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New prepositions and use of ancient Greek prepositions in Modern Greek
Půlpánová, Veronika ; Vořechovská, Dita (advisor) ; Muchnová, Dagmar (referee)
Veronika Půlpánová Abstract: The first part of the thesis includes a definition of the term preposition and its general use and here it's represented as an outline of the evolution of the Greek language and prepositions together with the Greek Language tendency to lose declination and its transformation to the modern form. Second part tells about all kinds of prepositions in the Modern Greek language based on scientific grammar books. Prepositions are arranged according to the alphabet based on their types and there is an explanation of its use together with an example from a text from the ETHEG (Εθνικός Θησαυρός Ελληνικής Γλώσσας). In a case of the ancient prepositions based on their frequency and a reason of their preservation, possibly their influence on the preserving cases. The third part is dedicated to the Ancient Greek prepositions and their meanings in this way the contrast of their use between Modern and Ancient Greek is shown. Ancient Greek prepositions which are used in the Modern Greek language are mentioned.
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New prepositions and use of ancient Greek prepositions in Modern Greek
Půlpánová, Veronika ; Vořechovská, Dita (advisor) ; Muchnová, Dagmar (referee)
Veronika Půlpánová Abstract: The first part of the thesis includes a definition of the term preposition and its general use and here it's represented as an outline of the evolution of the Greek language and prepositions together with the Greek Language tendency to lose declination and its transformation to the modern form. Second part tells about all kinds of prepositions in the Modern Greek language based on scientific grammar books. Prepositions are arranged according to the alphabet based on their types and there is an explanation of its use together with an example from a text from the ETHEG (Εθνικός Θησαυρός Ελληνικής Γλώσσας). In a case of the ancient prepositions based on their frequency and a reason of their preservation, possibly their influence on the preserving cases. The third part is dedicated to the Ancient Greek prepositions and their meanings in this way the contrast of their use between Modern and Ancient Greek is shown. Ancient Greek prepositions which are used in the Modern Greek language are mentioned.
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Homomorphic encryption and coding theory
Půlpánová, Veronika ; Hojsík, Michal (advisor) ; Šťovíček, Jan (referee)
Title: Homomorphic encryption and coding theory Author: Veronika Půlpánová Department: Department of algebra Supervisor: RNDr. Michal Hojsík, Ph.D., Department of algebra Abstract: The current mainstream in fully homomorphic encryption is the appro- ach that uses the theory of lattices. The thesis explores alternative approaches to homomorphic encryption. First we present a code-based homomorphic encrypti- on scheme by Armknecht et. al. and study its properties. Then we describe the family of cryptosystems commonly known as Polly Cracker and identify its pro- blematic aspects. The main contribution of this thesis is the design of a new fully homomorphic symmetric encryption scheme based on Polly Cracker. It proposes a new approach to overcoming the complexity of the simple Polly Cracker - based cryptosystems. It uses Gröbner bases to generate zero-dimensional ideals of po- lynomial rings over finite fields whose factor rings are then used as the rings of ciphertexts. Gröbner bases equip these rings with a multiplicative structure that is easily algorithmized, thus providing an environment for a fully homomorphic cryptosystem. Keywords: Fully homomorphic encryption, Polly Cracker, coding theory, zero- dimensional ideals
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