Presentation 2001/9/7
An Upper Bound on the Average Probability of an Undetected Error for the Ensemble of Binary Expansions of Concatenated Codes with Generalized Reed-Solomon Outer Codes
Toshihisa NISHIJIMA,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We derive an upper bound on the average probability of an undetected error for the ensemble of binary expansions of concatenated codes with generalized Reed-Solomon outer codes by applying the technique of proof to get an upper bound on the average probability of an undetected error for the ensemble of all binary linear systematic codes. It is shown in this paper that the average capacity for the ensemble of binary expansions of concatenated codes with generalized Reed-Solomon outer codes is poorer than that for all systematic binary linear block codes.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Concatenated Codes / Varshamov-Gilbert Bound / Expurgated Bound / The Probability of an Undetected Error / Weight Distribution
Paper # IT2001-35
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Committee IT
Conference Date 2001/9/7(1days)
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Registration To Information Theory (IT)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Upper Bound on the Average Probability of an Undetected Error for the Ensemble of Binary Expansions of Concatenated Codes with Generalized Reed-Solomon Outer Codes
Sub Title (in English)
Keyword(1) Concatenated Codes
Keyword(2) Varshamov-Gilbert Bound
Keyword(3) Expurgated Bound
Keyword(4) The Probability of an Undetected Error
Keyword(5) Weight Distribution
1st Author's Name Toshihisa NISHIJIMA
1st Author's Affiliation Faculty of Computer and Information Sciences, Hosei University()
Date 2001/9/7
Paper # IT2001-35
Volume (vol) vol.101
Number (no) 304
Page pp.pp.-
#Pages 6
Date of Issue