Simple method to find the trace of an arbitrary element of a finite field

Cardoso Da Rocha, Valdemar and Markarian, Garik (2006) Simple method to find the trace of an arbitrary element of a finite field. Electronics Letters, 42 (7). pp. 423-425. ISSN 0013-5194

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Abstract

A novel technique is described for computing the trace over GF(2) of an element from a given finite field GF(2m). This technique requires a primitive polynomial of degree m and a division circuit only, i.e. the usual knowledge of a table of powers of a primitive element of GF(2m) is not required. The computation of the minimal polynomial of an element of GF(2m) is derived as a function of the trace and of a sub-trace function

Item Type:
Journal Article
Journal or Publication Title:
Electronics Letters
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa75
Subjects:
ID Code:
60180
Deposited By:
Deposited On:
22 Nov 2012 14:38
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 08:13