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Everything about Erasure Code totally explained

In computer science, an erasure code transforms a message of n blocks into a message with more than n blocks, such that the original message can be recovered from a subset of those blocks. The fraction of the blocks required is called the rate, denoted r. Erasure codes are used in some forms of forward error correction. Optimal erasure codes produce n/r blocks where any n blocks is sufficient to recover the original message. Unfortunately optimal codes are costly (in terms of memory usage, CPU time or both) when n is large, and so near optimal erasure codes are often used. These require (1+ε)n blocks to recover the message. Reducing ε can be done at the cost of CPU time. Fountain codes (also known as rateless erasure codes) transform an n block message into a practically infinite encoded form. Encoded symbols can be generated ad infinitum and some number of them is enough to recover the message.

Examples

Near optimal erasure codes

Near optimal fountain (rateless erasure) codes

  • Online codes
  • LT codes
  • Raptor codes

    Optimal erasure codes

  • Parity: used in redundant array of independent disks
  • Optimal erasure codes with arbitrary parameters are surprisingly simple.
  • Reed-Solomon codingFurther Information

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