Reflections about a Single Checksum

Tamm U.

3rd International Workshop on Arithmetic of Finite Fields, İstanbul, Turkey, 27 - 30 June 2010, vol.6087, pp.238-249 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 6087
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.238-249


A single checksum for codes consisting of n integer components is investigated. In coding theory this is mostly used for single error correction in unconventional error models. If the errors are such that a single component c(i) is distorted to c(i)+/-e(i), the analysis leads to equivalent group factorizations. We shall present several code constructions for this model, give a short survey on the coding theoretical and mathematical background, and also emphasize applications in cryptography and computer science.