List questions from finite-fields

Published on 20 Mar 2015 - 13:49

289

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Linear equations - how to find the solution over the boolean field closest to zero

Published on 20 Mar 2015 - 18:55

154

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Can we rewrite $Tr(ab^2)$ as $Tr(f(a)b)$?

Published on 21 Mar 2015 - 15:07

98

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Prove $(F,+)$ isomorphic to $(\mathbb{Z}_{p}, +) \times (\mathbb{Z}_{p}, +) \times ... \times (\mathbb{Z}_{p},+)$ ( $n$ times)

Published on 22 Mar 2015 - 22:35

65

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Elementary questions about polynomials and field extensions

Published on 23 Mar 2015 - 2:23

46

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Let $c_0, \cdots, c_{n-1}$ be elements of $\mathbb{F_{2^k}}$, find the sum $\sum\limits_{0\leq i < j <n}c_ic_j$

Published on 23 Mar 2015 - 13:06

117

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What happens to symplectic basis if bilinearity condition is weak

Published on 23 Feb 2026 - 12:13

671

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Explicitly construct a field with 729 elements

Published on 04 Apr 2026 - 13:16

488

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Counting total number of monic irreducible polynomials of all degrees $k$ that divide $m$.

Published on 04 Apr 2026 - 12:00

84

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Why is $E[l]\cong\mathbb Z/l\mathbb Z\times\mathbb Z/l\mathbb Z$ for an elliptic curve $E$?

Published on 26 Mar 2026 - 16:05

63

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Trace over $\mathbf{F}_2$ of $1/(\alpha + \alpha^{-1})$ where $\alpha^{2^n+1} = 1$

Published on 26 Mar 2015 - 23:57

83

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Is there any definition of such semi-bilinear?

Published on 27 Mar 2015 - 15:49

42

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Why are the elements of GF(q), whose characteristic is 2, all squares?

Published on 29 Mar 2015 - 16:28

139

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Shortened Reed-Solomon proving p(D) is primitive

Published on 30 Mar 2026 - 3:54

540

Views

Finding normal basis for GF(q^m) over GF(q)

Published on 31 Mar 2015 - 20:34

List Question

When is the Frobenius the identity?

Linear equations - how to find the solution over the boolean field closest to zero

Can we rewrite $Tr(ab^2)$ as $Tr(f(a)b)$?

Prove $(F,+)$ isomorphic to $(\mathbb{Z}_{p}, +) \times (\mathbb{Z}_{p}, +) \times ... \times (\mathbb{Z}_{p},+)$ ( $n$ times)

Elementary questions about polynomials and field extensions

Let $c_0, \cdots, c_{n-1}$ be elements of $\mathbb{F_{2^k}}$, find the sum $\sum\limits_{0\leq i < j <n}c_ic_j$

What happens to symplectic basis if bilinearity condition is weak

Explicitly construct a field with 729 elements

Counting total number of monic irreducible polynomials of all degrees $k$ that divide $m$.

Why is $E[l]\cong\mathbb Z/l\mathbb Z\times\mathbb Z/l\mathbb Z$ for an elliptic curve $E$?

Trace over $\mathbf{F}_2$ of $1/(\alpha + \alpha^{-1})$ where $\alpha^{2^n+1} = 1$

Is there any definition of such semi-bilinear?

Why are the elements of GF(q), whose characteristic is 2, all squares?

Shortened Reed-Solomon proving p(D) is primitive

Finding normal basis for GF(q^m) over GF(q)

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