Some constructions of \((t,m,s)\)-nets with improved parameters

DOI10.1016/j.ffa.2007.09.007zbMath1162.11041OpenAlexW2027741940MaRDI QIDQ938764

San Ling, Ferruh Özbudak

Publication date: 27 August 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2007.09.007

zbMATH Keywords

finite fieldlinear codedigital net\((t,m,s)\)-net

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Pseudo-random numbers; Monte Carlo methods (11K45) Special sequences (11K31)

Uses Software

• MinT

Cites Work

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• Recursive constructions for large caps
• Extensions of generalized product caps
• Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences
• Finite field elements with specified order and traces.
• Constructions of digital nets
• Long Nonbinary Codes Exceeding the Gilbert–Varshamov Bound for any FixedDistance
• Nonbinary double-error-correcting codes designed by means of algebraic varieties
• MinT: A Database for Optimal Net Parameters
• Families of ternary \((t,m,s)\)-nets related to BCH-codes