The projective general linear group $${mathrm {PGL}}(2,2^m)$$ PGL ( 2 , 2 m ) and linear codes of length $$2^m+1$$ 2 m + 1 |
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Authors: | Ding Cunsheng Tang Chunming Tonchev Vladimir D. |
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Affiliation: | 1.Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China ;2.School of Mathematics and Information, China West Normal University, Nanchong, 637002, Sichuan, China ;3.Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA ; |
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Abstract: | Designs, Codes and Cryptography - Let $$q=2^m$$ . The projective general linear group $${mathrm {PGL}}(2,q)$$ acts as a 3-transitive permutation group on the set of points of the projective line.... |
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