Reputation
228
Top tag
Next privilege 250 Rep.
View close votes
Badges
3 12
Impact
~11k people reached

  • 0 posts edited
  • 0 helpful flags
  • 31 votes cast
1d
accepted Is there a way to recover the sum of a vector coefficients?
1d
asked Is there a way to recover the sum of a vector coefficients?
Apr
26
awarded  Notable Question
Apr
15
comment Cardinality of solutions for a set of linear equations
@Travis how there are not linear since A=BC?
Apr
15
comment Cardinality of solutions for a set of linear equations
Well from Travis's observation that BC=A it is quite obvious that the bound i am looking for all the different number of solutions is C(n,N) All the possible combinations of n elements out of N. Right? since the equations are linear dependent.As such any possible combinations of $x_i$ work
Apr
15
comment Cardinality of solutions for a set of linear equations
@Travis Well i am missing some theory because i cannot interpret why in curves $n=4$ where n is the possible elements of a curve.
Apr
15
comment Cardinality of solutions for a set of linear equations
Yes but $0 \notin \mathbb{F}_q^*$, since it is a field every element has multiplicative inverse so 0 is not part of it
Apr
15
comment Cardinality of solutions for a set of linear equations
@Travis Yes, actually $B=AC^{-1}$
Apr
15
comment Cardinality of solutions for a set of linear equations
I guess the solutions for $x_1$ are all the possible elements in the field. But once $x_1$ is fixed this restricts the values of $x_2$ and $x_3$. Right?
Apr
15
comment Cardinality of solutions for a set of linear equations
It is not somehow dictated by the set of equations which are 3?
Apr
15
comment Cardinality of solutions for a set of linear equations
Is there a bounded formula for the number of possible solutions?are there some constants A,B,C that give different number of possible solutions than other?
Apr
15
revised Cardinality of solutions for a set of linear equations
deleted 29 characters in body
Apr
15
comment Cardinality of solutions for a set of linear equations
@MarcvanLeeuwen i changed the question since it was wrong.
Apr
15
revised Cardinality of solutions for a set of linear equations
added 36 characters in body
Apr
15
comment Cardinality of solutions for a set of linear equations
@MarcvanLeeuwen they lie in a finite field: $x_i \in F_N^*$
Apr
15
comment Cardinality of solutions for a set of linear equations
Maybe the question was not clear. Given $A,B,C$. How many different sets of x_i satisfy this?
Apr
15
asked Cardinality of solutions for a set of linear equations
Mar
30
revised What is the probability of the sum of elements in $\mathbb{Z}_{N^2}^*$ to be multiplicatively inverted?
added 43 characters in body
Mar
30
asked What is the probability of the sum of elements in $\mathbb{Z}_{N^2}^*$ to be multiplicatively inverted?
Jan
28
awarded  Tumbleweed