WO2024201395 - RANDOM GENERATOR OF ORTHOGONAL MATRICES IN FINITE FIELDS
National phase entry:
Publication Number
WO/2024/201395
Publication Date
03.10.2024
International Application No.
PCT/IB2024/053068
International Filing Date
29.03.2024
Title **
[English]
RANDOM GENERATOR OF ORTHOGONAL MATRICES IN FINITE FIELDS
[French]
GÉNÉRATEUR ALÉATOIRE DE MATRICES ORTHOGONALES DANS CHAMPS FINIS
Applicants **
NEW YORK UNIVERSITY IN ABU DHABI CORPORATION
Saadiyat Island
P.O. Box 129188
Abu Dhabi, AE
Inventors
EPHREMIDZE, Lasha
Saadiyat Island
P.O. Box 129188
Abu Dhabi, AE
SPITKOVSKY, Ilya
Saadiyat Island
P.O. Box 129188
Abu Dhabi, AE
Priority Data
63/455,534
29.03.2023
US
Application details
| Total Number of Claims/PCT | * |
| Number of Independent Claims | * |
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| Number of Multi-Dependent Claims | * |
| Number of Drawings | * |
| Pages for Publication | * |
| Number of Pages with Drawings | * |
| Pages of Specification | * |
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International Searching Authority |
MOIP
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| Applicant's Legal Status |
Legal Entity
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| Entry into National Phase under |
Chapter I
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| Translation |
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Quotation for National Phase entry
| Country | Stages | Total | |
|---|---|---|---|
| China | Filing | 1104 | |
| EPO | Filing, Examination | 6777 | |
| Japan | Filing | 531 | |
| South Korea | Filing | 575 | |
| USA | Filing, Examination | 2635 |
Total: 11622 USD
The term for entry into the National Phase has expired. This quotation is for informational purposes only
Abstract[English]
Systems and methods for generating n × n orthogonal matrices in the Galois field GF(q) that is highly efficient and can handle large values of n and q. This method is based on random selection. In addition, this method can be used to construct paraunitary filter banks over finite fields, in applications such as signal processing. This approach can be useful constructing orthogonal matrices that satisfy specific constraints, making it potentially valuable for applications in coding theory and encryption.[French]
L'invention concerne des systèmes et des procédés permettant de générer n × n matrices orthogonales dans le champ de Galois GF(q) qui est hautement efficace et peut traiter de grandes valeurs de n et q. Le présent procédé repose sur une sélection aléatoire. De plus, le présent procédé peut être utilisé pour construire des bancs de filtres paraunitaires sur des champs finis, dans des applications telles que le traitement de signaux. La présente approche peut être utile pour construire des matrices orthogonales qui satisfont des contraintes spécifiques, ce qui la rend potentiellement utile pour des applications dans la théorie de codage et le chiffrement.