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- Guo-Zhen Xiao, James L. Massey
- IEEE Trans. Information Theory
- 1988

It is shown that a Boolean combining function f(x) of n variables is mth-order correlation immune if and only if its Walsh transform F(w) vanishes for all w with Hamming weights between 1 and m, inclusive. This result is used to extend slightly Siegenthaler’s characterization of the algebraic normal form of correlation-immune combining functions.

- Hong Wang, Gang Qiu, Dengguo Feng, Guo-Zhen Xiao
- IEICE Transactions
- 2006

- Cheng Hua, Guo-Zhen Xiao
- IEEE Trans. Information Theory
- 1991

The probability of undetected error P,(E) for the primitive<lb>triple-error-correcting BCH codes of blocklength 2m 1 used solely for<lb>error detection on a binary symmetric channel with cross-over probabil-<lb>ity E 5 1/2 is examined. It is shown that for odd values of m , P,(E)<lb>increases monotonically with E. For even values of m, this is… (More)

- Guo-Zhen Xiao, Ba-Zhong Shen, Chuan-Kun Wu, Chi Song Wong
- Discrete Mathematics
- 1991

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