Abstract
Quaternary constant-amplitude codes (codes over \({\mathbb Z}_4\)) of length \(2^m\) exist for every positive integer \(m\), and every codeword of such a code corresponds to a function from the binary \(m\)-tuples to \({\mathbb Z}_4\) having the bent property, called a generalized bent function. In this chapter, we extend previous constructions and propose a general approach which can lead to more generalized bent functions.
This research is supported by National Basic Research Program of China (Grant No. 2011CB302400).
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Zhang, X., Wu, B., Jin, Q., Liu, Z. (2014). Constructing Generalized Bent Functions from Trace Forms of Galois Rings. In: Feng, R., Lee, Ws., Sato, Y. (eds) Computer Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43799-5_31
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DOI: https://doi.org/10.1007/978-3-662-43799-5_31
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