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.

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.

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.

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.

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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