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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. |
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Computer Science Journal of Moldova | ||||||
Numărul 1(79) / 2019 / ISSN 1561-4042 /ISSNe 2587-4330 | ||||||
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CZU: 004.416.2+519.1 | ||||||
Pag. 34-55 | ||||||
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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. |
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Cuvinte-cheie Error correction code, encoding, decoding, subexceeding function |
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