M. HEBOUB Lakhdar - Researcher Profile

Department

Mathematics Department

Research Interests

Specialized in Mathematics Department. Focused on academic and scientific development.

Contact Info

University of M'Sila, Algeria

Email : lakhdar.heboub@univ-msila.dz

On the Web:

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Recent Publications

2024-01-23

Minimal and maximal cyclic codes of length 2p

In this paper, we compute the maximal and minimal codes of length 2p over finite
fields Fq with p and q are distinct odd primes and f(p) = p − 1 is the multiplicative order of q
modulo 2p. We show that, every cyclic code is a direct sum of minimal cyclic codes.

Citation

M. HEBOUB Lakhdar, (2024-01-23), "Minimal and maximal cyclic codes of length 2p", [national] Journal of Discrete Mathematical Sciences & Cryptography , Taru Puplications

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2023-01-01

SOME LCD CYCLIC CODES OF LENGTH 2p OVER FINITE FIELDS

In this paper, we explicitly determine the LCD minimal and maximal cyclic codes of length 2p over finite fields Fq with p and q are distinct odd primes and φ(p)=p-1 is the multiplicative order of q modulo 2p. We show that, every LCD maximal cyclic code is a direct sum of LCD minimal cyclic codes.

Citation

M. HEBOUB Lakhdar, (2023-01-01), "SOME LCD CYCLIC CODES OF LENGTH 2p OVER FINITE FIELDS", [national] Discussiones Mathematicae General Algebra and Applications , Sciendo

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