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Search: Posts Made By: Alberico Lepore
Forum: Alberico Lepore 2021-05-11, 17:36
Replies: 1
Views: 710
Posted By Alberico Lepore
free copy @CRGreathouse your number ...

free copy



@CRGreathouse your number
https://mersenneforum.org/showthread.php?t=25929


390644893234047643
Forum: Alberico Lepore 2021-05-09, 09:14
Replies: 1
Views: 710
Posted By Alberico Lepore
Lepore Factorization nr.88

I've tried again

Lepore Factorization nr.88

https://www.academia.edu/48848013/Lepore_Factorization_nr_88
Forum: Alberico Lepore 2021-05-06, 21:26
Replies: 5
Views: 1,033
Posted By Alberico Lepore
p(x, y) = a + bx + cy + dxy ; X*Y < W^(2/3δ)...

p(x, y) = a + bx + cy + dxy ;

X*Y < W^(2/3δ) ;

W = max{|a|, |b|X, |c|Y, |d|XY }

we can easily choose | d | XY of the order size N ^ 2 and X * Y of the order size of N.

that is the problem?
Forum: Alberico Lepore 2021-05-05, 08:51
Replies: 5
Views: 1,033
Posted By Alberico Lepore
can we use the Coppersmith method multivariate in...

can we use the Coppersmith method multivariate in this case?


(8*a*b-65*a-67*b+5) mod 319 = 0

(25*a+11)*(27*b+1) mod 1763 = 0
Forum: Alberico Lepore 2021-05-04, 21:25
Replies: 5
Views: 1,033
Posted By Alberico Lepore
(65-8 * b) * (67-8 * a) -1763 = 0 -> ...

(65-8 * b) * (67-8 * a) -1763 = 0
->
(8*a*b-65*a-67*b+324)=0 which is irreducible

pag 3
http://www.crypto-uni.lu/jscoron/publications/bivariate.pdf
Forum: Alberico Lepore 2021-05-04, 09:32
Replies: 5
Views: 1,033
Posted By Alberico Lepore
At least see if I understand: in my case...

At least see if I understand:


in my case given two polynomials

for example

(25*a+11)*(27*b+1) mod 1763 ==0

and
Forum: Alberico Lepore 2021-05-03, 18:39
Replies: 5
Views: 1,033
Posted By Alberico Lepore
N=p*q with p+q=8*x+4

N=p*q

with

p+q=8*x+4
Forum: Alberico Lepore 2021-05-03, 10:34
Replies: 5
Views: 1,033
Posted By Alberico Lepore
Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial?

Given the bivariate polynomial

p(m,n) = 675 * m * n + 297 * m + 25 * n + 11

The bivariate Coppersmith method can be used to find m0 and n0 such that

(675 * m0 * n0 + 297 * m0 + 25 * n0 + 11)...
Forum: Alberico Lepore 2021-04-26, 13:54
Replies: 2
Views: 467
Posted By Alberico Lepore
unfortunately there is a very important error in...

unfortunately there is a very important error in the second pdf but the first pdf is correct


Error
Forum: Alberico Lepore 2021-04-25, 19:50
Replies: 2
Views: 467
Posted By Alberico Lepore
P_1_6 Integer Factorization

P_1_6 Integer Factorization

and

Method of solving the factorization system of P_1_6 Integer Factorization (Exercise)


after more than 6 years I think I made it.
what do you think ?
Forum: Alberico Lepore 2020-11-12, 09:59
Replies: 6
Views: 2,606
Posted By Alberico Lepore
this is the best logarithmic implementation I...

this is the best logarithmic implementation I could think of.
I leave the implementation to you expert programmers


pure logarithm

N=507


3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
Forum: Alberico Lepore 2020-11-11, 15:26
Replies: 6
Views: 2,606
Posted By Alberico Lepore
another type of implementation based on the same...

another type of implementation based on the same principle
is this [if I have not made mistakes]



3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
,
y=2*[(-1)^((y+1)/2-1)]*a+(-1)^[(-1)^((y+1)/2)]
,...
Forum: Alberico Lepore 2020-11-11, 11:08
Replies: 6
Views: 2,606
Posted By Alberico Lepore
then not to test at any level of log y log y...

