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a a graph has six vertices every two of which are joined by an edge each edge is colored red or white show that the
suppose that when a string of english text is encrypted using a shift cipher f p p k mod 26 the resulting ciphertext
describe the steps that alice and bob follow when they use the diffie-hellman key exchange protocol to generate a
a describe a procedure for finding the prime factorization of an integerb use this procedure to find the prime
a define the greatest common divisor of two integersb describe at least three different ways to find the greatest
a what does it mean for a to be an inverse of a modulo mb how can you find an inverse of a modulo m when m is a
a what is the difference between a public key and a private key cryptosystemb explain why using shift ciphers is a
find the original plaintext message from the ciphertext message produced by encrypting the plaintext message using a
describe how public key cryptography can be used to produce signed secret messages so that the recipient is relatively
describe how public key cryptography is being applied are the ways it is applied secure given the status of factoring
describe the history of the chinese remainder theorem describe some of the relevant problems posed in chinese and hindu
explain how probabilistic primality tests are used in practice to produce extremely large numbers that are almost
describe the lucas-lehmer test for determining whether a mersenne number is prime discuss the progress of the gimps
find a prime factor of each of 10 different 20-digit odd integers selected at random keep track of how long it takes to
describe the rabin public key cryptosystem explaining how to encrypt and how to decrypt messages and why it is suitable
explain why it would not be suitable to use p where p is a large prime as the modulus for encryption in the rsa
to prove summation formulae be sure to identify where you use the inductive hypothesislet p n be the statement that 12
there are infinitely many stations on a train route suppose that the train stops at the first station and suppose that
let p n be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps the parts
in a superlottery players win a fortune if they choose the eight numbers selected by a computer from the positive
what probability should be assigned to the outcome of heads when a biased coin is tossed if heads is three times as
a space probe near neptune communicates with earth using bit strings suppose that in its transmissions it sends a 1
the final exam of a discrete mathematics course consists of 50 truefalse questions each worth two points and 25
suppose that we roll a fair die until a 6 comes upa what is the probability that we roll the die n timesb what is the
a define the conditional probability of an event e given an event fb suppose e is the event that when a die is rolled