1.

L. Carlitz, Kloosterman sums and finite field extensions, *Acta Arithmetica*, Vol. XV,No. 2 (1969) pp. 179-193.

2.

L. Carlitz and S. Uchiyama, Bounds for exponential sums, *Duke Math. Journal*, Vol. 24 (1957) pp. 37-42.

3.

P. Charpin, Personal Communication, 1998.

4.

P. Charpin and V. A. Zinoviev, On coset weight distributions of the 3-error-correcting BCH codes, *SIAM J. of Discrete Math.*, Vol. 10,No. 1 (February 1997) pp. 128-145.

5.

J. F. Dillon, Elementary Hadamard difference sets, Proc. Sixth SECCGTC (F. Hoffman et al., eds.), Utilitas Math., Winnipeg (1975).

6.

T. A Dowling and R. McEliece, Cross-correlations of Reverse Maximal-Length Shift Register Sequences, *Jet Propulsion Lab., Pasadena, California, Space Programs Summary*, 37–53, Vol. III, pp. 192-193.

7.

J. M. Goethals, Two dual families of nonlinear binary codes, *Electron. Lett.*, Vol. 10,No. 23 (1974) pp. 471-472.

8.

R. Hammons, P. V. Kumar, N. J. A. Sloane, R. Calderbank and P. Solé, The *Z*
_{4}-Linearity of Kerdock, Preparata, Goethals, and Related Codes, *IEEE Trans. on Inform. Theory*, Vol. 40 (1994) pp. 301-319.

9.

T. Helleseth and P. V. Kumar, The Algebraic Decoding of the *Z*
_{4}-Linear Goethals Code, *IEEE Trans. on Inform. Theory*, Vol. 41,No. 6 (November 1995) pp. 2040-2048.

10.

T. Helleseth and V. Zinoviev, On coset weight distributions of the *Z*
_{4}-linear Goethals Codes, *IEEE Trans. on Inform. Theory* (submitted).

11.

G. Lachaud and J. Wolfmann, The Weights of the Orthogonals of the Extended Quadratic Binary Goppa Codes, *IEEE Trans. on Inform. Theory*, Vol. 36,No. 3 (May 1990) pp. 686-692.

12.

R. Lidl and H. Niederreiter, *“Finite Fields,” Encyclopedia of Mathematics and Its Applications*, Vol. 20, Addison Wesley, Reading, MA (1983).

13.

F. J. Macwilliams and N. J. A. Sloane, *The Theory of Error Correcting Codes*, North-Holland (1986).