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Coding theory

This class was created by Brainscape user Dominique Gabriela. Visit their profile to learn more about the creator.

By: Dominique Gabriela
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Decks in this class (16)

Chapter 1 Coding
Block code,
S,
S l
13  cards
2 Error detection correction
Error correcting,
Error correcting,
Q ary n m d codes
11  cards
3 hamming distance
Hamming distance,
Prove that hamming distance is a ...,
Hamming weight
11  cards
4 Optimisation
Why optimise f_3length vs error d...,
Q ary symmetric channel with symb...,
Q ary symmetric channel with symb...
47  cards
5 Finite fields
Why use finite fields in coding,
Def 51 commutative ring,
For m an integer 1 and a a ring e...
17  cards
6 Linear codes
Span of v_i,
Subspace,
Linearly independent
34  cards
7 encoding
Example 71let c be 3 ary and gene...,
Why do we want g in standard form,
For a given linear code c over f_...
4  cards
8 Coset decoding
Error vector,
Def 81 coset,
Coset links for error vector
12  cards
9 probability of error correction detection
Considering probabilities with co...,
Considering probabilities with co...,
Word error rate of a code
12  cards
10 Dual codes
Inner product,
Defn 102 dual code,
Lemma 103 dual code
25  cards
11 syndrome decoding
Syndrome decoding,
Def 111 let h be a pcm for a n k ...,
Cosets of c are in 1 1 correspond...
14  cards
12 exercises
The 26 letters of the alphabet ma...,
The 26 letters of the alphabet ma...,
The 26 letters of the alphabet ma...
14  cards
13 Hamming codes
Hamming codes intro binary,
A hamming code exampleh_7y_3 x_1y...,
Venn diagrams considering h_7
13  cards
14 Hamming over non binary fields
U is projectively equivalentto v ...,
Example z has the following proje...,
Definition 143 h is pcm is a q ar...
11  cards
15 Cyclic codes
Def cyclic code,
Is 2 ary code c 000 101 011 110 c...,
Polynomials in a field ff x monic...
46  cards
17 Exercises
171 exercise assume given integer...,
171 exercise assume given integer...,
Compare to binary golay code n 24
19  cards

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Coding theory

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