Public-Key Cryptography and Key Exchange · بذر 1 · A۴، مناسب چاپ. پاسخ‌نامه در صفحه‌ای جدا برای بزرگ‌ترها چاپ می‌شود.
به انگلیسی

Split the secret, share half openly

رایانش · شبکه‌ها و امنیت · سن ۲۰ تا ۲۲ سال
نام ______________________   تاریخ ____________
  1. What can the public half of a key pair do?

    • Unlock anything locked by anyone
    • Lock a message only the private half unlocks
    • Replace the private half entirely with a copy
  2. The private half of a key pair is never revealed to anyone.

    دور یکی دایره کشیدن:   درست   نادرست

  3. A pair (3, 4) is scrambled by multiplying [[1, 2], [0, 1]] times the pair as a column. What is the first number of the new pair?

    پاسخ: ______________

  4. Maya scrambles a secret note by multiplying each pair of numbers by the matrix [[1, 2], [0, 1]]. To turn the scrambled note back into the real one, what do you multiply by?

    • The same matrix [[1, 2], [0, 1]] again
    • The undoing matrix [[1, -2], [0, 1]]
    • Any matrix that has the same numbers in it
    • Nothing can undo it
  5. Why do computers swap a symmetric key instead of carrying the chat on public-key methods?

    • Public-key methods are slower, so the fast cipher carries the talk
    • Symmetric keys cannot be swapped at all
    • Chats are too short for symmetric ciphers to handle
  6. A note has the pair (3, 4). It is scrambled by multiplying the matrix [[1, 2], [0, 1]] times the pair as a column, which gives a new pair. What is the first number of the new pair?

    پاسخ: ______________

  7. In this matrix secret-message method, if you publish the scrambling matrix for everyone to see, people can work out the undoing matrix from it, so this method cannot safely have one public half.

    دور یکی دایره کشیدن:   درست   نادرست

  8. You publish the toy scrambling matrix for all to see. Why is there no safe public half?

    • Nobody can multiply matrices in public
    • Anyone can compute the undoing matrix
    • Published matrices stop working entirely for everyone
  9. A new pair (5, 1) is scrambled by multiplying [[1, 2], [0, 1]] times the pair as a column. What is the first number of the result?

    • 5
    • 6
    • 7
  10. Two strangers exchange key messages while somebody records everything. What does the watcher end with?

    • The agreed secret, read straight from the recordings themselves
    • Recorded messages but nothing that reveals the secret
    • Nothing at all, the line goes silent
LightMySky · lightmysky.comW1-mt_AHCtrer4eh-s1

پاسخ‌نامه

برای بزرگ‌ترها. تا کردن این صفحه پیش از تحویل بقیه.

Split the secret, share half openly W1-mt_AHCtrer4eh-s1

  1. Lock a message only the private half unlocks · Locking is public, unlocking stays private to the key owner.
  2. درست · Publishing it would hand every reader the power to unlock.
  3. 11 · First row gives 1 times 3 plus 2 times 4, which is 11.
  4. The undoing matrix [[1, -2], [0, 1]] · Scrambling with a matrix is undone only by its inverse matrix, the matching half that reverses the first half.
  5. Public-key methods are slower, so the fast cipher carries the talk · Public-key sets up the secret, then the fast shared key does the heavy lifting.
  6. 11 · Multiplying (3, 4) by [[1, 2], [0, 1]] gives (1*3 + 2*4, 0*3 + 1*4) = (11, 4), so the first number is 11.
  7. درست · True. Anyone who knows the scrambling matrix can compute its inverse with a short formula, so both halves leak at once. Real public-key systems use math where the undo half stays hidden even when the scramble half is published.
  8. Anyone can compute the undoing matrix · Both halves leak at once here, unlike real systems where the undo half stays hidden.
  9. 7 · First row gives 1 times 5 plus 2 times 1, which is 7.
  10. Recorded messages but nothing that reveals the secret · Overhearing every message still yields no usable secret when the math holds.
کاربرگ · LightMySky