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HAL Id: inria-00070569 https://hal.inria.fr/inria-00070569 Submitted on 19 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. RN-codes : algorithmes d’addition, de multiplication et d’élévation au carré Jean-Michel Muller, Jean-Luc Beuchat To cite this version: Jean-Michel Muller, Jean-Luc Beuchat. RN-codes : algorithmes d’addition, de multiplication et d’élévation au carré. [Rapport de recherche] RR-5438, LIP RR-2004-60, INRIA, LIP. 2004, pp.17. inria-00070569
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Page 1: RN-codes: algorithmes d'addition, de multiplication et d ...

HAL Id: inria-00070569https://hal.inria.fr/inria-00070569

Submitted on 19 May 2006

HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, estdestinée au dépôt et à la diffusion de documentsscientifiques de niveau recherche, publiés ou non,émanant des établissements d’enseignement et derecherche français ou étrangers, des laboratoirespublics ou privés.

RN-codes : algorithmes d’addition, de multiplication etd’élévation au carré

Jean-Michel Muller, Jean-Luc Beuchat

To cite this version:Jean-Michel Muller, Jean-Luc Beuchat. RN-codes : algorithmes d’addition, de multiplication etd’élévation au carré. [Rapport de recherche] RR-5438, LIP RR-2004-60, INRIA, LIP. 2004, pp.17.�inria-00070569�

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ISS

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N IN

RIA

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FR ap por t

de r ech er ch e

Thème SYM

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

RN-codes : algorithmes d’addition, de multiplicationet d’élévation au carré

Jean-Luc Beuchat et Jean-Michel Muller

N° 5438

Décembre 2004

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Unité de recherche INRIA Rhône-Alpes655, avenue de l’Europe, 38334 Montbonnot Saint Ismier (France)

Téléphone : +33 4 76 61 52 00 — Télécopie +33 4 76 61 52 52

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(a) n = 5

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2p(s)2p(c)

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1 1

Recodage

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Page 21: RN-codes: algorithmes d'addition, de multiplication et d ...

Unité de recherche INRIA Rhône-Alpes655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier (France)

Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes4, rue Jacques Monod - 91893 ORSAY Cedex (France)

Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France)

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France)Unité de recherche INRIA Rocquencourt : Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France)

Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France)

ÉditeurINRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France)��������� ���� ���������� ��� ���

ISSN 0249-6399


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