The decay $$D \rightarrow K^-\pi ^+$$ D → K - π + is studied in a sample of quantum-correlated $$D{\bar{D}}$$ D D ¯ pairs, based on a data set corresponding to an integrated luminosity of 2.93 fb$$^{-1}$$ - 1 collected at the $$\psi (3770)$$ ψ ( 3770 ) resonance by the BESIII experiment. The asymmetry between $$C\!P$$ C P -odd and $$C\!P$$ C P -even eigenstate decays into $$K^-\pi ^+$$ K - π + is determined to be $${{\mathcal {A}}}_{K\pi } = 0.132 \pm 0.011 \pm 0.007$$ A K π = 0.132 ± 0.011 ± 0.007 , where the first uncertainty is statistical and the second is systematic. This measurement is an update of an earlier study exploiting additional tagging modes, including several decay modes involving a $$K^0_L$$ K L 0 meson. The branching fractions of the $$K^0_L$$ K L 0 modes are determined as input to the analysis in a manner that is independent of any strong phase uncertainty. Using the predominantly $$C\!P$$ C P -even tag $$D\rightarrow \pi ^+\pi ^-\pi ^0$$ D → π + π - π 0 and the ensemble of $$C\!P$$ C P -odd eigenstate tags, the observable $${{\mathcal {A}}}_{K\pi }^{\pi \pi \pi ^0}$$ A K π π π π 0 is measured to be $$0.130 \pm 0.012 \pm 0.008$$ 0.130 ± 0.012 ± 0.008 . The two asymmetries are sensitive to $$r_D^{K\pi }\cos \delta _D^{K\pi }$$ r D K π cos δ D K π , where $$r_D^{K\pi }$$ r D K π and $$\delta _D^{K\pi }$$ δ D K π are the ratio of amplitudes and phase difference, respectively, between the doubly Cabibbo-suppressed and Cabibbo-favoured decays. In addition, events containing $$D \rightarrow K^-\pi ^+$$ D → K - π + tagged by $$D \rightarrow K^0_{S,L} \pi ^+\pi ^-$$ D → K S , L 0 π + π - are studied in bins of phase space of the three-body decays. This analysis has sensitivity to both $$r_D^{K\pi }\cos \delta _D^{K\pi }$$ r D K π cos δ D K π and $$r_D^{K\pi }\sin \delta _D^{K\pi }$$ r D K π sin δ D K π . A fit to $${{\mathcal {A}}}_{K\pi }$$ A K π , $${{\mathcal {A}}}_{K\pi }^{\pi \pi \pi ^0}$$ A K π π π π 0 and the phase-space distribution of the $$D \rightarrow K^0_{S,L} \pi ^+\pi ^-$$ D → K S , L 0 π + π - tags yields $$\delta _D^{K\pi }= \left( 187.6 {^{+8.9}_{-9.7}}{^{+5.4}_{-6.4}} \right) ^{\circ }$$ δ D K π = 187.6 - 9.7 + 8.9 - 6.4 + 5.4 ∘ , where external constraints are applied for $$r_D^{K\pi }$$ r D K π and other relevant parameters. This is the most precise measurement of $$\delta _D^{K\pi }$$ δ D K π in quantum-correlated $$D{\bar{D}}$$ D D ¯ decays.

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Digital image files or images are sometimes a valuable asset. Digital images that are private and confidential are very vulnerable to interception by other parties, especially if the image is distributed via the internet. To increase the security of digital images so that their confidentiality can be maintained, a special technique is needed to protect digital image messages, namely with cryptographic techniques. This study aims to determine the performance of the SIMON algorithm for digital image security. SIMON algorithm performance results are compared with the vigenere cipher algorithm in terms of time and image file size produced. In this study used base64 encode for the encryption process and base64 decode for the decryption process. The performance of the SIMON algorithm in securing digital images results in an average encryption time of 969 ms and an average decryption time of 1537 ms. The SIMON algorithm requires a longer time for the encryption and decryption process when compared to the Vigenere algorithm. The cipher image encrypted by the SIMON algorithm has a size larger than the original file by 36%. However, when compared to the cipher image encrypted by the Vigenere algorithm, there is no significant difference. The UACI value obtained from the SIMON algorithm cipher image obtained an average yield of 18.94%. Based on the theory of differential analysis, it can be said that this value is still vulnerable to differential attack. This is based on the UACI value which has not met the minimum threshold value of 33%.