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This article explains a way that credit card information is stored safely without encryption. Tokenization is a completely different way of securing credit card information than encryption because it completely removes the credit card information and replaces it with a "token" that cannot be retraced to retrieve the credit card information. Encryption has the credit card information hidden somewhere, but tokenization erases it completely which makes it very secure.

The way NSA did to track individual's information in the credit cards.

Keep a paper trail: Print and save records of your online transactions, including the product description, price, online receipt, terms of the sale, and copies of any email exchange with the seller. Read your credit card statements as soon as you get them to make sure there aren't any unauthorized charges.

This website discusses procedure and purpose of encrypting sensitive data over the internet. SSL is a protocol which "determines variables of the encryption" being used to protect information from first names to credit card numbers. This website also tells you how to determine whether or not a website is secure or if your information is vulnerable. In addition, there is another page that delves into the mathematics and actual cryptography procedures behind online encryption like RSA and ECC.

This article discusses how there needs to be advanced cryptography in many facets of life for a person in the modern era from credit cards to phone calls to ATMS. It also describes how encryption uses such a large number of combinations, a brute force attack will never worm