Question

Given a polynomial $f$, find another, $h$, s.t $wt(h) \leq wt(f)$ and $\dim_K((h)) \leq \dim_{\mathbb{F}}((f))$

score 66 · Answer 1 · 2018-01-04 10:52:11

66

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Given a polynomial $f$, find another, $h$, s.t $wt(h) \leq wt(f)$ and $\dim_K((h)) \leq \dim_{\mathbb{F}}((f))$

Published on 04 Jan 2018 - 10:52

score 383 · Answer 2 · 2018-01-06 15:34:02

383

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Published on 06 Jan 2018 - 15:34

score 86 · Answer 3 · 2018-01-07 12:44:01

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score 451 · Answer 4 · 2018-01-08 12:47:26

451

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score 40 · Answer 5 · 2018-01-08 17:56:29

40

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600

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91

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score 334 · Answer 8 · 2018-01-12 21:01:15

334

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List Question

Given a polynomial $f$, find another, $h$, s.t $wt(h) \leq wt(f)$ and $\dim_K((h)) \leq \dim_{\mathbb{F}}((f))$

generatingfunctionology on codewords

How might I calculate the probability that a sent codeword $x \in \text{Ham} (\mathbb{Z}_2^5)$ is incorrectly decoded?

Question about this proof of the Singleton Bound?

Trace polynomial from $\mathbb{F}_{q^r}$ to $\mathbb{F}_{q^r}$

Minimum distance of binary bch codes

About equidistant codes

Show that there is precisely one cyclic code C of length 8 and dimension 3. Write down a generator matrix for C.

What requirements should a CRC polynomial satisfy?

Shifting an LFSR loop in O(1) time?

Database of binary linear codes (including bad ones)

Is the set of all finite sequences of letters of Latin alphabet countable/uncountable? How to prove either?

Codes: Distance, number of codewords, etc

Galois Field Fourier Transform

Constructing the binary Golay code from the extended binary Golay code

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