Some power-sequence terraces for \(\mathbb Z_{pq}\) with as few segments as possible

DOI10.1016/J.DISC.2004.08.020zbMath1140.11301OpenAlexW2060235942MaRDI QIDQ1779483

D. A. Preece, Ian Anderson

Publication date: 1 June 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.08.020

zbMATH Keywords

Euler's functionPower-sequence terracesPrimitive \(\lambda\)-rootsPrimitive rootsCarmichael's \(\lambda\)-functionUnits of \(\mathbb Z_n\)

Mathematics Subject Classification ID

Other designs, configurations (05B30) Congruences; primitive roots; residue systems (11A07)

Related Items (5)

Some \(\mathbb Z_{n+2}\) terraces from \(\mathbb Z_n\) power-sequences, \(n\) being an odd prime ⋮ Some da capo directed power-sequence \(\mathbb Z _{n+1}\) terraces with \(n\) an odd prime power ⋮ A general approach to constructing power-sequence terraces for \(\mathbb Z_n\) ⋮ Combinatorially fruitful properties of \(3\cdot 2^{-1}\) and \(3\cdot 2^{-2}\) modulo \(p\) ⋮ SOME_n−2TERRACES FROM_nPOWER-SEQUENCES,nBEING AN ODD PRIME POWER

Cites Work

• Narcissistic half-and-half power-sequence terraces for \(\mathbb Z_n\) with \(n=pq^{t}\).
• Power-sequence terraces for \({\mathbb Z}_n\) where \(n\) is an odd prime power
• Primitive roots and powers among values of polynomials over finite fields.
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