Group theory provides the abstract language for describing symmetry through the concept of a set equipped with an associative binary operation, identity and inverses. Permutation structures arise when ...
Permutation polynomials over finite fields form a central theme in modern algebraic research, intertwining group theory, number theory and combinatorial design. A finite field is a set of elements ...
Co-authored by BTQ Chief Quantum Officer Dr. Gavin K. Brennen, the research introduces a new error-correction framework for permutation-invariant codes—an enabling step toward more reliable quantum ...
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