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|Title:||Counting functions and expected values for the lattice profile at n|
Marsaglia's lattice test
Sequences over finite fields
|Source:||Dorfer, G., Meidl, W., Winterhof, A. (2004-10). Counting functions and expected values for the lattice profile at n. Finite Fields and their Applications 10 (4) : 636-652. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ffa.2004.01.004|
|Abstract:||Recently, Dorfer and Winterhof introduced and analyzed a lattice test for sequences of length n over a finite field. We determine the number of sequences η of length n with given largest dimension Sn(η)=S for passing this test. From this result we derive an exact formula for the expected value of Sn(η). For the binary case we characterize the (infinite) sequences η with maximal possible Sn(η) for all n. © 2004 Elsevier Inc. All rights reserved.|
|Source Title:||Finite Fields and their Applications|
|Appears in Collections:||Staff Publications|
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