Maximal Periodic Two-Dimensional Arrays Over Galois Rings

DOI10.1081/AGB-200063452zbMath1204.11181MaRDI QIDQ5466696

Lei Hu

Publication date: 25 August 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Galois ringmaximal periodtwo-dimensional array

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial codes (94B25) Prefix, length-variable, comma-free codes (94A45)

Cites Work

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• Binary sequences derived from ML-sequences over rings. I: Periods and minimal polynomials
• Properties of Gröbner bases and applications to doubly periodic arrays
• Modular and \(p\)-adic cyclic codes
• 4-phase sequences with near-optimum correlation properties
• General theory of doubly periodic arrays over an arbitrary finite field and its applications
• On the decoding of Reed-Solomon and BCH codes over integer residue rings
• Optimal biphase sequences with large linear complexity derived from sequences over Z/sub 4/
• Large families of quaternary sequences with low correlation

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