A family of difference sets
From MaRDI portal
Publication:5895962
zbMath0099.26502MaRDI QIDQ5895962
Publication date: 1962
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13)
Related Items (60)
Unnamed Item ⋮ Quantum synchronizable codes from the Whiteman's generalized cyclotomy ⋮ 2-adic complexity of two constructions of binary sequences with period \(4N\) and optimal autocorrelation magnitude ⋮ Cyclic codes with generalized cyclotomic cubic classes ⋮ Cyclotomic association schemes of broad classes and applications to the construction of combinatorial structures ⋮ Generalized cyclotomic numbers of order two and their applications ⋮ Cyclic codes from the first class two-prime Whiteman's generalized cyclotomic sequence with order 6 ⋮ On Jacobi sums, difference sets and partial difference sets in Galois domains ⋮ Generalized cyclotomic numbers with respect to prime powers ⋮ New generalized cyclotomic binary sequences of period \(p^2\) ⋮ Cyclic codes from two-prime generalized cyclotomic sequences of order 6 ⋮ Gauss periods and codebooks from generalized cyclotomic sets of order four ⋮ A new frequency-hopping sequence set based upon generalized cyclotomy ⋮ Three classes of partitioned difference families and their optimal constant composition codes ⋮ A kind of quaternary sequences of period \(2 p^m q^n\) and their linear complexity ⋮ Linear complexity of generalized cyclotomic sequences of order 4 over \(\mathbb{F}_l\) ⋮ The linear complexity of generalized cyclotomic binary sequences of period \(p^n\) ⋮ New classes of asymptotically optimal spectrally-constrained sequences derived from cyclotomy ⋮ On the linear complexity and autocorrelation of generalized cyclotomic binary sequences with period \(4p^n \) ⋮ Whiteman's generalized cyclotomic numbers with respect to \(t\) primes ⋮ An extension of binary cyclotomic sequences having order 2lt ⋮ The linear complexity and 4-adic complexity of quaternary sequences with period \(pq\) ⋮ Linear complexity of generalized cyclotomic sequences with period \(p^nq^m\) ⋮ Cyclotomy and arithmetic properties of some families in Z[x/〈xpq − 1〉] ⋮ Two classes of near-optimal frequency-hopping sequence sets with prime-power period ⋮ A new class of quaternary generalized cyclotomic sequences of order 2d and length 2pm with high linear complexity ⋮ Generalized relative difference sets and partially balanced incomplete block designs ⋮ On error linear complexity of new generalized cyclotomic binary sequences of period \(p^2\) ⋮ Narcissistic half-and-half power-sequence terraces for \(\mathbb Z_n\) with \(n=pq^{t}\). ⋮ Relative addition sets and partially balanced incomplete block designs ⋮ Cyclic codes via the general two-prime generalized cyclotomic sequence of order two ⋮ Cyclotomic Numbers and Jacobi Sums: A Survey ⋮ A lower bound on the 2-adic complexity of the modified Jacobi sequence ⋮ Trace representation of some generalized cyclotomic sequences of length \(pq\) ⋮ Combinatorial constructions of packings in Grassmannian spaces ⋮ Constructions of almost difference families ⋮ Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6 ⋮ On Abelian difference set codes ⋮ Constructions of almost difference sets from finite fields ⋮ Computation of Maximal Determinants of Binary Circulant Matrices ⋮ On Whiteman's and Storer's difference sets ⋮ Hadamard ideals and Hadamard matrices with two circulant cores ⋮ Cyclotomy over products of finite fields and combinatorial applications ⋮ Autocorrelation and linear complexity of binary generalized cyclotomic sequences with period \(pq\) ⋮ 2-Adic and Linear Complexities of a Class of Whiteman’s Generalized Cyclotomic Sequences of Order Four ⋮ Linear complexity of a class of pseudorandom sequences over a general finite field ⋮ Codebooks from almost difference sets ⋮ Remarks on a cyclotomic sequence ⋮ Linear complexity and correlation of a class of binary cyclotomic sequences ⋮ The Number of Solutions of Some Congruences Modulo a Product of Primes ⋮ Linear complexity of generalized cyclotomic binary sequences of order 2 ⋮ New generalized cyclotomy and its applications ⋮ Symmetric 2-adic complexity of Ding-Helleseth generalized cyclotomic sequences of period \(pq\) ⋮ Structured Hadamard Conjecture ⋮ Linear complexity of Ding-Helleseth generalized cyclotomic sequences of order eight ⋮ Existence question for difference families and construction of some new families ⋮ Linear complexity of generalized cyclotomic sequences of period \(2p^m\) ⋮ On the 4-adic complexity of the two-prime quaternary generator ⋮ Complete congruences of Jacobi sums of order \(2l^2\) with prime \(l\) ⋮ A Bird’s-Eye View of Modern Symmetric Cryptography from Combinatorial Designs
This page was built for publication: A family of difference sets
