We give criteria for both monomials and binomials of the form ax((q+ 1)/2) + bx to be R-orthomorphisms of the finite field F-q of odd order q. We also prove existence theorems for R-orthomorphisms of this form.
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
Zha, Zhengbang
Hu, Lei
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Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100085, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
机构:
S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China
Yuan, Pingzhi
Ding, Cunsheng
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Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China