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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Simple method to find the trace of an arbitrary element of a finite field. / Cardoso Da Rocha, Valdemar; Markarian, Garik.
In: Electronics Letters, Vol. 42, No. 7, 30.03.2006, p. 423-425.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Cardoso Da Rocha, V & Markarian, G 2006, 'Simple method to find the trace of an arbitrary element of a finite field', Electronics Letters, vol. 42, no. 7, pp. 423-425. https://doi.org/10.1049/el:20060473

APA

Cardoso Da Rocha, V., & Markarian, G. (2006). Simple method to find the trace of an arbitrary element of a finite field. Electronics Letters, 42(7), 423-425. https://doi.org/10.1049/el:20060473

Vancouver

Cardoso Da Rocha V, Markarian G. Simple method to find the trace of an arbitrary element of a finite field. Electronics Letters. 2006 Mar 30;42(7):423-425. doi: 10.1049/el:20060473

Author

Cardoso Da Rocha, Valdemar ; Markarian, Garik. / Simple method to find the trace of an arbitrary element of a finite field. In: Electronics Letters. 2006 ; Vol. 42, No. 7. pp. 423-425.

Bibtex

@article{82a2682d700740f4838d33e4513359c2,
title = "Simple method to find the trace of an arbitrary element of a finite field",
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",
keywords = "finite field",
author = "{Cardoso Da Rocha}, Valdemar and Garik Markarian",
year = "2006",
month = mar,
day = "30",
doi = "10.1049/el:20060473",
language = "English",
volume = "42",
pages = "423--425",
journal = "Electronics Letters",
issn = "0013-5194",
publisher = "Institution of Engineering and Technology",
number = "7",

}

RIS

TY - JOUR

T1 - Simple method to find the trace of an arbitrary element of a finite field

AU - Cardoso Da Rocha, Valdemar

AU - Markarian, Garik

PY - 2006/3/30

Y1 - 2006/3/30

N2 - 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

AB - 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

KW - finite field

U2 - 10.1049/el:20060473

DO - 10.1049/el:20060473

M3 - Journal article

VL - 42

SP - 423

EP - 425

JO - Electronics Letters

JF - Electronics Letters

SN - 0013-5194

IS - 7

ER -