Maximal cyclic subgroups of the groups of units of Galois rings: a computational approach

DOI10.1007/s40314-015-0281-9zbMath1400.94193OpenAlexW2304222531MaRDI QIDQ2403110

Tariq Shah, Antonio Aparecido de Andrade, Reginaldo jun. Palazzo, Nasir Mehmood

Publication date: 15 September 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/163157

zbMATH Keywords

group of unitsGalois ringCayley tableGalois fieldmaximal cyclic subgroup

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Cites Work

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• Construction and decoding of BCH codes over chain of commutative rings
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• CYCLIC CODES THROUGH B[X, $B[X;\frac{1}{kp}Z_{0}]$ AND $B[X;\frac{1}{p^{k}}Z_{0}]$: A COMPARISON]
• Advanced Differential-Style Cryptanalysis of the NSA's Skipjack Block Cipher
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• Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences
• CYCLIC CODES THROUGH $B[X;\frac{a}{b}{\mathbb Z}_{0}$, WITH $\frac{a}{b}\in {\mathbb Q}^{+}$ AND b = a+1, AND ENCODING]
• Linear Codes over Finite Rings
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