List questions from coding-theory

Published on 07 Mar 2020 - 15:50

22

Views

parity check matrix for MRD Code

Published on 18 Mar 2020 - 9:07

28

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Existence of a $(q-1,q^{q-d},d)$- linear code if $d \leq q-1$

Published on 25 Mar 2020 - 15:54

93

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Notation in rate distortion theory (vector quantization)

Published on 26 Mar 2020 - 15:11

148

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decoding systematic Reed-muller code

Published on 26 Mar 2020 - 17:31

26

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Understanding the logic behind showing that $x^2 + x + 2$ is primitive in $\mathbb{F}_5$

Published on 28 Mar 2020 - 18:43

776

Views

Find minima for the KL divergence

Published on 30 Mar 2020 - 2:02

258

Views

Should Equivalent Linear Codes be of the same dimension?

Published on 31 Mar 2020 - 0:45

424

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In a vector space over a finite field, must two subspaces with the same cardinality have the same dimension?

Published on 31 Mar 2020 - 16:07

196

Views

Calculating minimum Hamming distance (from number of error detections in code) of an IBAN bank code

Published on 01 Apr 2020 - 12:08

151

Views

Showing that $A_q(n,1)=q^n$ in the Main Coding Theory Problem.

Published on 03 Apr 2020 - 19:28

105

Views

Show any two distinct codewords in $C$ have distance $2^{n-1}$

Published on 03 Apr 2020 - 21:03

89

Views

Confusion in the definition of an $(n,M,d)$-code $C$

Published on 04 Apr 2020 - 1:55

35

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An $(n,M,d)$-code $C$ is an $(n,M,d-1)$-code

Published on 04 Apr 2020 - 17:41

52

Views

If $e\leq d$, prove that $A_q(n,e)\geq A_q(n,d)$.

Published on 04 Apr 2020 - 21:18

List Question

Code with only one codeword is perfect.

parity check matrix for MRD Code

Existence of a $(q-1,q^{q-d},d)$- linear code if $d \leq q-1$

Notation in rate distortion theory (vector quantization)

decoding systematic Reed-muller code

Understanding the logic behind showing that $x^2 + x + 2$ is primitive in $\mathbb{F}_5$

Find minima for the KL divergence

Should Equivalent Linear Codes be of the same dimension?

In a vector space over a finite field, must two subspaces with the same cardinality have the same dimension?

Calculating minimum Hamming distance (from number of error detections in code) of an IBAN bank code

Showing that $A_q(n,1)=q^n$ in the Main Coding Theory Problem.

Show any two distinct codewords in $C$ have distance $2^{n-1}$

Confusion in the definition of an $(n,M,d)$-code $C$

An $(n,M,d)$-code $C$ is an $(n,M,d-1)$-code

If $e\leq d$, prove that $A_q(n,e)\geq A_q(n,d)$.

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