Alice is using a one$-$time pad on the alphabet Z$2=\{0,1\}$ with addition modulo $2.$ The key for this one$-$time pad is generated by a primitive $5-$bit shift register. Eve intercepts the following ciphertext: $000110001011011.$ Her spies have informed her that the initial part of the plaintext is $1000111011.$ Decipher the full ciphertext. Show your working.