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hello hello alright alright so thank you very much for the introduction so this session is on cryptographic watermarking so lets begin by discussing what watermarking actually is so watermarking generally refers to a way of embedding a mark into some digital content like photos or images and this is often used for people to identify who the owner of the content is and also to prevent unauthorized distribution of this content so you may have seen a version of a photo or an image that has the word sample embedded on top of the photo so this is an example of a digital watermarking so if you look at this photo and if you really like this photo then you can pay the photographer and the photographer vide you with the original image that is not watermark so for these type of scenarios our watermarking scheme is useful only if it satisfies the following two properties well first it must be the case that even after embedded mark into some photo or an image most of its original content should s