Yazar "35963" için Matematik Bölümü listeleme

Yazar "35963" için Matematik Bölümü listeleme

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  • Additive Toeplitz codes over F4 
    Şahin, Murat; Özimamoğlu, Hayrullah (2020)
    In this paper, we introduce additive Toeplitz codes over F4. The additive Toeplitz codes are a generalization of additive circulant codes over F4. We find many optimal additive Toeplitz codes (OATC) over F4. These ...
  • Classification of optimal additive toeplitz codes over GF(4) 
    Özimamoğlu, Hayrullah; Şahin, Murat (2018-06-27)
    We denote GF_4={0,1,w,w^2} where w^2=w+1. An additive code C over GF_4 of length n is an additive subgroup of GF_4^n . C contains 2^k codewords for some 0<=k<= 2n, and can be defined by a kxn generator matrix, with entries ...
  • Construction of the binary simplex codes and the first order reed-muller codes 
    Özimamoğlu, Hayrullah; Şahin, Murat (2018-06-27)
    GF(q) denote the finite field with q elements. An [n,k,d] linear code C over GF(q) is a k-dimensional subspace of GF(q) ^n with minimum (Hamming) distance d. The vectors in C are codewords of C. Specially, codes over ...
  • F_4 üzerindeki optimal ve hemen hemen optimal toeplitz toplamsal kodların inşası 
    Özimamoğlu, Hayrullah; Şahin, Murat (2019-03-28)
    Giriş: Dört elemanlı bir cisim w^2=w+1 olmak üzere F_4={0,1,w,w^2 } ile gösterilsin. n uzunluğunda F_4 üzerindeki bir C toplamsal kodu, F_4^n toplamsal grubunun bir alt grubudur. C toplamsal kodunun üreteç matrisi, ...
  • K-autocorrelation and its applications 
    Özimamoğlu, Hayrullah; Şahin, Murat; Ölmez, Oktay (2019)
    The standard autocorrelation measures similarities between a binary sequence and its any shifted form. In this paper, we introduce the concept of the k-autocorrelation of a binary sequence as a generalization of the ...
  • K-Autocorrelation and Its applications 
    Şahin, Murat; Özimamoğlu, Hayrullah (2017-05-11)
    The standart autocorrelation is used to measure the similarities between a binary sequence and its any shifted form. It has applications in communication systems and cryptography. Let a =(a_0,a_1,a_2,...,a_n-1) be a ...
  • Leonardo octonions 
    Özimamoğlu, Hayrullah (2022-06-16)
    In this paper, we introduce a new class of octonions. We define the Leonardo octonions. Then, we obtain some algebraic properties of the Leonardo octonions such as the generating function, Binet formula, some summation ...
  • On a new class of the generalized gauss k-pell numbers and their polynomials 
    Kaya, Ahmet; Özimamoğlu, Hayrullah (2022-10-12)
    In this article, we generalize the well-known Gauss Pell numbers and refer to them as generalized Gauss k-Pell numbers. There are relationships discovered between the class of generalized Gauss k-Pell numbers and the ...
  • On a new family of the generalized gauss k-pell-lucas numbers and their polynomials 
    Özimamoğlu, Hayrullah; Kaya, Ahmet (2022-06-16)
    In this paper, we generalize the known Gauss Pell-Lucas numbers, and call such numbers as the generalized Gauss k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gauss k-Pell-Lucas numbers ...