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MATHEMATICAL TRIPOS PART II (2004–05) Coding and Cryptography - ...
https://www.dpmms.cam.ac.uk/study/II/Coding/2004-2005/coding_and_crypt-05-2.pdf21 May 2005: 24) Show that the repetition code of length n is perfect if and only if n is odd. -
MATHEMATICAL TRIPOS PART II (2005–06) Graph Theory - Example ...
https://www.dpmms.cam.ac.uk/study/II/Graphs/2005-2006/examples-GT-05-3.pdf10 Nov 2005: 24) Show that an Eulerian plane map is 2-colourable. 25) Let S be the projective plane. -
Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs W. …
https://www.dpmms.cam.ac.uk/~wtg10/belapaper.pdf14 Mar 2005: Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs. W. T. Gowers. Abstract. The main results of this paper are regularity and counting lemmas for 3-. uniform hypergraphs. A combination of these two results gives a new proof of a -
Hypergraph Regularity and the multidimensional Szemerédi Theorem. W. …
https://www.dpmms.cam.ac.uk/~wtg10/hypersimple4.pdf12 Apr 2005: Hypergraph Regularity and the multidimensional Szemerédi Theorem. W. T. Gowers. Abstract. We prove analogues for hypergraphs of Szemerédi’s regularity lemma and the. associated counting lemma for graphs. As an application, we give the first -
MATHEMATICAL TRIPOS PART II (2005–06) Coding and Cryptography - ...
https://www.dpmms.cam.ac.uk/study/II/Coding/2005-2006/coding_and_crypt-06-4.pdf24 Nov 2005: T.A.Fisher@dpmms.cam.ac.uk - 1 - 24 November 2005. 54) Alice and Bob are issued with RSA public keys (N, e1) and (N, e2), and correspondingprivate keys (N, d1) ... Show that the sequence in (ii) has period 2d 1. T.A.Fisher@dpmms.cam.ac.uk - 2 - 24
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