Uniform cyclotomy

From MaRDI portal
Publication:1159718

DOI10.1016/0022-314X(82)90058-0zbMath0475.12026OpenAlexW4205498948MaRDI QIDQ1159718

L. D. Baumert, W. H. Mills, Robert L. Ward

Publication date: 1982

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(82)90058-0




Related Items (max. 100)

Gauss sums and the maximum cliques in generalized Paley graphs of square orderA survey of partial difference setsCyclotomic association schemes of broad classes and applications to the construction of combinatorial structuresPackings of partial difference setsNew partial geometric difference sets and partial geometric difference familiesOn Jacobi sums, difference sets and partial difference sets in Galois domainsLifting constructions of strongly regular Cayley graphsA \(q\)-polynomial approach to constacyclic codesNumber of points on the projective curves \(aY^l=bX^l+cZ^l\) and \(aY^{2l}=bX^{2l}+cZ^{2l}\) defined over finite fields, \(l\) an odd primeExplicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\)A Family of Six-Weight Reducible Cyclic Codes and their Weight DistributionConstructions of strongly regular Cayley graphs using index four Gauss sumsPartial difference sets and amorphic group schemes from pseudo-quadratic bent functionsEdge connectivity in difference graphs and some new constructions of partial sum familiesNew optimal optical orthogonal codes by restrictions to subgroupsCertain strongly regular Cayley graphs on \(F_{2^{2(2s+1)}}\) from cyclotomyCyclotomic problem, Gauss sums and Legendre curveStrongly regular graphs from unions of cyclotomic classesCyclotomic constructions of skew Hadamard difference setsUsing the theory of cyclotomy to factor cyclotomic polynomials over finite fieldsOn pseudo-automorphisms and fusions of an association schemeAmorphous association schemes over the Galois rings of characteristic 4The weight enumerator of the duals of a class of cyclic codes with three zerosCyclotomic construction of strong external difference families in finite fieldsConstructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classesThe number of solutions of certain diagonal equations over finite fieldsPseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemesSome implications on amorphic association schemesThe Weight Distribution for an Extended Family of Reducible Cyclic CodesA critical review and some remarks about one- and two-weight irreducible cyclic codesA new method for constructing Williamson matricesPseudocyclic association schemes and strongly regular graphsCyclotomy over products of finite fields and combinatorial applicationsPartial geometric difference sets and partial geometric difference familiesAmorphic association schemes with negative Latin square-type graphsWeight distributions of a class of cyclic codes from \(\mathbb F_l\)-conjugatesThe construction of regular Hadamard matrices by cyclotomic classesNew constructions of strongly regular Cayley graphs on abelian non \(p\)-groupsNew strongly regular decompositions of the complete graphs with prime power verticesOn the existence of abelian Hadamard difference sets and a new family of difference setsConstructions of optical orthogonal codes based on cyclic \(t\)-wise quasi-difference matricesDavenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periodsConstructions of linear codes with small hulls from association schemesConstructions of Strongly Regular Cayley Graphs Using Even Index Gauss SumsAll two-weight irreducible cyclic codes?Internal and external partial difference families and cyclotomyStrongly regular decompositions of the complete graph



Cites Work


This page was built for publication: Uniform cyclotomy