Some Connection between Algebraic Structure and Block Codes Some Connection between Algebraic...

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Some Connection between Algebraic Structure and Block Codes Marjan Kuchaki Rafsanjani Department of Computer Science, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran Co-authors: Arsham Borumand Saeid Hamideh Fatemidokht Cristina Flaut AAA90 The 90 th workshop on General Algebra 1

Transcript of Some Connection between Algebraic Structure and Block Codes Some Connection between Algebraic...

Page 1: Some Connection between Algebraic Structure and Block Codes Some Connection between Algebraic Structure and Block Codes Marjan Kuchaki Rafsanjani Department.

Some Connection between Algebraic Structure and Block

Codes

Marjan Kuchaki Rafsanjani

Department of Computer Science, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman,

Kerman, Iran

Co-authors:

Arsham Borumand SaeidHamideh Fatemidokht

Cristina Flaut

AAA90The 90th workshop on General Algebra 1

Page 2: Some Connection between Algebraic Structure and Block Codes Some Connection between Algebraic Structure and Block Codes Marjan Kuchaki Rafsanjani Department.

Outline

IntroductionPreliminariesMain results Conclusion

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AAA90The 90th workshop on General Algebra

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Introduction

In this work, we studied the relationship between BCK-algebras, partially ordered sets and binary block codes.

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AAA90The 90th workshop on General Algebra

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Preliminaries

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Main results

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Constructing BCK-algebras from block codes

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Partial ordering.

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Conclusion

We showed that we can assign to any ordered structures a block codes and conversely.

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Thank You…

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AAA90The 90th workshop on General Algebra