List questions from reed-muller-codes

Published on 24 Feb 2026 - 1:39

29

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non-zero polynomial after partial assignment

Published on 09 Apr 2026 - 1:59

122

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

Published on 24 Feb 2026 - 1:39

59

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

Published on 24 Feb 2026 - 0:10

174

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Constructing a "microscopic" error correcting code

Published on 24 Feb 2026 - 1:30

302

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Recursive Reed-Muller matrix generation?

Published on 01 Apr 2026 - 15:20

56

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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 11 Apr 2026 - 8:17

55

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

Published on 24 Feb 2026 - 1:39

36

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

Published on 24 Feb 2026 - 1:35

111

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Mathematical reasons behind my findings regarding the BCH codes?

Published on 24 Feb 2026 - 1:35

137

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

Published on 24 Feb 2026 - 1:36

74

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Difficulty in reading this old paper on coding theory

Published on 11 Apr 2026 - 5:05

48

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

Published on 11 Apr 2026 - 15:20

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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