CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP
For systematic group code over finite field the following result is well known: If [IjP] is the generator matrix then the generator matrix of its dual code is [􀀀PT jI]. A.A.Zain and B.Sundar Rajan (1997) have generalized that result for Finite Abelian Group. In their paper, it is shown...
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id-itb.:189172017-09-27T11:43:11ZCONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP RHEZA SETIAWAN (NIM : 10110018), MICHAEL Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/18917 For systematic group code over finite field the following result is well known: If [IjP] is the generator matrix then the generator matrix of its dual code is [􀀀PT jI]. A.A.Zain and B.Sundar Rajan (1997) have generalized that result for Finite Abelian Group. In their paper, it is shown that if endomorphism which characterized group code over Finite Abelian Group is given,then the endomorphism which characterized its dual code can be easily known. Furthermore, in that paper, there is a characterization about self dual code. On this research, the writer will give some explicit example about self dual code over Finite Abelian Group. Moreover, the writer will assess weight distribution from the self dual code over Finite Abelian <br /> <br /> <br /> <br /> <br /> Group produced. text |
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For systematic group code over finite field the following result is well known: If [IjP] is the generator matrix then the generator matrix of its dual code is [􀀀PT jI]. A.A.Zain and B.Sundar Rajan (1997) have generalized that result for Finite Abelian Group. In their paper, it is shown that if endomorphism which characterized group code over Finite Abelian Group is given,then the endomorphism which characterized its dual code can be easily known. Furthermore, in that paper, there is a characterization about self dual code. On this research, the writer will give some explicit example about self dual code over Finite Abelian Group. Moreover, the writer will assess weight distribution from the self dual code over Finite Abelian <br />
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Group produced. |
| format |
Final Project |
| author |
RHEZA SETIAWAN (NIM : 10110018), MICHAEL |
| spellingShingle |
RHEZA SETIAWAN (NIM : 10110018), MICHAEL CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP |
| author_facet |
RHEZA SETIAWAN (NIM : 10110018), MICHAEL |
| author_sort |
RHEZA SETIAWAN (NIM : 10110018), MICHAEL |
| title |
CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP |
| title_short |
CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP |
| title_full |
CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP |
| title_fullStr |
CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP |
| title_full_unstemmed |
CONSTRUCTION OF SELF DUAL CODE OVER FINITE ABELIAN GROUP |
| title_sort |
construction of self dual code over finite abelian group |
| url |
https://digilib.itb.ac.id/gdl/view/18917 |
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1821119676906733568 |