M. Elia

activity

20102021

most citedOn the Decoding Complexity of Cyclic Codes Up to the BCH Bound

23 citations · 48 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

Continued Fractions, Quadratic Fields, and Factoring: Some Computational Aspects

Michele Elia

Legendre discovered that the continued fraction expansion of $N$ having odd period leads directly to an explicit representation of $N$ as the sum of two squares. In this vein…

math.NT2021

On the Fiber Characters of $F_{p^{m}}^{*}$ and related Polynomial Algebras

Michele Elia

Let $p$ be a prime, $m$ be a positive integer ( $m \geq 1$ , and $m \geq 2$ if $p = 2$ ), and $χ_{n}$ be a multiplicative complex character on $F_{p^{m}}^{*}$ with order $n ∣ (p^{m} - 1)$ …

Continued Fractions, Quadratic Fields, and Factoring: Some Computational Aspects

On the Fiber Characters of Fpm∗​ and related Polynomial Algebras

On the Fiber Characters of $F_{p^{m}}^{*}$ and related Polynomial Algebras