Articles with "group codes" as a keyword



The Generation of $(n,n(n-1),n-1)$ Permutation Group Codes for Communication Systems

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Published in 2019 at "IEEE Transactions on Communications"

DOI: 10.1109/tcomm.2019.2902149

Abstract: This paper concerns the construction and hardware execution of (n, n(n-1), n-1) permutation group codes (PGCs) for communication systems. Cyclic shift techniques acting on a permutation, including cyclic shift operators and their compound functions (CFs),… read more here.

Keywords: communication systems; cyclic shift; permutation; permutation group ... See more keywords

Group Codes Over Dihedral Group Algebras 𝔽q[D16] and 𝔽q[Z2 × D8]

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Published in 2025 at "Journal of Mathematics"

DOI: 10.1155/jom/7629466

Abstract: Let denote a finite field of characteristic p, where q = pk for some prime p and integer k. Let Dn represent a dihedral group of order n. In this paper, group codes in the… read more here.

Keywords: algebras d16; group; group codes; dihedral group ... See more keywords