Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions

DAI Qingping; LI Chao

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Article Navigation > Chinese Journal of Electronics > 2009 > 18(3): 465-470

DAI Qingping and LI Chao, “Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions,” Chinese Journal of Electronics, vol. 18, no. 3, pp. 465-470, 2009,

Citation:

DAI Qingping and LI Chao, “Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions,” Chinese Journal of Electronics, vol. 18, no. 3, pp. 465-470, 2009,

DAI Qingping and LI Chao, “Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions,” Chinese Journal of Electronics, vol. 18, no. 3, pp. 465-470, 2009,

Citation:

DAI Qingping and LI Chao, “Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions,” Chinese Journal of Electronics, vol. 18, no. 3, pp. 465-470, 2009,

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Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions

Received Date: 2008-01-01
Rev Recd Date: 2008-12-01
Publish Date: 2009-08-25

Abstract

Abstract

The weight distributions of two classes of linear codes from all knownperfect nonlinear functions from F_p^m to itself are determined,based on the Pless power moments. These results suggest that two openproblems proposed by C. Carlet, C. Ding and J. Yuan in 2005 are solvedby a new kind of uniform approach.
- Linear codes,
- Perfect nonlinearfunctions,
- Quadratic forms,
- Weight distributions