List questions from reed-muller-codes

Published on 15 Apr 2018 - 2:17

26

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non-zero polynomial after partial assignment

Published on 07 Jun 2018 - 16:06

121

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Show that the $n+1$ elementary codewords (of length $2^{n}$ ) are linearly independent (Reed-Muller Codes)

Published on 05 Apr 2020 - 18:00

58

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(How) can two words differ in fewer places than the minimum distance?

Published on 25 Sep 2023 - 15:17

173

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Constructing a "microscopic" error correcting code

Published on 07 Feb 2021 - 7:45

300

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Recursive Reed-Muller matrix generation?

Published on 17 May 2021 - 15:17

54

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Describing a 2 error correcting BCH code by $c(x)$ codeword iff $β^1$, $β^2$, $β^3$, $β^4$ are roots of $c(x)$?

Published on 17 Jun 2021 - 21:37

54

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What kind of symmetric codes have a very large minimum distance?

Published on 25 Oct 2022 - 18:23

35

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How to achieve upper bound on the minimum distance of a BCH code?

Published on 17 Nov 2022 - 12:08

110

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Mathematical reasons behind my findings regarding the BCH codes?

Published on 12 Dec 2022 - 16:48

136

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I am proposing two conjectures regarding the BCH codes ! Can anybody prove or disprove my conjectures?

Published on 27 Dec 2022 - 12:42

72

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Difficulty in reading this old paper on coding theory

Published on 05 Jan 2023 - 17:26

45

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Importance of column regular matrices and its relation to the error-correcting codes.

Published on 18 Jan 2023 - 16:39

List Question

Show that there are polynomials of degree $m-k$ whose subsets of $EG(m,2)$ are not flats

non-zero polynomial after partial assignment

Show that the $n+1$ elementary codewords (of length $2^{n}$ ) are linearly independent (Reed-Muller Codes)

(How) can two words differ in fewer places than the minimum distance?

Constructing a "microscopic" error correcting code

Recursive Reed-Muller matrix generation?

Describing a 2 error correcting BCH code by $c(x)$ codeword iff $β^1$, $β^2$, $β^3$, $β^4$ are roots of $c(x)$?

What kind of symmetric codes have a very large minimum distance?

How to achieve upper bound on the minimum distance of a BCH code?

Mathematical reasons behind my findings regarding the BCH codes?

I am proposing two conjectures regarding the BCH codes ! Can anybody prove or disprove my conjectures?

Difficulty in reading this old paper on coding theory

Importance of column regular matrices and its relation to the error-correcting codes.

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