PANG Shanqi, WANG Jing, WANG Xunan, WANG Xiaoli. Application of Orthogonal Array and Walsh Transform in Resilient Function[J]. Chinese Journal of Electronics, 2018, 27(2): 281-286. doi: 10.1049/cje.2017.09.011
Citation: PANG Shanqi, WANG Jing, WANG Xunan, WANG Xiaoli. Application of Orthogonal Array and Walsh Transform in Resilient Function[J]. Chinese Journal of Electronics, 2018, 27(2): 281-286. doi: 10.1049/cje.2017.09.011

Application of Orthogonal Array and Walsh Transform in Resilient Function

doi: 10.1049/cje.2017.09.011
Funds:  This work is supported by the National Natural Science Foundation of China (No.11571094, No.11171093).
  • Received Date: 2017-03-14
  • Rev Recd Date: 2017-06-07
  • Publish Date: 2018-03-10
  • The relationship between Walsh transform of a Boolean function and the orthogonality of some columns of its support table is investigated. This result improves the characterization of the orthogonality of Orthogonal array (OA). Stinson and Massey gave two construction methods of linear resilient functions, one is to use linear code, the other is to utilize the large set of orthogonal arrays and right cosets. And another major contribution is to show the equivalence of two methods.
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