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—Introduced by Rothaus in 1976 as interesting combi-natorial objects, bent functions are maximally nonlinear Boolean functions with even numbers of variables whose Hamming distance to the set of all affine functions equals 2 n−1 ± 2 n 2 −1. Not only bent functions are applied in cryptography, such as applications in components of S-box, block cipher and… (More)

—Cyclic codes with two zeros and their dual codes as a practically and theoretically interesting class of linear codes, have been studied for many years. However, the weight distributions of cyclic codes are difficult to determine. From elliptic curves, this paper determines the weight distributions of dual codes of cyclic codes with two zeros for a few… (More)

Linear codes with few weights have applications in consumer electronics, communication, data storage system, secret sharing, authentication codes, association schemes, and strongly regular graphs. This paper first generalizes the method of constructing two-weight and three-weight linear codes of Ding et al. [6] and Zhou et al. [27] to general weakly regular… (More)

Bent functions, which are maximally nonlinear Boolean functions with even numbers of variables and whose Hamming distance to the set of all affine functions equals 2 n−1 ± 2 n 2 −1 , were introduced by Rothaus in 1976 when he considered problems in combinatorics. Bent functions have been extensively studied due to their applications in cryptography, such as… (More)

- Bo Cao, Yanfeng Qi, Guanyi Zhang, Duo Xu, Yang Zhan, Xavier Alvarez +6 others
- Oncotarget
- 2014

Upregulation of constitutively-active androgen receptor splice variants (AR-Vs) has been implicated in AR-driven tumor progression in castration-resistant prostate cancer. To date, functional studies of AR-Vs have been focused mainly on their ability to regulate gene expression independent of the full-length AR (AR-FL). Here, we showed that AR-V7 and… (More)

Linear codes with few weights have applications in consumer electronics, communication, data storage system, secret sharing, authentication codes, association schemes, and strongly regular graphs. This paper first generalizes the method of constructing two-weight and three-weight linear codes of Ding et al. [6] and Zhou et al. [21] to general weakly regular… (More)

Bent functions, which are maximally nonlinear Boolean functions with even numbers of variables and whose Hamming distance to the set of all affine functions equals 2 n−1 ± 2 n 2 −1 , were introduced by Rothaus in 1976 when he considered problems in combinatorics. Bent functions have been extensively studied due to their applications in cryptography, such as… (More)

- Yanfeng Qi, Xueqi Fu, Zhenggang Xiong, Haitao Zhang, Steven M. Hill, Brian G. Rowan +1 other
- PloS one
- 2012

A major challenge in breast cancer therapy is the lack of an effective therapeutic option for a particularly aggressive subtype of breast cancer, triple-negative breast cancer. Here we provide the first preclinical evidence that a second-generation selenium compound, methylseleninic acid, significantly enhances the anticancer efficacy of paclitaxel in… (More)

—In this paper, we first discuss the bentness of a large class of quadratic Boolean functions in polynomial form f (x) = ∑ n 2 −1 i=1 T r n 1 (cix 1+2 i) + T r n/2 1 (c n/2 x 1+2 n/2), where ci ∈ GF (2 n) for 1 ≤ i ≤ n 2 − 1 and c n/2 ∈ GF (2 n/2). The bentness of these functions can be connected with linearized permutation polynomials. Hence, methods for… (More)