Cyclic Redundancy Check Error Detection | Generated by AI

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What is CRC?

Yes, you’re on the right track! CRC stands for Cyclic Redundancy Check. It’s a widely used error-detection technique in the data link layer (as you mentioned in your OSI model context for node-to-node delivery on the same network). It’s not exactly like a simple parity check (which just adds one bit to detect odd/even errors), but it does use redundant bits (called a checksum or remainder) to detect a much broader range of transmission errors. Let me break it down simply.

How CRC Works (High-Level Explanation)

  1. The Setup:
    • Imagine your data as a binary number (e.g., the frame payload in Ethernet).
    • You choose a fixed “generator polynomial” (a predefined binary value, like 1011 for CRC-4). This is like a divisor in math.
    • The data is treated as a large binary polynomial, and you append k redundant bits (zeros) to it, where k is the length of the generator minus 1 (e.g., 3 zeros for a 4-bit generator).
  2. The Calculation:
    • Perform modulo-2 division (XOR-based division, no borrowing/carrying like regular math) on the augmented data using the generator.
    • The remainder from this division becomes your CRC checksum.
    • Append this remainder to the original data and send the whole frame.
  3. At the Receiver:
    • The receiver does the same modulo-2 division on the received frame (data + CRC).
    • If the remainder is zero, the data is likely error-free. If not, an error occurred (e.g., bit flips during transmission).
    • CRC can detect:
      • Single-bit errors.
      • Burst errors (up to the length of the generator).
      • Most multi-bit errors (with very low false positives).

It’s “cyclic” because it wraps around like a circle in polynomial math, making it efficient for hardware implementation (e.g., in NICs or switches).

CRC vs. Parity Check

Real-World Example in Ethernet

In an Ethernet frame:

CRC is fast, cheap in hardware, and standard in protocols like Ethernet, PPP, Wi-Fi, and even storage (e.g., hard drives).

If you want a code demo of CRC calculation or more on how it fits into framing/MAC, let me know!

References


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