Encode integer 'm'

Decodes the ciphered integer using the secret 'd' key : m = c^d mod n. \n"; //echo "d == $d

"; //echo "c == $c

"; //echo "digits = $digits

"; //echo "\n\n\n\n\n"; //$gt100k = `./gt100k $digits`; //if ($gt100k != 1) //echo "

c^d ==

"; // check here that the exponentiation can actually be displayed // and use the recursive algorithms if it cannot // along with a warning about the length of time it could take. $digits = `./pow_digits $c $d `; $gt100_k = `./gt100k $digits`; //echo "./gt100k $digits"; //echo " gt100_k == $gt100_k"; $date = `date`; printf("

Start Time == %s

\n",$date); if ($gt100_k != 1) { echo "

The predicted number of digits from the exponentiation is less than 100,000.

It can therefore be shown in full

"; $c_to_d = `echo " $c ^ $d " | bc | sed -f ./nlhtml.sed `; echo $c_to_d; `echo " $c ^ $d " | bc | sed -f ./nlhtml.sed `; echo " % $n

"; echo "

this gives the 'in clear' result

"; $clear = `echo " ( $c ^ $d ) % $n " | bc | sed -f ./nlhtml.sed `; echo $clear; } else { echo "

The number of digits produced by the exponentiation of c^d is greater than 100,0000

"; echo "

The resursive (see recursive exponentiation break down ) routines will be applied instead to calculate c^d%n

"; $clear = `./cbe.sh 'A $c B $d C $n D'`; // php is very nasty about sending multiple args to scripts echo "

this gives the 'in clear' result

"; echo $clear; } $date = `date`; printf("

End Time == %s

\n",$date); printf("
"); ?> > > > > > > > > >