Error correcting codes from sub-exceeding functions
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2019-06-05 15:31
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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.
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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

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<dc:creator>Rabefihavanana, L.</dc:creator>
<dc:creator>Andriatahiny, H.</dc:creator>
<dc:creator>Rabeherimanana, T.</dc:creator>
<dc:date>2019-05-29</dc:date>
<dc:description xml:lang='en'><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></dc:description>
<dc:source>Computer Science Journal of Moldova 79 (1) 34-55</dc:source>
<dc:subject>Error correction code</dc:subject>
<dc:subject>encoding</dc:subject>
<dc:subject>decoding</dc:subject>
<dc:subject>subexceeding function</dc:subject>
<dc:title>Error correcting codes from sub-exceeding functions</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>