The general topic is the following: Error Correction Codes and Error Detection Codes, and I need answers/solutions for the followings:

I - Define:

a. The definition of a valid codeword

b.The definition of a complete code

c. The Hamming distance between two codewords

d. The Hamming distance of a complete code

e. The error correction capability of a complete code

f. The error detection capability of a complete code

II - Error correction code:

g. Using Hamming coding to encode bit stream: 10011010010 (Provide details)

h. Explain the main idea of the LDPC code (Use a diagram to show how an input data block is encoded.)

i. Explain the main idea of the polar code (Use a diagram to show how an input data block is encoded.)

III - Error detection code:

j. Using CRC with general polynomial x⁴ + x³ + 1 to encode 111011011 (Provide details)

k. Explain how CRC is performed by hardware? (Use one diagram to explain the encoding process and another one to explain the decoding process.)

IV - Codes in standards:

l. IEEE 802.11 Standard

1.In Chapter 9, find the polynomial used for CRC error detection.

2. In Chapter 15, find the polynomial used for CRC error detection.

m. 5G NR Standard

1. How LDPC code is used in 5G NR standard?

2. How polar code is used in 5G NR standard?

3. Why is the distributed CRC used in 5G NR?