List questions from coding-theory

Published on 13 Apr 2026 - 20:26

1.3k

Views

Max Hamming distance given n

Published on 13 Apr 2026 - 22:46

268

Views

Error correction for short strings

Published on 10 Apr 2026 - 10:38

64

Views

Difference between $F_2^n$ and $\Bbb F_2^n$ for a field

Published on 14 Apr 2026 - 3:01

189

Views

Show that every word of weight $4$ in $\mathbb{F}_{2}^{23}$ is of distance $3$ from exactly one codeword in the binary Golay code $G_{23}$.

Published on 16 Apr 2026 - 8:04

252

Views

If a binary $(n,M,d)$ code with $d$ even exists, then exists an $(n,M,d)$ code with even weight for all it's codewords

Published on 16 Apr 2026 - 5:20

429

Views

Design the best schemes in terms of information transmission speed

Published on 12 Apr 2026 - 8:22

123

Views

Are there explicit constructions of codes attaining the GV bound?

Published on 14 Apr 2026 - 17:58

96

Views

An Extension of an $MDS$ Code

Published on 16 Apr 2026 - 1:14

175

Views

Prove that the repetition code is the only linear code with parameters $[n,1,n]$

Published on 16 Apr 2026 - 7:40

1.8k

Views

How 8th bit in [8;4] Hamming code works?

Published on 14 Apr 2026 - 7:00

40

Views

Prove $p=2$ for a linear $[p^m+2, p^m-1, 4]$ MDS code

Published on 16 Apr 2026 - 18:49

185

Views

What happen when a lattice is contained in its dual?

Published on 05 May 2026 - 16:28

705

Views

Seeing weight of a code from generator matrix

Published on 09 Apr 2026 - 8:04

79

Views

How many cyclic codes are there containing $g(x)$?

Published on 29 Apr 2026 - 12:45

List Question

Group theory / codes

Max Hamming distance given n

Error correction for short strings

Difference between $F_2^n$ and $\Bbb F_2^n$ for a field

Show that every word of weight $4$ in $\mathbb{F}_{2}^{23}$ is of distance $3$ from exactly one codeword in the binary Golay code $G_{23}$.

If a binary $(n,M,d)$ code with $d$ even exists, then exists an $(n,M,d)$ code with even weight for all it's codewords

Design the best schemes in terms of information transmission speed

Are there explicit constructions of codes attaining the GV bound?

An Extension of an $MDS$ Code

Prove that the repetition code is the only linear code with parameters $[n,1,n]$

How 8th bit in [8;4] Hamming code works?

Prove $p=2$ for a linear $[p^m+2, p^m-1, 4]$ MDS code

What happen when a lattice is contained in its dual?

Seeing weight of a code from generator matrix

How many cyclic codes are there containing $g(x)$?

Trending Questions

Popular # Hahtags

Popular Questions