In [2], Stanislav Bulygin presents a chosen-ciphertext attack against certain instances of noncommutative polly cracker-type cryptosystems which were proposed in [7] and [9]. In this article, we present generalized versions of this attack, which can be used against virtually all polly cracker-type cryptosystems. We then present a simple but effective techique to counter these attacks. We also p...

In this work, we initiate the formal treatment of cryptographic constructions (“Polly Cracker”) based on the hardness of computing remainders modulo an ideal. We start by formalising and studying the relation between the ideal remainder problem and the problem of computing a Gröbner basis. We show both positive and negative results. On the negative side, we define a symmetric Polly Cracker encr...

In 1993 Koblitz and Fellows proposed a public key cryptosystem, Polly Cracker, based on the problem of solving multivariate systems of polynomial equations, which was soon generalized to a Gröbner basis formulation. Since then a handful of improvements of this construction has been proposed. In this paper it is suggested that security, and possibly e ciency, of any Polly Cracker-type cryptosyst...

The next decade will see a deep transformation of industrial applications by big data analytics, machine learning and the internet of things. Industrial applications have a number of unique features, setting them apart from other domains. Central for many industrial applications in the internet of things is time series data generated by often hundreds or thousands of sensors at a high rate, e.g...

OBJECTIVE To evaluate the effect of the intake of whole walnuts and walnut fractions on the oxidant status in mice. METHODS Thirty-six C57BL/6J male mice were randomized to be fed one of three diets: 1) a standard diet (control group), 2) a standard diet with 10% of whole walnuts (walnut-diet group), or 3) a standard diet with 2% of walnut skins (walnut-skin-diet group) for 8 wk. The plasma a...

C first walnut trees and orchards were planted during the Spanish mission period (around 1800), using seedlings of early varieties of Persian or English walnut (Juglans regia) chosen for their superior growth and nut quality. Since the 1890s, walnut trees in California have been propagated by grafting or budding desired cultivars onto rootstocks chosen for their adaptation to different physical...

SCOPE English walnut (Juglans regia) belongs to the most important allergenic tree nuts. Co-sensitization with birch (Betula verrucosa) pollen has been reported. We aimed to identify a walnut allergen homologous to the major birch pollen allergen Bet v 1. METHODS AND RESULTS A cDNA encoding a Bet v 1-homologous allergen (Jug r 5) in walnut kernels was cloned by RT-PCR. Jug r 5 was expressed i...