Velyka O. Algebraic and graph models of synthesis of numerical codes with the ring structure

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U001623

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

12-04-2006

Specialized Academic Board

Д 35.052.05

Lviv Polytechnic National University

Essay

Dissertation is devoted to research of numerical codes with the ring structure. A method of construction of mathematical models of monolitic codes is developed on the base of some properties of extended fields of Galois and geometry above them. A combined algebraic and graph model of monolithic ring code is built, that allowed to extend imagination about the theoretical copulas between ideal ring bundles, by the combinatorial configurations and extended fields of Galois.

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