Ok kiddo, let me explain Sophie Germain Counter Mode (SGCM) in a way you'll understand.
Imagine you have a secret message you want to send to your friend. You don't want anyone else to read it, so you decide to scramble it up using some fancy math.
SGCM is a way to scramble your message that involves using what's called a "nonce." A nonce is like a secret code that only you and your friend know. You use the nonce to create a new code for each block of your message.
Think of your message as a toy box filled with blocks that need to be scrambled up. Imagine you have a special keychain with a different key for each block. To scramble the first block, you use the key on your keychain to change the order of the blocks. For the second block, you use a different key on your keychain to scramble it up, and so on, until all the blocks are scrambled.
SGCM uses a similar technique to scramble your message, but instead of keys, it uses something called "ciphertext blocks." These ciphertext blocks are created by taking your nonce and adding it to a counter. The counter is like a number that increases by one each time a new block of message needs to be scrambled.
Once you have your ciphertext blocks, you use them to scramble each block of your message. It's like using a secret code book to translate each block of your message into a scrambled version.
When your friend receives your scrambled message, they use the same nonce and counter to unscramble it. They look up each ciphertext block in their own secret code book to figure out what it means, and then they put the blocks back together in the original order to read your secret message.
In summary, SGCM is a way to scramble a message using a special code called a nonce and ciphertext blocks. It helps keep your message secret from anyone who might try to read it.