Narcissistic half-and-half power-sequence terraces for \(\mathbb Z_n\) with \(n=pq^{t}\).

DOI10.1016/S0012-365X(03)00261-9zbMath1034.05014MaRDI QIDQ1428514

Ian Anderson, D. A. Preece

Publication date: 29 March 2004

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

zbMATH Keywords

Euler's function2-sequencingsMatryoshka terracesPower-sequence terracesPrimitive \(\lambda\)-rootsPrimitive roots

Mathematics Subject Classification ID

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

Related Items (7)

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 \(p\) ⋮ Constructions for Terraces and R-Sequencings, Including a Proof That Bailey's Conjecture Holds for Abelian Groups ⋮ Some power-sequence terraces for \(\mathbb Z_{pq}\) with as few segments as possible ⋮ SOME_n−2TERRACES FROM_nPOWER-SEQUENCES,nBEING AN ODD PRIME POWER

Uses Software

• Maple

Cites Work

• Power-sequence terraces for \({\mathbb Z}_n\) where \(n\) is an odd prime power
• Pairs of primitive roots
• Elementary Number Theory
• A family of difference sets
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