then
not to test at any level of log y
log y must be overcome

example

3*(((2*250-3*(1-y)+1)/24)+3*x*(x+1)/2)+1=A
,
sqrt((1-y)^2)=sqrt((2*a-1)^2)
,
Forum: Alberico Lepore 2020-11-08, 15:49
Replies: 6
Views: 2,606
Posted By Alberico Lepore
if I am not wrong this is the demonstration ...

if I am not wrong this is the demonstration

((2*(3*N-1)/8-3*y+1)/24)=x*(x+1)/2-(y+1)/2*(y-1)/2/2
,
p*q=N
,
q=2*(3*x+1-(x-y+1))+1
,
p=2*(3*x+1-(x-y+1))+1-(4*y-2)
,
Forum: Alberico Lepore 2020-11-08, 06:00
Replies: 6
Views: 2,606
Posted By Alberico Lepore
I fixed the bug it should now be correct ...

I fixed the bug

it should now be correct

Example

N=507


3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
Forum: Alberico Lepore 2020-11-07, 14:59
Replies: 6
Views: 2,606
Posted By Alberico Lepore
there is a small mistake that makes it all in...

there is a small mistake that makes it all in vain

red - correction
Forum: Alberico Lepore 2020-11-07, 14:19
Replies: 6
Views: 2,606
Posted By Alberico Lepore
the sound of silence

hey @CRGreathouse here is your log y

if N=p*q & p+q-4 mod 8 = 0 & (q-p+2)/4=y is odd [but ...]


M=(3*N-1)/8

special formula

Z=(2*M-3*y+1)/24
Forum: Alberico Lepore 2020-11-05, 08:29
Replies: 6
Views: 2,191
Posted By Alberico Lepore
oʇᴉuᴉℲ oɔoᴉפ - ɹǝʌO ǝɯɐפ

civil disobedience or noncooperation
Forum: Alberico Lepore 2020-11-03, 18:52
Replies: 7
Views: 1,844
Posted By Alberico Lepore
I lowered to O(72 *[Lenstra elliptic-curve...

I lowered to O(72 *[Lenstra elliptic-curve factorization])

case: x odd

N=377

solve (1152 h^2 + 64 h + 6)=x*(x+1)/2
,
2/3*[9*(1152 h^2 + 64 h + 6)+1+sqrt[8*[9*(1152 h^2 + 64 h +...
Forum: Alberico Lepore 2020-11-03, 11:51
Replies: 7
Views: 1,844
Posted By Alberico Lepore
WTF factorization. Do you think it is a good method?

case:

N=p*q
&
q-p=n
&
n mod 8 = 0
&
p+n/2=3*(2*x+1)
Forum: Alberico Lepore 2020-09-20, 21:00
Replies: 22
Views: 7,991
Posted By Alberico Lepore
I believe that global cooperation in every sector...

I believe that global cooperation in every sector is the future.
Forum: Alberico Lepore 2020-09-20, 09:11
Replies: 22
Views: 7,991
Posted By Alberico Lepore
Infinite equations of this type can be generated.

Infinite equations of this type can be generated.
Forum: Alberico Lepore 2020-09-18, 19:28
Replies: 22
Views: 7,991
Posted By Alberico Lepore
What kind of information about the factors?

What kind of information about the factors?
Forum: Alberico Lepore 2020-09-18, 17:51
Replies: 22
Views: 7,991
Posted By Alberico Lepore
I have found other equations where, perhaps, the...

I have found other equations where, perhaps, the Coppersmith method is applicable

I don't know with what efficiency

solve (N*F-1)/8=(X^2-1)/8-2*((b-a)/8)^2 ,a*b=(N*F) ,...
Forum: Alberico Lepore 2020-09-10, 16:48
Replies: 22
Views: 7,991
Posted By Alberico Lepore
If we solve F as a function of a and N solve...

If we solve F as a function of a and N

solve 2*(N*9*F)+2*a^2+((b-a)/2)^2=((3*a+b)/2)^2 , a*b=(N*9*F) , 2*(N*9*F)+2*1^2+((a+b)/2+1)^2-((3*a+b)/2)^2=0 ,F,b

->

9*N*F=2*a^2-3*a

multiplying by...
Showing results 1 to 25 of 485

 
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