1 |
B. C. Berndt, R. J. Evans, and K. S. Williams, Gauss and Jacobi sums, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1998.
|
2 |
S. Fan and W. Han, Character sums over Galois rings and primitive polynomials over finite fields, Finite Fields Appl. 10 (2004), no. 1, 36-52. https://doi.org/10.1016/S1071-5797(03)00041-8
DOI
|
3 |
K. F. Ireland and M. I. Rosen, A Classical Introduction to Modern Number Theory, Graduate Texts in Mathematics, 84, Springer-Verlag, New York, 1982.
|
4 |
H. Ishibashi, The Terwilliger algebras of certain association schemes over the Galois rings of characteristic 4, Graphs Combin. 12 (1996), no. 1, 39-54. https://doi.org/10.1007/BF01858443
DOI
|
5 |
Y. H. Jang and S. P. Jun, The Gauss sums over Galois rings and its absolute values, Korean J. Math. 26 (2018), no. 3, 519-535. https://doi.org/10.11568/kjm.2018.26.3.519
DOI
|
6 |
J. Li, S. Zhu, and K. Feng, The Gauss sums and Jacobi sums over Galois ring GR( , r), Sci. China Math. 56 (2013), no. 7, 1457-1465. https://doi.org/10.1007/s11425-013-4629-6
DOI
|
7 |
R. Lidl and H. Niederreiter, Finite Fields, Addison-Wesley, London, 1997.
|
8 |
B. R. McDonald, Finite Rings with Identity, Marcel Dekker, Inc., New York, 1974.
|
9 |
Y. Oh and H. J. Oh, Gauss sums over Galois rings of characteristic 4, Kangweon-Kyungki Math. Jour. 9 (2001), no. 1, 1-7.
|
10 |
Z.-X. Wan, Lectures on Finite Fields and Galois Rings, World Scientific Publishing Co., Inc., River Edge, NJ, 2003. https://doi.org/10.1142/5350
|
11 |
J. Wang, On the Jacobi sums modulo , J. Number Theory 39 (1991), no. 1, 50-64. https://doi.org/10.1016/0022-314X(91)90033-8
DOI
|
12 |
J. Wang, On the Jacobi sums for finite commutative rings with identity, J. Number Theory 48 (1994), no. 3, 284-290. https://doi.org/10.1006/jnth.1994.1068
DOI
|
13 |
M. Yamada, Distance-regular digraphs of girth 4 over an extension ring of Z/4Z, Graphs Combin. 6 (1990), no. 4, 381-394. https://doi.org/10.1007/BF01787706
DOI
|