Browsing by Author "Supervisor: LEBED, Khawla"

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    MDS Codes with Complementary Duals over Finite Fields
    (University of M'sila, 2023-06-10) ABASSI, Nour El Houda; ALIANE, Khira Soulef; Supervisor: LEBED, Khawla
    A linear complementary dual (LCD) code is a linear code C whose dual code C⊥ satisfies C u C⊥ = {0}. LCD codes have been used in certain communication systems. This application of LCD codes renewed the interest in the construction of LCD codes having a large minimum distance. Maximum Distance Separable MDS codes are a class of error correcting codes that achieve the maximum possible distance between code-words. Maximum distance separable with complementary dual (LCD MDS) codes are very important in coding theory and practice. We focus in this work on LCD MDS codes constructed from generalized Reed-Solomon (GRS) codes over finite fields