 25, no. 3

Markus Schmidmeier

Detaily:

Rok, strany: 2002, 127 - 136

O článku:

We develop a formula for the number of units in finite commutative rings which arise as iterated cyclic extensions. The formula depends only on the degree of the irreducible factors of certain polynomials with coefficients in a finite field. Examples of such rings include the domain $Bbb Z_q[x]/(x^N-1)$ which is used to encrypt messages in the public key cryptographic system NTRU. We recognize the known problem that the checksum of a message in the standard setup of NTRU is not protected and describe how this problem is handled in our internet implementation HERMES of NTRU.

Ako citovať:

ISO 690:

Schmidmeier, M. 2002. Ring units in iterated cyclic extensions, and in NTRU. In Tatra Mountains Mathematical Publications, vol. 25, no.3, pp. 127-136. 1210-3195.

APA:

Schmidmeier, M. (2002). Ring units in iterated cyclic extensions, and in NTRU. Tatra Mountains Mathematical Publications, 25(3), 127-136. 1210-3195.