Galois Fields And Construction of 2k-1 Designs with Highest Resolution

Year 2010, Volume: 3 Issue: 1, 45 - 53, 30.06.2010

N. Danacıoğlu , F. Z. Muluk

Abstract

Fractional factorialdesigns are commonly used in practice. In this article, the finite flelds theory and

polynomials over Galois fields were used to design 2k-1 designs with highest resolution.

Keywords

Factorial designs, Fractional factorial designs, Finite fileds, Galois field; Polynomials

Galois cisimleri ve en yüksek çözümlü 2^k-1 tasarımlarının oluşturulması

Abstract

Kesirli çok
etkenli tasarımları, uygulamada yaygın olarak kullanılmaktadır. Bu çalışmada,
sonlu cisim teorisinden, Galois cisimleri üzerindeki polinomlardan
yararlanarak, 2^k-1tasarımlarının nasıl oluşturulabileceği
gösterilmiştir.  

Keywords

Çok etkenli tasarımlar, Kesirli çok etkenli tasarımlar, sonlu cisimler, Galois cismi, polinomlar

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