@article{Rong2023, 
author = {Jianying Rong and Fengwei Li and Ting Li},
title = {Two classes of two-weight linear codes over finite fields},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15317-15331},
keywords = {exponential sum, cyclotomy, linear code, two-weight code},
url = {https://www.sciopen.com/article/10.3934/math.2023783},
doi = {10.3934/math.2023783},
abstract = {Let    p  ≡  1    (  mod    4  ) be a prime,    m a positive integer,              ϕ      (              p        m            )        2   the multiplicative order of    2 modulo        p    m  , and let    q  =      2                            ϕ          (                      p            m                    )                2            , where    ϕ  (  ⋅  ) is the Euler's function. In this paper, we construct two classes of linear codes over              F        q   and investigate their weight distributions. By calculating two classes of special exponential sums, the desired results are obtained.}
}