Abstract
In this paper we prove two general characterization theorems for A-codes, that provide r-fold security, in terms of well-known combinatorial structures (t-designs and orthogonal arrays). We use Delsarte's linear programming method to find new bounds on the number of encoding rules for Cartesian A-codes with 1-fold and 2-folds security and show that in the latter case the bound is achieved by A-codes obtained from the dual of two well-studied error correcting codes: an MDS code and the extended Hamming code.
Support for this project was partly provided by Australian Research Council grant A49030136.
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© 1995 Springer-Verlag Berlin Heidelberg
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Safavi-Naini, R., Tombak, L. (1995). Combinatorial structure of A-codes with r-fold security. In: Pieprzyk, J., Safavi-Naini, R. (eds) Advances in Cryptology — ASIACRYPT'94. ASIACRYPT 1994. Lecture Notes in Computer Science, vol 917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0000436
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DOI: https://doi.org/10.1007/BFb0000436
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