Abstract
The Projective Reed-Muller codes (PRM codes) were introduced by G. Lachaud [4] in 1988. A change in the choice of the set of representatives of the projective space gives two PRM codes that are not equivalent by permutation. In this paper, we present some criteria in the choice of the set of representatives to construct cyclic or quasi-cyclic PRM codes.
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References
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© 2001 Springer-Verlag Berlin Heidelberg
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Berger, T.P., de Maximy, L. (2001). Cyclic Projective Reed-Muller Codes. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_8
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DOI: https://doi.org/10.1007/3-540-45624-4_8
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