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Inner Distance Measure Bounds on the Minimal Euclidean Distance for Symmetric PSK Block Codes
Responsible organisation
2009 (English)Conference paper, (Refereed) PublishedAlternative title
Gränser för minimala euklidiska avståndet för symmetriska blockkoder med inre avståndsmått (Swedish)
Abstract [en]

The minimum Euclidean distance is a fundamental quantity for block-coded PSK. In this paper improvements are made of bounds for this quantity that are explicit functions of the alphabet size q, block length n and code size |C|. Earlier work, where the restriction q=8 was used, is continued by a generalisation allowing any q. The bound generalizes Elias critical sphere argument, which localizes the optimization problem to one neighbourhood, by use of so called inner distance measure for defining the shape of a sphere. Remark that codes which fulfill the bound with equality exist, and are best possible in terms of minimum Euclidean distance, for given parameters q, n and |C|.

Abstract [sv]

Minimala euklidiska avståndet är en fundamental storhet för en blockkod C. I detta papper görs förbättrade gränser för denna storhet som är explicita i de tre parametrarna alfabet storlek q, ordlängd n och kodstorlek c. Vi generaliserar Elias sfärargument genom att optimera ett inre avståndsmått så att vi får bästa tänkbara gräns för Euklidiskt avstånd.

Place, publisher, year, edition, pages
Dublin, Irland, 2009.
Keyword [en]
block code, Elias sphere, Euclidean distance, phase shift keying
National Category
Mathematics Telecommunications
Identifiers
URN: urn:nbn:se:bth-7813Local ID: oai:bth.se:forskinfo3CCCB0A5353939B0C125773D003BE3CBOAI: oai:DiVA.org:bth-7813DiVA: diva2:835475
Conference
9th International Conference on Finite Fields and their Applications
Available from: 2012-09-18 Created: 2010-06-09 Last updated: 2015-06-30Bibliographically approved

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf