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Multi-output rotation symmetric Boolean functions with good properties play an important role in the design of cryptographic systems. Based on the action of cyclic group on the n-dimensional vector space over binary field, the sufficient conditions for the existence of multi-output k-rotation symmetric balanced and 1-resilient Boolean functions are studied by using the method of orbital partition and constructing orthogonal tables respectively. When n/k = p' (p is prime,r ∈ Z+),the range of values given for m when a balanced or 1-resilient multi-output rotational symmetric Boolean function exists. The concrete construction methods are provided and verified by Matlab. [ABSTRACT FROM AUTHOR]

Linear codes with a few weights have nice applications in communication, secret sharing schemes, authentication codes, association schemes, block designs and so on. Projective binary linear codes are one of the most important subclasses of linear codes for practical applications. The objective of this paper is to construct projective binary linear codes with some special Boolean functions. Four families of binary linear codes with three or four weights are derived and the parameters of their duals are also determined. It turns out that the duals of these codes are optimal or almost optimal with respect to the sphere-packing bound. As applications, the codes presented in this paper can be used to construct association schemes and secret sharing schemes with interesting access structures. [ABSTRACT FROM AUTHOR]

The subset sum problem is an important theoretical problem with many applications, such as in coding theory, cryptography, graph theory and other fields. One of the many aspects of this problem is to answer the solvability of the k -subset sum problem. It has been proven to be NP-hard in general. However, if the evaluation set has some special algebraic structure, it is possible to obtain some good conclusions. Zhu, Wan and Keti proposed partial results of this problem over two special kinds of evaluation sets. We generalize their conclusions in this paper, and propose asymptotical results of the solvability of the k -subset sum problem by using estimates of additive character sums over the evaluation set, together with the Brun sieve and the new sieve proposed by Li and Wan. We also apply the former two examples as application of our results. [ABSTRACT FROM AUTHOR]

Background/Aims: Cervical carcinoma continues to be one of the most dangerous cancer types, and more effective therapies are urgently needed for cervical carcinoma treatment. Mitochondria-associated Mitofusin 2 has influence on the progression of many cancers. In the current study, we aimed to focus on the cell apoptotic effects of Mfn2 on cervical carcinoma HeLa cells in vitro and to try to explore its underlying mechanisms. Moreover, we investigated the anticancer potential of Mfn2 in a cervical carcinoma mouse model. Methods: Adenovirus-Mfn2 (Adv-Mfn2) was used to deliver mfn2 into HeLa cells and tumour tissues in a nude mouse model. CCK-8, TUNEL assay, Western blot and immunohistochemical staining were performed to detect the effects of Mfn2. The mRNA level of Mfn2 was determined by quantitative realtime PCR (qRT-PCR) analysis. The effect of Mfn2 on cell apoptosis was investigated by flow cytometry. Flow cytometry was used to assess the change of the mitochondrial membrane potential of the cells treated with JC-1 assay. Mfn2, Bax, Bcl-2, cytochrome c, cleaved caspase-3, and cleaved caspase-9 protein levels were analysed by Western blot. Results: Data from CCK-8 and flow cytometry showed that Mfn2 could inhibit proliferation and induce apoptosis in a dose- and time-dependent manner in HeLa cells. JC-1 test results revealed that the membrane potential of the mitochondrial decreased in a dose-dependent manner in HeLa cells after Adv-Mfn2 treatment. The data from Western blot confirmed that higher cytosolic amounts of cytochrome c with increasing doses of Adv-Mfn2 signified the onset of the intrinsic apoptotic pathway. Levels of cleaved caspase-3 and cleaved caspase-9 increased in HeLa cells with Adv-Mfn2 treatment. We also found significant increases in the Bax level and a decreased Bcl-2 level with Adv-Mfn2 treatment. We further confirmed that Mfn2 could significantly inhibit the growth of the cervical tumour in the xenografted cervical carcinoma mouse model. After a 9-day-treatment, the tumours of the Adv-mfn2 group were inhibited and induced into apoptosis. The results demonstrated that the overexpression of Mfn2 could not only increase the levels of Bax and Bid in cervical tumour cells but also decrease the phosphorylation of Bad and the expression of Bcl-2. Conclusion: These studies suggested that the overexpression of Mfn2 could trigger cervical tumour apoptosis in vitro and in vivo, which was related to the mitochondrial pathway, and may provide a new treatment target for cervical carcinoma. [ABSTRACT FROM AUTHOR]

In this paper, we derive an explicit combinatorial formula for the number of k -subset sums of quadratic residues over finite fields. [ABSTRACT FROM AUTHOR]

Abstract: The axiom definition of distance measure between intuitionistic fuzzy sets (IFSs) is introduced. Some distance measures are proposed and corresponding proofs are given. The relations between similarity measure and distance measure of IFSs are analyzed. Finally, the distance measures of IFSs are applied to pattern recognitions. [Copyright &y& Elsevier]

The binary Hamming codes with parameters $[{2^{m}-1, 2^{m}-1-m, 3}]$ are perfect. Their extended codes have parameters $[{2^{m}, 2^{m}-1-m, 4}]$ and are distance-optimal. The first objective of this paper is to construct a class of binary linear codes with parameters $[{2^{m+s}+2^{s}-2^{m},2^{m+s}+2^{s}-2^{m}-2m-2,4}]$ , which have better information rates than the class of extended binary Hamming codes, and are also distance-optimal. The second objective is to construct a class of distance-optimal binary codes with parameters $[{2^{m}+2, 2^{m}-2m, 6}]$. Both classes of binary linear codes have new parameters. [ABSTRACT FROM AUTHOR]

Highlights • High RASD1 transcript levels at diagnosis predicted poor survival in adult B-cell acute lymphoblastic leukemia patients. • RASD1 promoted cell proliferation, cell cycle progression and chemotherapy resistance and inhibited cell apoptosis in B-ALL. • RASD1 might serve a novel prognostic biomarker for adult B-ALL and as a potential therapeutic target in adult B-ALL patients. Abstract B-cell acute lymphoblastic leukemia (B-ALL) in adults remains a highly challenging disease. Identifying new prognostic biomarkers is necessary to help select the best therapeutic schedules and to improve prognosis. We performed bioinformatics analyses of transcriptomic data to identify aberrantly-expressed mRNA transcripts in B-ALL and focused on RASD1 (Ras-related dexamethasone-induced 1). To date, no information is available on the prognostic value of RASD1 in B-ALL. Fifty-three consecutive adults with de novo B-ALL were enrolled in this study. Our data suggested that RASD1 was abnormally overexpressed in B-ALL. High RASD1 transcript levels at diagnosis were associated with lower survival probabilities (44% [20%–61%] vs. 79% [60%–97%]; P = 0.037) and were also an independent prognostic factor in adult B-ALL (HR = 4.9 [1.5–15.9]; P = 0.008). Functional in vitro analyses and bioinformatic analyses indicated that RASD1 promoted cell proliferation, cell cycle progression and chemotherapy resistance and inhibited cell apoptosis. These data demonstrated that RASD1 might serve as a novel prognostic biomarker for adult B-ALL and as a potential therapeutic target in adult B-ALL patients. [ABSTRACT FROM AUTHOR]

Let F q be a finite field with q = p e elements, where p is a prime and e ≥ 1 is an integer. Let ℓ , n be two positive integers such that ℓ < n . Fix a monic polynomial u ( x ) = x n + u n − 1 x n − 1 + ⋯ + u ℓ + 1 x ℓ + 1 ∈ F q [ x ] of degree n and consider all degree n monic polynomials of the form f ( x ) = u ( x ) + v ℓ ( x ) , v ℓ ( x ) = a ℓ x ℓ + a ℓ − 1 x ℓ − 1 + ⋯ + a 1 x + a 0 ∈ F q [ x ] . For any non-negative integer k ≤ min { n , q } , let N k ( u ( x ) , ℓ ) denote the total number of v ℓ ( x ) such that u ( x ) + v ℓ ( x ) has exactly k distinct roots in F q , i.e. N k ( u ( x ) , ℓ ) = | { f ( x ) = u ( x ) + v l ( x ) | f ( x ) has exactly k distinct zeros in F q } | . In this paper, we obtain explicit combinatorial formulae for N k ( u ( x ) , ℓ ) when n − ℓ is small, namely when n − ℓ = 1 , 2 , 3 . As an application, we define two kinds of Wenger graphs called jumped Wenger graphs and obtain their explicit spectrum. [ABSTRACT FROM AUTHOR]

The Global Avalanche Characteristics (including the sum-of-squares indicator and the absolute indicator) measure the overall avalanche characteristics of a cryptographic Boolean function. Son et al. (1998) gave the lower bound on the sum-of-squares indicator for a balanced Boolean function. In this paper, we give a sufficient and necessary condition on a balanced Boolean function reaching the lower bound on the sum-of-squares indicator. We also analyze whether these balanced Boolean functions exist, and if they reach the lower bounds on the sum-of-squares indicator or not. Our result implies that there does not exist a balanced Boolean function with n-variable for odd n(n ≥ 5). We conclude that there does not exist a m(m ≥ 1)-resilient function reaching the lower bound on the sum-of-squares indicator with n-variable for n ≥ 7. [ABSTRACT FROM AUTHOR]

Objectives: The prognostic role of WT1 in acute lymphoblastic leukemia (ALL) is still controversial. No study has focused on the prognostic role of WT1 expression in adult B-ALL patients receiving chemotherapy only. Methods: Using TaqMan-based real time quantitative PCR (RQ-PCR), we detected the WT1 transcript levels of 162 de-novo adult B-ALL patients at the time of diagnosis and analysed their clinical features. Results: WT1 overexpression was defined as a transcript level higher than 0.50%, which is the upper limit in normal bone marrow. WT1 overexpression was identified in 66.0% of the patients and was an independent positive prognostic factor for CIR, RFS and OS in patients who received chemotherapy only (CIR: HR = 0.236 [95% confidence interval 0.094–0.592]; P = 0.002; RFS: HR = 0.223 [0.092–0.543]; P = 0.001; OS: HR = 0.409 [0.214–0.783]; P = 0.007) and in patients who did not have BCR-ABL fusion or KMT2A rearrangements (CIR: HR = 0.431 [0.201–0.921]; P = 0.030; RFS: HR = 0.449 [0.224–0.899]; P = 0.024; OS: HR = 0.521 [0.278–0.977]; P = 0.042). However, WT1 overexpression had no prognostic value in patients who received allogenic hematopoietic stem cell transplantation (allo-HSCT). Furthermore, allo-HSCT could improve the prognosis of patients with low WT1 expression. Conclusion: Therefore, testing for WT1 expression at the time of diagnosis may predict outcomes in adult B-ALL patients who receive only chemotherapy and who do not have the BCR-ABL fusion gene or KMT2A rearrangements. Allo-HSCT may improve the prognosis of patients with low WT1 transcript levels. [ABSTRACT FROM AUTHOR]

The mutational spectrum and prognostic factors of NRAS-mutated (NRASmut) acute myeloid leukemia (AML) are largely unknown. We performed next-generation sequencing (NGS) in 1,149 cases of de novo AML and discovered 152 NRASmut AML (13%). Of the 152 NRASmut AML, 89% had at least one companion mutated gene. DNA methylation-related genes confer up to 62% incidence. TET2 had the highest mutation frequency (51%), followed by ASXL1 (17%), NPM1 (14%), CEBPA (13%), DNMT3A (13%), FLT3-ITD (11%), KIT (11%), IDH2 (9%), RUNX1 (8%), U2AF1 (7%) and SF3B1(5%). Multivariate analysis suggested that age ≥ 60 years and mutations in U2AF1 were independent factors related to failure to achieve complete remission after induction therapy. Age ≥ 60 years, non-M3 types and U2AF1 mutations were independent prognostic factors for poor overall survival. Age ≥ 60 years, non-M3 types and higher risk group were independent prognostic factors for poor event-free survival (EFS) while allogenic hematopoietic stem cell transplantation was an independent prognostic factor for good EFS. Our study provided new insights into the mutational spectrum and prognostic factors of NRASmut AML. [ABSTRACT FROM AUTHOR]

Chemokines are critical players in the local immune responses to tumors. CCL17 (thymus and activation-regulated chemokine, TARC) and CCL22 (macrophage-derived chemokine, MDC) can attract CCR4-bearing cells involving the immune landscape of cancer. However, their direct roles and functional states in tumors remain largely unclear. We analyzed the lymphoma-related scRNA-seq and bulk RNA-seq datasets and identified the CCL17/CCL22-CCR4 axis as the unique participant of the tumor microenvironment. Then we edited the A20 lymphoma cell line to express CCL17 and CCL22 and assessed their function using three mouse models (Balb/C mouse, Nude mouse, and NSG mouse). In addition, we retrospectively checked the relationship between the CCL17/CCL22-CCR4 axis and the survival rates of cancer patients. The active CCL17/CCL22-CCR4 axis is a distinctive feature of the Hodgkin lymphoma microenvironment. CCR4 is widely expressed in immune cells but highly exists on the surface of NK, NKT, and Treg cells. The tumor model of Balb/C mice showed that CCL17 acts as an anti-tumor chemokine mediated by activated T cell response. In addition, the tumor model of Nude mice showed that CCL17 recruits NK cells for inhibiting lymphoma growth and enhances the NK-cDC1 interaction for resisting IL4i1-mediated immunosuppression. Interestingly, CCL17-mediated antitumor immune responses depend on lymphoid lineages but not mainly myeloid ones. Furthermore, we found CCL17/CCL22-CCR4 axis cannot be regarded as biomarkers of poor prognosis in most cancer types from the TCGA database. We provided direct evidence of antitumor functions of CCL17 mediated by the recruitment of conventional T cells, NKT cells, and NK cells. Clinical survival outcomes of target gene (CCL17 , CCL22 , and CCR4) expression also identified that CCL17/CCL22-CCR4 axis is not a marker of poor prognosis. [ABSTRACT FROM AUTHOR]

Background: Long non-coding RNAs (lncRNAs) are biomarkers participating in multiple disease development including acute myeloid leukemia (AML). Here, we investigated molecular mechanism of X Inactive-Specific Transcript (XIST) in regulating cellular viability, apoptosis and drug resistance in AML. Methods: XIST, miR-29a and myelocytomatosis oncogene (MYC) expression in AML bone marrow cells collected from 62 patients was evaluated by RT-qPCR and Western blot analysis. Besides, the relationship among XIST, miR-29a and MYC was analyzed by dual luciferase reporter assay, RIP, and RNA pull down assays. AML KG-1 cells were treated with anti-tumor drug Adriamycin. The role of XIST/miR-29a/MYC in cellular viability, apoptosis and drug resistance in AML was accessed via gain- and loss-of-function approaches. At last, we evaluated role of XIST/miR-29a/MYC on tumorigenesis in vivo. Results: XIST and MYC were up-regulated, and miR-29a was down-regulated in AML bone marrow cells. Silencing XIST inhibited cellular activity and drug resistance but promoted cellular apoptosis of KG-1 cells by down-regulating MYC. XIST inhibited miR-29a expression to up-regulate MYC. Moreover, silencing XIST inhibited tumorigenesis of AML cells in vivo. Conclusions: Overall, down-regulation of XIST decreased MYC expression through releasing the inhibition on miR-29a, thereby reducing drug resistance, inhibiting viability and promoting apoptosis of AML cells. [ABSTRACT FROM AUTHOR]