Permutation trinomials over F2m |
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Institution: | 1. School of Mathematics, South China Normal University, Guangzhou 510631, China;2. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China |
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Abstract: | Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over in Zieve's paper 30]. We prove a conjecture proposed by Gupta and Sharma in 8] and obtain some new permutation trinomials over . Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials. |
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Keywords: | Polynomials Permutation polynomials |
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