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 Curious
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Jun
12
comment How to find the 4th degree polynomial with given values at $0,1,2,3,4$?
I think you mean q(1)=1.
Oct
17
comment polynomial over finite field, roots forming additive subgroup
The motivation by the way is proving a property of certain point sets in projective geometry over finite fields. A proof of this (even just the {0,w1,...,wt} part) can be completed by me to a good research article (web of science level). I will gladly offer coauthorship to whoever provides me with a proof.
Oct
17
awarded  Curious
Oct
16
revised polynomial over finite field, roots forming additive subgroup
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Oct
16
comment polynomial over finite field, roots forming additive subgroup
The $\{w_i | 1\le i\le t-1\}$ are a fixed set for which a polynomial $f$ with said properties exist. If it helps, it can be derived from the above properties that when writing $f(z)=\sum_{i=0}^{q-1} a_i z^i$ then $a_1=\sum_{i=1}^{t-1} w_i^{-1}$ and that $a_{2s+1}=0$ for all $s\ge 1$, and also that $a_{q-2}=0$.
Oct
16
comment polynomial over finite field, roots forming additive subgroup
I updated the problem statement even more. These $q/t+1$ sets all appear to be cosets of additive subgroups of size $t$ of $\mathbb{F}_q$.
Oct
16
revised polynomial over finite field, roots forming additive subgroup
added 69 characters in body
Oct
16
awarded  Commentator
Oct
16
comment polynomial over finite field, roots forming additive subgroup
You are right, I have probably cut out too much of the original problem. I have updated it to the full problem statement now.
Oct
16
revised polynomial over finite field, roots forming additive subgroup
added 417 characters in body
Oct
16
asked polynomial over finite field, roots forming additive subgroup
Oct
16
answered Is a Spread Unique?
Oct
16
comment Number of vector and affine subspaces of dimension $ k$ of $E$ over $\mathbb{F_q}$
I don't see what you want to prove... is $\mathcal E$ not equal to $(\mathbb{F}_q)^n$?
Oct
16
answered Existence of a special set of q+2 points in the finite affine plane over $\mathbb F_q$
Sep
30
comment {0,1}-solutions for integer equations via lattice base reduction?
Thanks! That second link seems to give an error though: Forbidden You don't have permission to access /~mec/Summer2009/meerkamp/Site/Solving_any_Sudoku_II.html on this server.
Sep
21
answered Battle Ship Winning Algorithm - Optimal Strategy
Sep
21
asked {0,1}-solutions for integer equations via lattice base reduction?
Jun
24
comment Complement of all-one vector in binary vector space
No, you are right, this doesn't work for every code. It luckily worked for this one, since it turns out that the only way to form the all-one vector from these minimum-weight code words is by summing up an odd number of them. Not exactly generally applicable thus. But more such possibilities are welcomed!
Jun
24
answered Complement of all-one vector in binary vector space
Jun
24
revised Complement of all-one vector in binary vector space
added 363 characters in body