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## 3.3. Searching for start and stop codons

We have written an algorithm for finding genes. But you remember that we arestill to write the two functions for finding the next stop codonand the next start codon. Let's see how we can do that. We are looking for triplets. We use the term triplets as long as wehave no proof that they are codons. You can have triplets outside genes. Within genes, they are called codons. In general, we arelooking for triplets. If you have a sequence like thisone and you are looking for occurrences of this triplet, whatyou have to do is: position your triplet at the beginning of the sequence. Compare the first letter. If it is not ...
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## 1.4. Parity Checking

There are two standard ways to describe a subspace, explicitly by giving a basis, or implicitly, by the solution space of the set of homogeneous linear equations. Therefore, there are two ways of describing a linear code, explicitly, as we have seen in the previous sequence, by a generator matrix, or implicitly, by the null space of a matrix. This is what we will see in this sequence. This leads to the following definition: H is a parity check matrix of a linear code, if the code is the null space ...
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## 4.1. Introduction

Welcome to the fourth week of the MOOC Code-based Cryptography. Recall that we have mainly two ways of cryptanalyzing in the McEliece cryptosystem. We have Message Attacks, which address the problem of decoding a random linear code; these attacks has already been studied in the third week, by Nicolas Sendrier. Notice that efficient generic attack just makes the use of larger code in the McEliece scheme necessary. And we also have Key Attacks. These attacks try to retrieve the code structure, rather than attempting to use an specific decoding algorithm. These attacks ...
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