Error correcting codes from sub-exceeding functions
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
602 1
Ultima descărcare din IBN:
2019-06-05 15:31
Căutarea după subiecte
similare conform CZU
004.416.2+519.1 (1)
Programe. Software (295)
Analiză combinatorică. Teoria grafurilor (114)
SM ISO690:2012
RABEFIHAVANANA, L., ANDRIATAHINY, H., RABEHERIMANANA, T.. Error correcting codes from sub-exceeding functions. In: Computer Science Journal of Moldova, 2019, nr. 1(79), pp. 34-55. ISSN 1561-4042.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Computer Science Journal of Moldova
Numărul 1(79) / 2019 / ISSN 1561-4042 /ISSNe 2587-4330

Error correcting codes from sub-exceeding functions

CZU: 004.416.2+519.1

Pag. 34-55

Rabefihavanana L., Andriatahiny H., Rabeherimanana T.
 
University of Antananarivo
 
 
Disponibil în IBN: 30 mai 2019


Rezumat

In this paper, we present linear systematic error-correcting codes Lk and L+ k which are the results of our research on the sub-exceeding functions. Given an integer k such that k ≥ 3, these two codes are respectively [2k, k] and [3k, k] linear codes. The minimum distance of L3 is 3 and for k ≥ 4 the minimum distance of Lk is 4. The code L+ k , the minimum distances are respectively 5 and 6 for k = 4 and k ≥ 5. By calculating the complexity of the algorithms, our codes have fast and efficient decoding. Then, for a short and medium distance data transmission (wifi network, bluetooth, cable, ...), we see that the codes mentioned above present many advantages.

Cuvinte-cheie
Error correction code, encoding, decoding, subexceeding function

Cerif XML Export

<?xml version='1.0' encoding='utf-8'?>
<CERIF xmlns='urn:xmlns:org:eurocris:cerif-1.5-1' xsi:schemaLocation='urn:xmlns:org:eurocris:cerif-1.5-1 http://www.eurocris.org/Uploads/Web%20pages/CERIF-1.5/CERIF_1.5_1.xsd' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' release='1.5' date='2012-10-07' sourceDatabase='Output Profile'>
<cfResPubl>
<cfResPublId>ibn-ResPubl-78368</cfResPublId>
<cfResPublDate>2019-05-29</cfResPublDate>
<cfVol>79</cfVol>
<cfIssue>1</cfIssue>
<cfStartPage>34</cfStartPage>
<cfISSN>1561-4042</cfISSN>
<cfURI>https://ibn.idsi.md/ro/vizualizare_articol/78368</cfURI>
<cfTitle cfLangCode='EN' cfTrans='o'>Error correcting codes from sub-exceeding functions</cfTitle>
<cfKeyw cfLangCode='EN' cfTrans='o'>Error correction code; encoding; decoding; subexceeding function</cfKeyw>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>In this paper, we present linear systematic error-correcting codes Lk and L+ k which are the results of our research on the sub-exceeding functions. Given an integer k such that k &ge; 3, these two codes are respectively [2k, k] and [3k, k] linear codes. The minimum distance of L3 is 3 and for k &ge; 4 the minimum distance of Lk is 4. The code L+ k , the minimum distances are respectively 5 and 6 for k = 4 and k &ge; 5. By calculating the complexity of the algorithms, our codes have fast and efficient decoding. Then, for a short and medium distance data transmission (wifi network, bluetooth, cable, ...), we see that the codes mentioned above present many advantages.</p></cfAbstr>
<cfResPubl_Class>
<cfClassId>eda2d9e9-34c5-11e1-b86c-0800200c9a66</cfClassId>
<cfClassSchemeId>759af938-34ae-11e1-b86c-0800200c9a66</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfResPubl_Class>
<cfClassId>e601872f-4b7e-4d88-929f-7df027b226c9</cfClassId>
<cfClassSchemeId>40e90e2f-446d-460a-98e5-5dce57550c48</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfPers_ResPubl>
<cfPersId>ibn-person-63389</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-63390</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-63391</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
</cfPers_ResPubl>
</cfResPubl>
<cfPers>
<cfPersId>ibn-Pers-63389</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-63389-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
<cfFamilyNames>Rabefihavanana</cfFamilyNames>
<cfFirstNames>L.</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-63390</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-63390-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
<cfFamilyNames>Andriatahiny</cfFamilyNames>
<cfFirstNames>H.</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-63391</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-63391-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2019-05-29T24:00:00</cfStartDate>
<cfFamilyNames>Rabeherimanana</cfFamilyNames>
<cfFirstNames>T.</cfFirstNames>
</cfPersName_Pers>
</cfPers>
</CERIF>