2 papers
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…
math.NT2025
Solutions of full equations related to diagonal equations
José Gustavo Coelho
Let be a prime number, be an even positive integer, and be a finite field with elements. In this paper, we compute the number of solutions with all…