Complete Mapping Polynomials over Finite Field F16
Complete Mapping Polynomials over Finite Field F16
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DOI：
10.1007/978-3-540-73074-3_12
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发表时间：
2007-06
期刊：
影响因子：
--
通讯作者：
Yuan Yuan-Yuan;Yan Tong;Huanguo Zhang
中科院分区：
文献类型：
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作者：
Yuan Yuan-Yuan;Yan Tong;Huanguo Zhang
A polynomialf(x) overFq, the finite field withqelements, is called a complete mapping polynomial if the two mappingsFq→Fqrespectively defined byf(x) andf(x) +xare one-to-one. In this correspondence, complete mapping polynomials overF16are considered. The nonexistence of the complete mapping polynomial of degree 9 and the existence of the ones of degree 8 and 11 are proved; the result that the reduced degree of complete mapping polynomials overF16are 1, 4, 8, 10, 11, 12, 13 is presented; and by searching with computer, the degree distribution of complete mapping polynomials over the field is given.
