The purpose of this paper is two-fold. First, we characterize the existe...
Let m be a positive integer and p a prime. In this paper, we investigate...
It is well-known that cyclic codes have efficient encoding and decoding
...
The r-th generalized Hamming metric and the b-symbol metric are two
diff...
Let n be a positive integer and p a prime. The power mapping x^p^n-3
ove...
In this paper, by the Hasse-Weil bound, we determine the necessary and
s...
In this paper, we apply two-to-one functions over 𝔽_2^n in two
generic c...
A new method is used to resolve a long-standing conjecture of Niho conce...
In this paper, we present infinite families of permutations of
F_2^2n wi...
Let p be a prime number. Irreducible cyclic codes of length p^2-1 and
di...
New generalized cyclotomic binary sequences of period p^2 are proposed i...