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The International Conference of Cryptography and Coding is the biennial conference of the Institute of Mathematics and its Applications (IMA) on cryptography and coding theory. The conference series has been running for more than three decades and the 15th edition was held December 15–17, 2015, in inspirational and historical surroundings at St. Catherine’s College at the University of Oxford. We received 36 submissions from authors all over the world on a diverse set of topics both in cryptography and coding theory. The Program Committee selected 18 of the submissions for presentation at the conference. The review process was double-blind and rigorous: Each submission was reviewed independently by at least three reviewers in an individual review phase, and subsequently considered by the Program Committee in a discussion phase. Feedback from the reviews and discussions was given to the …