A generalization of combinatorial designs and related codes

DOI10.1007/s10623-016-0179-6zbMath1355.05058OpenAlexW2290043752MaRDI QIDQ510407

Jerod Michel, Baokun Ding

Publication date: 17 February 2017

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-016-0179-6

zbMATH Keywords

linear code\(t\)-design\(t\)-adesignalmost difference setcyclotomic class

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Applications of design theory to circuits and networks (94C30) Cyclic codes (94B15) Cyclotomy (11T22) Other finite incidence structures (geometric aspects) (51E30)

Related Items

Almost designs and their links with balanced incomplete block designs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructions of almost difference families
• New combinatorial designs and their applications to authentication codes and secret sharing schemes.
• Constructions of almost difference sets from finite fields
• Cyclic codes from cyclotomic sequences of order four
• A Survey of Difference Sets
• Searching for linear codes with large minimum distance
• A new family of almost difference sets and some necessary conditions
• New Binary Sequences With Optimal Autocorrelation Magnitude
• The Geometry of Two-Weight Codes
• Shadow bounds for self-dual codes
• Fundamentals of Error-Correcting Codes
• Combinatorial Designs
• New families of binary sequences with optimal three-level autocorrelation
• Almost difference sets and their sequences with optimal autocorrelation
• Cyclotomy, Higher Congruences, and Waring's Problem
• New Constructions of Binary Sequences With Optimal Autocorrelation Value/Magnitude
• Cyclic Codes From the Two-Prime Sequences
• A Note on Fisher's Inequality for Balanced Incomplete Block Designs