IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
The Covering Radius of the Reed-Muller Code R(3, 7) in R(5, 7) Is 20
Gui LIQichun WANGShi SHU
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2019 年 E102.A 巻 3 号 p. 594-597

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We propose a recursive algorithm to reduce the computational complexity of the r-order nonlinearity of n-variable Boolean functions. Applying the algorithm and using the sufficient and necessary condition put forward by [1] to cut the vast majority of useless search branches, we show that the covering radius of the Reed-Muller Code R(3, 7) in R(5, 7) is 20.

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© 2019 The Institute of Electronics, Information and Communication Engineers
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