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math.NT2026
The dynamics of a function family over quadratic extensions of finite fields
Fabio E. Brochero MartÃnez, Hugo R. Teixeira
Let be the finite field with elements, where is an odd prime and a positive integer. In this paper, we define the function $f(X)=(cX^q+aX)(X^{q}-X)^{…
math.NT2025
Low-weight codewords in cyclic codes
José G. Coelho, F. E. Brochero MartÃnez
We introduce a formula for determining the number of codewords of weight 2 in cyclic codes and provide results related to the count of codewords with weight 3. Additionally, we est…