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Published in 2023 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972723000382
Abstract: We study plane curves over finite fields whose tangent lines at smooth $\mathbb {F}_q$ -points together cover all the points of $\mathbb {P}^2(\mathbb {F}_q)$ .
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Keywords:
jats inline;
plane curves;
finite fields;
inline formula ... See more keywords
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Published in 2017 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2017.2750660
Abstract: In this letter, a new framework for the construction of low density parity check codes is exposed. Parameters of the new codes are estimated, performance simulations are reported and compared with some classical constructions.
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Keywords:
finite fields;
elliptic curves;
ldpcs elliptic;
constructions ldpcs ... See more keywords