Results 251 to 260 of about 5,218,588 (299)

Image-based evaluation of a commercial AI synthetic CT generator for brain and prostate MR-only radiotherapy. [PDF]

open access: yesJ Appl Clin Med Phys
Aire M   +7 more
europepmc   +1 more source

Optimal difference systems of sets and difference sets

Aequationes Mathematicae, 2011
Difference systems of sets (DSSs) are combinatorial structures that are generalizations of cyclic difference sets and arise in connection with code synchronization. In this paper, a recursive construction of DSSs with smaller redundancy from partition-type DSSs and difference sets are given, in connection with Paley-Hadamard difference sets. These DSSs
Jinhua Wang
exaly   +2 more sources

On Residue Difference Sets

open access: yesCanadian Journal of Mathematics, 1953
In recent years the subject of difference sets has attracted a considerable amount of attention in connection with problems in finite geometries [4]. Difference sets arising from higher power residues were first discussed by Chowla [1], who proved that biquadratic residues modulo p
Emma Lehmer
openaire   +2 more sources

Disjoint difference sets, difference triangle sets, and related codes

IEEE Transactions on Information Theory, 1992
Summary: Disjoint difference sets (DDS), difference triangle sets (DTS), and related codes are discussed and a recursive construction for DDS is given. With this construction and the relationship between DDS and DTS, many new upper bounds for DTS and some better orthogonal codes are obtained.
Zhi Chen 0032, Pingzhi Fan, Fan Jin
exaly   +2 more sources

Difference Sets and Hyperovals

open access: yesDesigns, Codes and Cryptography, 1998
Let \(q=2^d\), \(2\leq k\leq q-2\) and \((k,q-1)=(k-1,q-1)=1\). The set of points of \(\text{PG} (2,q)\) (represented by homogeneous coordinates) \(D(k)=\{(1,t,t^k)\mid t\in \text{GF} (q)\}\cup\{(0,1,0),(0,0,1)\}\) is a hyperoval iff \(\{t+t^k\mid t\in \text{GF} (q)\setminus\{0\}\}\) is a difference set in the multiplicative group of \(\text{GF}(q ...
MASCHIETTI, Antonio
openaire   +3 more sources

A nonexistence result on difference sets, partial difference sets and divisible difference sets

Journal of Statistical Planning and Inference, 2001
A new nonexistence theorem is proved for abelian difference sets. As an application, the nonexistence of the previously unknown difference sets \((243, 121, 60)\) in \(Z_9\times Z_{27}\) and \((351, 126, 45)\) in \(Z_{351}\) is established.
Arasu, K.T., Ma, S.L.
openaire   +3 more sources

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