Multiplication modules which are distributive

Date

1988-10

Author

Erdoğdu, Vahap

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

94
views

0
downloads

We prove results which include necessary and sufficient conditions for a multiplication module to be distributive

URI

https://hdl.handle.net/11511/52042

Journal

Journal of Pure and Applied Algebra

DOI

https://doi.org/10.1016/0022-4049(88)90031-x

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On the Polynomial Multiplication in Chebyshev Form Akleylek, Sedat; Cenk, Murat; Özbudak, Ferruh (2012-04-01) We give an efficient multiplication method for polynomials in Chebyshev form. This multiplication method is different from the previous ones. Theoretically, we show that the number of multiplications is at least as good as Karatsuba-based algorithm. Moreover, using the proposed method, we improve the number of additions slightly. We remark that our method works efficiently for any N and it is easy to implement. To the best of our knowledge, the proposed method has the best multiplication and addition comple...
Additive polynomials and primitive roots over finite fields Özbudak, Ferruh (2001-01-01) We prove existence of primitive roots with a prescribed nonzero image using the arithmetic of algebraic function fields for a class of polynomials over sufficiently large finite fields.
On m-th roots of nilpotent matrices Öztürk, Semra (2021-11-01) A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in terms of the multiplicities of Jordan blocks is obtained and expressed as a system of linear equations with nonnegative integer entries which is suitable for computer programming. Thus, computation of the Jordan form of the m-th power of a nilpotent matrix is reduced to a single matrix multiplication; conversely, the existence of an m-th root of a nilpotent matrix is reduced to the existence of a nonnegative ...
Characterisation and enumeration of a class of semi bent quadratic Boolean functions KOÇAK, Neşe; Koçak, Onur Ozan; Özbudak, Ferruh; SAYGI, ZÜLFÜKAR (2015-01-01) In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before and we proved that semi-bent functions of this form exist only for 6|n. Furthermore, we present a method for enumeration of semi-bent and bent functions in certain classes. Using this method we find the exact number of semi-bent functions of this form. Moreover, we complete some previous ...
Polynomial Multiplication over Finite Fields using Field Extensions and Interpolation Cenk, Murat; Özbudak, Ferruh (2009-06-10) A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation as Toom-Cook method together with field extensions. Furthermore, the proposed method can be used when Toom-Cook method cannot be applied directly. Explicit formulae improving the previous results in many cases are obtained.

Citation Formats

V. Erdoğdu, “Multiplication modules which are distributive,” Journal of Pure and Applied Algebra, pp. 209–213, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52042.