A New Class Of Three-Weight Linear Codes From Weakly Regular Plateaued Functions

Mesnager, Sihem
Özbudak, Ferruh
Sınak, Ahmet


A new class of quaternary LCZ sequence sets
Özbudak, Ferruh; SAYGI, ZÜLFÜKAR (Springer Science and Business Media LLC, 2012-02-01)
In this article, we present a construction of low correlation zone (LCZ) sequence sets. This construction gives a new class of quaternary LCZ sequence sets. Furthermore, we observe a generalization of the LCZ sequence sets in Kim et al. (IEEE Trans Inform Theory 52(10):4607-4616, 2006) by using an orthogonal transformation. The obtained LCZ sequence sets are optimal with respect to the Tang, Fan and Matsufuji bound.
Erkoç, Şakir (Wiley, 1992-06-01)
A new empirical many-body potential energy function (PEF) is proposed, which comprices two- and three-body atomic interactions. The two-body potential is a kind of hybrid function and the three-body potential is formed by additive and nonadditive functions. The additive part is expressed in terms of two-body interactions, and the nonadditive part is expressed as triple-dipole function. The PEF satisfies bulk cohesive energy, bulk stability condition, and bulk modulus. The PEF is parameterized for gold, silv...
A new lower bound on the family complexity of Legendre sequences
Cakiroglu, Yagmur; Yayla, Oğuz (Springer Science and Business Media LLC, 2020-06-01)
In this paper we study a family of Legendre sequences and its pseudo-randomness in terms of their family complexity. We present an improved lower bound on the family complexity of a family based on the Legendre symbol of polynomials over a finite field. The new bound depends on the LambertWfunction and the number of elements in a finite field belonging to its proper subfield. Moreover, we present another lower bound which is a simplified version and approximates the new bound. We show that both bounds are b...
A New method for markov processes with repetitive structures
Tüfekçi, Tolga; Güllü, Refik; Department of Industrial Engineering (1998)
A New Representation of Elements of Binary Fields with Subquadratic Space Complexity Multiplication of Polynomials
Özbudak, Ferruh; Cenk, Murat (2013-10-01)
In this paper, Hermite polynomial representation is proposed as an alternative way to represent finite fields of characteristic two. We show that multiplication in Hermite polynomial representation can be achieved with subquadratic space complexity. This representation enables us to find binomial or trinomial irreducible polynomials which allows us faster modular reduction over binary fields when there is no desirable such low weight irreducible polynomial in other representations. We then show that the pro...
Citation Formats
S. Mesnager, F. Özbudak, and A. Sınak, “A New Class Of Three-Weight Linear Codes From Weakly Regular Plateaued Functions,” 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/79580.