The weight distribution of a class of two-weight linear codes derived from Kloosterman sums
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Anderson, R. J., Ding, C., Helleseth, T., Kløve, T.: How to build robust shared control systems. Des. Codes Cryptography 15(2), 111–124 (1998)
Calderbank, A., Goethals, J.: Three-weight codes and association schemes. Philips J. Res. 39(4-5), 143–152 (1984)
Carlet, C., Ding, C., Yuan, J.: Linear codes from perfect nonlinear mappings and their secret sharing schemes. IEEE Trans. Inf. Theory 51(6), 2089–2102 (2005)
Ding, C., Helleseth, T., Kløve, T., Wang, X.: A generic construction of cartesian authentication codes. IEEE Trans. Inf. Theory 53(6), 2229–2235 (2007)
Ding, C., Wang, X.: A coding theory construction of new systematic authentication codes. Theor. Comput. Sci. 330(1), 81–99 (2005)
Ding, K., Ding, C.: Binary linear codes with three weights. IEEE Commun. Lett. 18(11), 1879–1882 (2014)
Ding, K., Ding, C.: A class of two-weight and three-weight codes and their applications in secret sharing. IEEE Trans. Inf. Theory 61(11), 5835–5842 (2015)
Grassl, M.: Bounds on the minimum distance of linear codes. Online available at http://www.codetables.de , Accessed on pp. 08–20 (2008)
Helleseth, T., Kholosha, A.: Monomial and quadratic bent functions over the finite fields of odd characteristic. IEEE Trans. Inf. Theory 52(5), 2018–2032 (2006)
Heng, Z., Yue, Q.: A class of binary linear codes with at most three weights. IEEE Commun. Lett. 19(9), 1488–1491 (2015)
Huffman, W. C., Pless, V.: Fundamentals of error-correcting codes. Cambridge University Press (2003)
Qi, Y., Tang, C., Huang, D.: Binary linear codes with few weights. IEEE Commun. Lett. 20(2), 208–211 (2016)