I want to self-study some abstract algebra and cryptography during the summer, so what are some of books that are suitable for self-study? I have very limited background in algebra and none in cryptography, and like to learn by examples. Also, please let me know if there are any books on these subjects with solutions to most of the exercises, so I can check on myself. (I saw yunone's post about good algebra books, but I would like to focus more on those with good exercises and detailed solutions.)
All suggestions are welcome! Thank you!!