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symbol-erasure · shipping · also Known erasure

Symbol erasure

A symbol erasure is a codeword position whose value is unavailable or deliberately discarded and whose location is known to the decoder.

Related Observatory article: Symbol erasure on hesela.com

An erased value is not a zero, and an incorrect value at an unidentified position remains an error. The distinction is part of the decoder input contract, not a diagnosis of why storage failed. [1] Hesela's six-symbol example shows that identifying the actual damaged coordinate enables recovery, whereas discarding a healthy coordinate can leave a unique wrong result. [2]

Relations

related
error-and-erasure-decoding, reed-solomon-code, erasure-coding, codeword, checksum

Limitations

Citations

  1. G. David Forney. Principles of Digital Communication II, MIT 6.451 (2005), section 6.5.3: bounded-distance erasure-and-error correction. (accessed 2026-10-15)
  2. Hesela: exact GF(7) errors-and-erasures examples, including an ambiguous observation and false-identification negative control. (accessed 2026-10-15)

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