滿足k階PC(l)的密碼函數(shù)的新構(gòu)造
New Construction of Cryptographic Functions Satisfying PC(l) of Order k
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摘要: 該文基于線性分組碼和雙射函數(shù),給出了滿足k階PC(l)的均衡相關(guān)免疫布爾函數(shù)新的構(gòu)造方法。并據(jù)此進(jìn)一步給出滿足k階PC(l)的(n,m,t)彈性函數(shù)的一般構(gòu)造方法。此外,該文還揭示了這些函數(shù)的其它良好的密碼學(xué)性質(zhì),如較高的非線性度、良好的代數(shù)次數(shù)、良好的構(gòu)造計(jì)數(shù)等。
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關(guān)鍵詞:
- 彈性函數(shù); 擴(kuò)散性; 線性碼; 雙射函數(shù)
Abstract: In this paper, a new generalized construction method for correlation immune Boolean function satisfying PC(l) of order k is provided. The construction is based on the use of linear error-correcting codes together with bijective functions. Furthermore, some new construction methods for (n , m , t) resilient functions satisfying PC(l) of order k is also discussed. In addition, the authors also show that these functions have many other good cryptographic properties such as high nonlinearity, good algebraic degree and so on . -
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