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 Showing results 1 to 25 of 483 Search took 0.04 seconds. Search: Posts Made By: Alberico Lepore
 Forum: Alberico Lepore 2021-05-06, 21:26 Replies: 5 Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial? Views: 672 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 Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial? Views: 672 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 Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial? Views: 672 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 Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial? Views: 672 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 Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial? Views: 672 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 Is it possible to use The Jubjub bird and The frumious Bandersnatch method in this polynomial? Views: 672 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 P_1_6 Integer Factorization Views: 361 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 P_1_6 Integer Factorization Views: 361 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 the sound of silence Views: 2,343 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 the sound of silence Views: 2,343 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 the sound of silence Views: 2,343 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 the sound of silence Views: 2,343 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 the sound of silence Views: 2,343 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 the sound of silence Views: 2,343 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 the sound of silence Views: 2,343 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 oʇᴉuᴉℲ oɔoᴉפ - ɹǝʌO ǝɯɐפ Views: 1,948 Posted By Alberico Lepore oʇᴉuᴉℲ oɔoᴉפ - ɹǝʌO ǝɯɐפ civil disobedience or noncooperation
 Forum: Alberico Lepore 2020-11-03, 18:52 Replies: 7 WTF factorization. Do you think it is a good method? Views: 1,505 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 WTF factorization. Do you think it is a good method? Views: 1,505 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 "New" same approach that isn't factorization Views: 6,703 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 "New" same approach that isn't factorization Views: 6,703 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 "New" same approach that isn't factorization Views: 6,703 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 "New" same approach that isn't factorization Views: 6,703 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 "New" same approach that isn't factorization Views: 6,703 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...
 Forum: Alberico Lepore 2020-09-10, 12:20 Replies: 22 "New" same approach that isn't factorization Views: 6,703 Posted By Alberico Lepore Bruteforce could be attempted for a multiple of 9... Bruteforce could be attempted for a multiple of 9 : 9*F N=161 , 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
 Forum: Alberico Lepore 2020-09-10, 11:38 Replies: 22 "New" same approach that isn't factorization Views: 6,703 Posted By Alberico Lepore So maybe I found when it's true: (a + b) mod 3... So maybe I found when it's true: (a + b) mod 3 = 0 in two cases M=[(a+b)/2-((a+b)/6-1)/2]*[2*[(a+b)/2-((a+b)/6-1)/2]-3] and M=[(a+b)/2-((a+b)/6+1)/2]*[2*[(a+b)/2-((a+b)/6+1)/2]+3]
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