Abstract
Symmetric radix representation and symmetric mixed-radix representation of Gaussian integers play a significant role in the residue arithmetic ofZ[i]. In the following, known results concerning corresponding representations of integers are generalized. It is shown that for any modulusmεZ[i] with\(m\bar m > 1\), except form=1±i, 2, there exists a unique symmetricm-radix representation of Gaussian integers.
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Steidl, G. On symmetric radix representation of Gaussian integers. BIT 29, 563–571 (1989). https://doi.org/10.1007/BF02219240
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DOI: https://doi.org/10.1007/BF02219240