Question

How many elements with rank $r$ in the space $\mathbb{M}_n(\mathbb{F}_p)$?

score 1.1k · Answer 1 · 2017-02-16 13:00:05

1.1k

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How many elements with rank $r$ in the space $\mathbb{M}_n(\mathbb{F}_p)$?

Published on 16 Feb 2017 - 13:00

score 243 · Answer 2 · 2017-02-17 13:17:34

243

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Minimum Hamming distance for a certain binary linear code constructed using other codes

Published on 17 Feb 2017 - 13:17

score 2.2k · Answer 3 · 2017-02-17 14:13:05

2.2k

Views

Find a generating polynomial.

Published on 17 Feb 2017 - 14:13

score 541 · Answer 4 · 2017-02-23 17:34:20

541

Views

Number of binary cyclic codes of length $4$ and $6$?

Published on 23 Feb 2017 - 17:34

score 802 · Answer 5 · 2017-02-23 20:12:09

802

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Why does the primitive element $\alpha$ is a root of the field generator polynomial?

Published on 23 Feb 2017 - 20:12

score 87 · Answer 6 · 2026-03-26 13:01:18

87

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Confused about the definition of $M_{24}$, the largest Mathieu Group

Published on 26 Mar 2026 - 13:01

score 81 · Answer 7 · 2017-02-24 23:56:39

81

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Is there a decimal perfect code encoding 9 digits with 11 digits with a minimum distance of 3

Published on 24 Feb 2017 - 23:56

score 244 · Answer 8 · 2017-03-03 17:03:32

244

Views

How can I find the generating idempotent $e(x)$ from generating polynomial $g(x) $

Published on 03 Mar 2017 - 17:03

score 606 · Answer 9 · 2026-03-28 09:56:49

606

Views

Proving expected codeword length $\geq$ entropy, $L \geq H_D(X)$

Published on 28 Mar 2026 - 9:56

score 38 · Answer 10 · 2017-03-05 15:35:38

38

Views

why this is true in cyclic code?

Published on 05 Mar 2017 - 15:35

score 1.1k · Answer 11 · 2017-03-05 20:19:25

1.1k

Views

The maximal number of codewords in a code of length n with minimum distance at least d.

Published on 05 Mar 2017 - 20:19

score 916 · Answer 12 · 2017-03-06 09:22:39

916

Views

Why should a Reed Solomon code be a 'narrow sense' BCH -code?

Published on 06 Mar 2017 - 9:22

score 18 · Answer 13 · 2017-03-07 03:17:59

18

Views

any differences contains both 0 and 1.

Published on 07 Mar 2017 - 3:17

score 154 · Answer 14 · 2017-03-07 23:45:47

154

Views

How to find two functions $f,g :\mathbb Z_2^n\to \mathbb Z_2^n$ such that $f(x)+f(y) $ and $g(x)+g(y)$ determines $\{x,y\}$ uniquely

Published on 07 Mar 2017 - 23:45

score 1.1k · Answer 15 · 2017-03-10 16:05:56

if a code C has generator matrix G and parity matrix H then the dual of C has generator matrix H and parity check matrix G

List Question

How many elements with rank $r$ in the space $\mathbb{M}_n(\mathbb{F}_p)$?

Minimum Hamming distance for a certain binary linear code constructed using other codes

Find a generating polynomial.

Number of binary cyclic codes of length $4$ and $6$?

Why does the primitive element $\alpha$ is a root of the field generator polynomial?

Confused about the definition of $M_{24}$, the largest Mathieu Group

Is there a decimal perfect code encoding 9 digits with 11 digits with a minimum distance of 3

How can I find the generating idempotent $e(x)$ from generating polynomial $g(x) $

Proving expected codeword length $\geq$ entropy, $L \geq H_D(X)$

why this is true in cyclic code?

The maximal number of codewords in a code of length n with minimum distance at least d.

Why should a Reed Solomon code be a 'narrow sense' BCH -code?

any differences contains both 0 and 1.

How to find two functions $f,g :\mathbb Z_2^n\to \mathbb Z_2^n$ such that $f(x)+f(y) $ and $g(x)+g(y)$ determines $\{x,y\}$ uniquely

if a code C has generator matrix G and parity matrix H then the dual of C has generator matrix H and parity check matrix G

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