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Generatori di numeri casuali per la crittografia                              Di Cristiano Armellini (cristiano.armellini@...
Possiamo usare anche l’Excel mettendo in ogni cella un numero casuale (generato tramite la funzionecasuale()).Generare num...
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Generatori di numeri casuali per la crittografia

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numeri casuali e crittografia

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Generatori di numeri casuali per la crittografia

  1. 1. Generatori di numeri casuali per la crittografia Di Cristiano Armellini (cristiano.armellini@alice.it)Sappiamo che una delle maggiori difficoltà del cifrario perfetto di Vernam è quello di generare un numerocasuale (la chiave di crittografia/decrittografia) che sia lunga quanto il messaggio. Un modo per risolvere ilproblema è quello di generare un numero casuale di dimensione n pensato come n numeri casuali dinumero tra o e 9. Ovvero: cas(9)x cas(9) = cas(99) sta ad indicare per esempio che due numeri casuali tra 0e 9 generano insieme un numero casuale tra 0 e 99 (qui x è il prodotto insiemistico cartesiano). Possiamosviluppare una applicazione in VB.NETModule Module1 Sub Main() Dim ran As New Random(Timer) Dim n As Integer n = 40 Dim cas(n) As Integer Dim i As Long For i = 0 To n - 1 Dim a As Integer a = ran.Next(0, 9) cas(i) = Int(a) Next i Console.WriteLine("generazione di un numero di dimensione n") Dim j As Integer For j = 0 To n - 1 Console.Write(cas(j)) Next j Dim temp As String temp = Console.ReadLine() End SubEnd Module
  2. 2. Possiamo usare anche l’Excel mettendo in ogni cella un numero casuale (generato tramite la funzionecasuale()).Generare numeri così grandi potrebbe avere un’altra applicazione: si genera un numero di 100 cifre e siverifica tramite un test di primalità se è primo: dopo alcuni tentativi si trova il numero primo. Poi siprosegue cercando un secondo primo di dimensione diversa (ad esempio da 120 cifre). Dopo alcunitentativi si trova anche il secondo numero primo. Quindi si moltiplicano i due numeri e si inizia il processocrittografico secondo l’algoritmo RSA.

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