Topology

Create a correctable code for a list of key words. Your task is to create an efficient, correctable code for a list that contains 20 key words. The words in your code will be represented as binary strings using only 0’s and 1’s. Stringent correctability requirements mean your code must have a minimum distance of 3.

- Create a code consisting of binary codewords.

- The code must meet three requirements

 -- Contain at least 20 codewords

 -- Have a minimum distance of 3 (explain why a min distance of 4 is no better than 3)

 -- Maintain efficiency by using the fewest number of bits per codeword as possible

- Clearly document and describe your code: what it is, why you chose it, etc.

- Discuss how topology relates to the selection of your code and the Hamming metric