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Web application on pairing-based cryptography Mogrovics, Alexander ; Dzurenda, Petr (referee) ; Ricci, Sara (advisor) Cílem této práce je osvětlit kryptografii eliptických křivek za pomoci webové aplikace. Sleduje matematické a algebraické principy vytvoření eliptických křivek v množině konečných těles a následné počítání s nimi, včetně bilineárního párování. Práce také popisuje architekturu a impementaci webové aplikace, která je tvořena šablonou s vloženými SageMathCell prvky, aby byly minimalizovány nároky na úložiště. Tato aplikace umožňuje uživatelům provádět výpočet bodů eliptické křivky v množině konečných těles a vykreslení jejich grafu, vykreslení grafu v množině reálných čísel, provádění operací nad body eliptických křivek, vytvoření bilineárního páru, ustanovení výměny klíčů mezi třemi stranami pomocí Diffie--Hellman protokolu a realizaci MOV útoku. Detailed record

Web application on pairing-based cryptography Mogrovics, Alexander ; Dzurenda, Petr (referee) ; Ricci, Sara (advisor) Cílem této práce je osvětlit kryptografii eliptických křivek za pomoci webové aplikace. Sleduje matematické a algebraické principy vytvoření eliptických křivek v množině konečných těles a následné počítání s nimi, včetně bilineárního párování. Práce také popisuje architekturu a impementaci webové aplikace, která je tvořena šablonou s vloženými SageMathCell prvky, aby byly minimalizovány nároky na úložiště. Tato aplikace umožňuje uživatelům provádět výpočet bodů eliptické křivky v množině konečných těles a vykreslení jejich grafu, vykreslení grafu v množině reálných čísel, provádění operací nad body eliptických křivek, vytvoření bilineárního páru, ustanovení výměny klíčů mezi třemi stranami pomocí Diffie--Hellman protokolu a realizaci MOV útoku. Detailed record

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