By Claude Carlet, Keqin Feng (auth.), Yeow Meng Chee, Chao Li, San Ling, Huaxiong Wang, Chaoping Xing (eds.)
This publication constitutes the refereed court cases of the second one overseas Workshop on Coding and Cryptology, IWCC 2009, held in Zhangjiajie, China, in June 2009.
The 21 revised complete technical papers, other than one, are contributed by means of the invited audio system of the workshop. The papers have been conscientiously chosen in the course of rounds of reviewing and development for inclusion within the quantity and handle all elements of coding thought, cryptology and similar parts - similar to combinatorics - theoretical or utilized. subject matters addressed are coding conception, safe codes, hash services, combinatorics, boolean capabilities, authentication, cryptography, protocols, sequences, and safe communications.
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Extra info for Coding and Cryptology: Second International Workshop, IWCC 2009, Zhangjiajie, China, June 1-5, 2009. Proceedings
Constructing strength three covering arrays with augmented annealing. Discrete Math. 308, 2709–2722 (2008) 10. : Roux-type constructions for covering arrays of strengths three and four. Designs, Codes and Cryptography 41, 33–57 (2006) 11. : Recursive constructions for covering arrays. Bayreuther Math. Schriften 74, 266–275 (2005) 12. : On t-covering arrays. Des. Codes Cryptogr. 32(13), 323–339 (2004) 13. edu/~ ccolbou/src/tabby 14. : Almost independent and weakly biased arrays: efﬁcient constructions and cryptologic applications.
While most of the literature at present concentrates on the binary case (with the notable exception of ), the use of cyclotomic classes more generally aﬀords constructions for covering arrays with larger alphabets. This is a current topic of investigation. Acknowledgements ¨ Thanks to Hadi Kharaghani and Patric Osterg˚ ard for helpful pointers to the literature. Research of the ﬁrst author is supported by DOD grant N00014-08-1-1070. Binary Covering Arrays and Existentially Closed Graphs 31 Research of the second author is supported by the Hungarian National Research Fund, OTKA, Grant No.
In the semiprimitive case, the code CD punctured from the irreducible cyclic codes was dealt with in  and . The objectives of this paper are to study the punctured codes CD in two other cases which are not semiprimitive, and present a class of three-weight codes and a class of four-weight codes. The two classes of codes presented in this paper contain optimal codes. Their duals contain also optimal codes. 2 Auxiliary Results To introduce the three-weight and four-weight codes, we need cyclotomic classes and Gaussian periods.