Abstract
We define the pseudorandom lattice of \(k\) symbols, and present some new constructions of families of such lattices, which generalize several previous constructions for the pseudorandom binary lattices. These lattices can also be regarded as a high dimensional analogue of some pseudorandom sequences of \(k\) symbols.
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Communicated by J. Schoißengeier.
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Mak, KH. More constructions of pseudorandom lattices of \(k\) symbols. Monatsh Math 177, 307–323 (2015). https://doi.org/10.1007/s00605-014-0663-x
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DOI: https://doi.org/10.1007/s00605-014-0663-x
Keywords
- Pseudorandom lattices
- Lehmer problem
- Multiplicative characters
- Additive characters
- Pseudorandom measures