Browsing Theses - Engineering and Design ITS by Author "Creedon, Leo, Dr."

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    • Coding theory, group automorphisms and units of finite group algebras 

      Gallagher, Fergal (Insitute of Technology, Sligo, 2014-10)
      Group Algebras can be used to construct Low Density Parity Check Codes (LDPC) and Convolution Codes. These codes have applications within digital communication and storage, such as to improve the performance of digital ...

    • Derivations of group algebras with applications / 

      Hughes, Kieran (2020)
      This thesis is a study of derivations of group algebras. Derivations are shown to be trivial for semisimple group algebras of abelian groups. The derivations of a group algebra are classified in terms of the generators ...