New quasi-cyclic codes from finite upper half-planes
by Eduardo Brandani Da Silva; Emerson Vitor Castelani; Maycow Gonçalves Carneiro
International Journal of Information and Coding Theory (IJICOT), Vol. 5, No. 3/4, 2020

Abstract: Finite upper half-planes can be seen as a natural environment to generate error-correcting codes. Current work analyses some properties of these spaces to generate new classes of quasi-cyclic error-correcting codes. These codes may be generated using the norm or the distance in these spaces. Using properties of the sets, we also propose a decoding algorithm.

Online publication date: Wed, 28-Oct-2020

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