Non-existence of some nearly perfect sequences, near butson–hadamard matrices, and near conference matrices

A Winterhof, O Yayla, V Ziegler - Mathematics in Computer Science, 2018 - Springer
In this paper we study the non-existence problem of (nearly) perfect (almost) m-ary
sequences via their connection to (near) Butson–Hadamard (BH) matrices and (near) …

Almost p-ary sequences

B Özden, O Yayla - Cryptography and Communications, 2020 - Springer
In this paper we study almost p-ary sequences and their autocorrelation coefficients. We first
study the number ℓ of distinct out-of-phase autocorrelation coefficients for an almost p-ary …

New results on nonexistence of perfect p-ary sequences and almost p-ary sequences

HY Liu, KQ Feng - Acta Mathematica Sinica, English Series, 2016 - Springer
Complex periodical sequences with lower autocorrelation values are used in CDMA
communication systems and cryptography. In this paper we present new nonexistence …

Nearly perfect sequences with arbitrary out-of-phase autocorrelation

O Yayla - arXiv preprint arXiv:1408.6883, 2014 - arxiv.org
In this paper we study nearly perfect sequences (NPS) via their connection to direct product
difference sets (DPDS). We prove the connection between a $ p $-ary NPS of period $ n …

On the Non-Existence of Certain Classes of Perfect -Ary Sequences and Perfect Almost -Ary Sequences

C Lv - IEEE Transactions on Information Theory, 2017 - ieeexplore.ieee.org
We obtain new non-existence results of perfect p-ary sequences with period n (called type
[p, n]). The first case contains a class with type [pm 5 (mod 8), pa qn']. The second case …

Ideal factorization method and its applications

S Kurt, O Yayla - … Conference on Applications of Mathematics and …, 2017 - Springer
In this work the unsolvability of certain equations is studied in the case of cyclotomic number
fields whose ring of integers is not a principal ideal domain. Winterhof et al. considered the …

[PDF][PDF] CDMA Sistemleri için Yeni Mükemmel Dizi Örnekleri

KSAKG Akıllı, ESWO Görüntülenmesi… - BİLDİRİ …, 2018 - acikerisim.aksaray.edu.tr
Mobil iletişimde oldukça popüler olan kod bölmeli çoklu erişim (code division multiple
access-CDMA) sisteminde her kullanıcı sinyallerini iletmek için farklı diziler kullanır. Bu …

[PDF][PDF] CDMA Sistemleri için Yeni Mükemmel Dizi Örnekleri

S Kurt, O Yayla - 2017 - ab.org.tr
Mobil iletişimde oldukça popüler olan kod bölmeli çoklu erişim (code division multiple
access-CDMA) sisteminde her kullanıcı sinyallerini iletmek için farklı diziler kullanır. Bu …

[PDF][PDF] Difference Sets From Projective Planes

M Lavrauw - d-nb.info
The topic of this dissertation are several types of generalized difference sets in abelian
groups. First, we concentrate on (q, q, q, 1)-relative difference sets with q odd, which are …

Existence problem of almost p-ary perfect and nearly perfect sequences

CC Yıldırım - 2012 - open.metu.edu.tr
Almost p-ary perfect and nearly perfect sequences are equivalent to certain relative
difference sets and direct product difference sets, respectively. This feature enables Chee …