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Systematic authentication codes using additive polynomials |
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| Authors: | Ferruh Özbudak Zülfükar Saygı |
| Institution: | 1. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Block 5 Level 3, 1 Nanyang Walk, Singapore, 637616, Republic of Singapore 2. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, ?n?nü Bulvar?, Ankara, 06531, Turkey 3. Department of Mathematics, Faculty of Arts and Sciences, TOBB Economics and Technology University, S??üt?zü, Ankara, 06530, Turkey |
| Abstract: | Using additive polynomials related to some curves over finite fields, we construct two families of systematic authentication codes. We use tight bounds for the number of rational points of these curves in estimating the probabilities of the systematic authentication codes. We compare their parameters with some existing codes in the literature. We observe that the parameters are better than the existing ones in some cases. |
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