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The Faculty of Science in the Department of Mathematics discussed a master's thesis entitled Third-degree arcs in the projection plane and related linear ciphers for graduate student Hanan Juma'a Ali. The thesis aims to find large and complete arcs (k,3) in the plane . The thesis included the use of some algorithms in Fortran and GAP to generate a special type of brackets and they were created for the values The fixed groups were introduced for some brackets and a new maximum limit for brackets was obtained .